UBC Theses and Dissertations

UBC Theses Logo

UBC Theses and Dissertations

Adam von Fulda on musica plana and compositio : De musica, book II : a translation and commentary Slemon, Peter John 1994

Your browser doesn't seem to have a PDF viewer, please download the PDF to view this item.

Item Metadata

Download

Media
831-ubc_1995-983485.pdf [ 12.79MB ]
Metadata
JSON: 831-1.0088909.json
JSON-LD: 831-1.0088909-ld.json
RDF/XML (Pretty): 831-1.0088909-rdf.xml
RDF/JSON: 831-1.0088909-rdf.json
Turtle: 831-1.0088909-turtle.txt
N-Triples: 831-1.0088909-rdf-ntriples.txt
Original Record: 831-1.0088909-source.json
Full Text
831-1.0088909-fulltext.txt
Citation
831-1.0088909.ris

Full Text

ADAM VON FULDA ON MUSICA PLANA AND COMPOSITIO. DE MUSICA, BOOK II: A TRANSLATION AND COMMENTARY by PETER JOHN SLEMON B.A., The University of Toronto, 1966 B.Sc, The University of British Columbia, 1969 B.Mus., The University of British Columbia, 1971 M.M.A., McGill University, 1975 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY in THE FACULTY OF GRADUATE STUDIES (School of Music, Department of Musicology) We accept this thesis as conforming to jkher-feguired ^ standard THE UNIVERSITY OF BRITISH COLUMBIA December 1994 © Peter John Slemon, 1994 In presenting this thesis in partial fulfilment of the requirements for an advanced degree at the University of British Columbia, I agree that the Library shall make it freely available for reference and study. I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the head of my department or by his or her representatives. It is understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission. (Signature) Department of The University of British Columbia Vancouver, Canada Date (5~~T>^c. f 9 0 4 DE-6 (2/88) ii ABSTRACT Adam von Fulda, German musician, composer and teacher, completed his important treatise on music in 1490. While representing a conservative, northern tradition in late-medieval music theory, it also shows some evidence of humanist influence. The treatise is divided into four books which discuss the origins and uses of music, the theory of plainchant, mensuration and notation of rhythm, and proportions, respectively. Thus, throughout this informative work, Adam mixes the practical with the speculative. Although his style of explaining technical matters is clear and succinct, he also engages the reader's interest with his polemical and rhetorical digressions. This dissertation presents a detailed commentary upon Book II of the treatise, on musica plana (plainchant), accompanied by a translation from the Latin. The first two chapters of the dissertation are concerned with the biographical information available on Adam von Fulda, as well as with the format and transmission of the treatise. Three chapters of the dissertation serve as the commentary. Chapter III discusses Adam's treatment of the practical aspects of singing plainchant, including his iii discussions of the Guidonian hand, the gamut, the naming of pitches, hexachords and mutation (material covered in Chapters 1 to 6 of the treatise's second book). Chapter IV of the dissertation considers the subject of musical intervals as covered by Adam, and the ten rules of composition provided in his Chapters 7 to 12. These rules are perhaps the most interesting and unusual part of Book II, as they go beyond the stated subject of plainchant. Written composition, not just improvised counterpoint, is treated in a manner that anticipates later humanist regard for music as an art. Finally, Chapter V examines Adam's treatment of the modes of plainchant (discussed in his Chapters 13 to 17). A conclusion summarizes Adam's impact on later theorists and the importance of the treatise. iv TABLE OF CONTENTS ABSTRACT ii TABLE OF CONTENTS iv LIST OF TABLES vi LIST OF FIGURES vii LIST OF ABBREVIATIONS viii ACKNOWLEDGEMENTS ix DEDICATION X PREFACE 1 CHAPTER I. THE LIFE OF ADAM VON FULDA 5 II. THE MUSIC TREATISE OF ADAM VON FULDA 20 III. ADAM ON BASIC ASPECTS OF PITCH: BOOK II, CHAPTERS 1 TO 6 39 IV. ADAM ON INTERVALS AND COUNTERPOINT: BOOK II, CHAPTERS 7 TO 12 70 V. ADAM ON MODES: BOOK II, CHAPTERS 13 TO 17 108 VI. CONCLUSION 130 BIBLIOGRAPHY 139 V TABLE OF CONTENTS (CONTINUED) APPENDICES A. SUMMARY OF CONTENTS OF ADAM'S DE MUSICA 161 B. TRANSLATION OF BOOK II OF ADAM'S DE MUSICA 167 C. CHARTS AND DIAGRAMS IN BOOK II: GERBERT'S EDITION AND BOLOGNA MANUSCRIPT 218 D. PARALLEL PASSAGES FROM OTHER TREATISES 236 INDEX OF NAMES 240 vi LIST OF TABLES Table 1. Contents of Bologna manuscript 25 Table 2. Adam's Additions to the Gamut 82 TABLE IN APPENDIX D Table of Parallel Passages 236 vii LIST OF FIGURES Figure 1. Map of Germany 17 Figure 2. Psalm Tone Formulae 126 CHARTS AND DIAGRAMS IN APPENDIX C 1. Bol: Diagram of Guidonian Hand 218 2. G: Diagram of Guidonian Hand 219 3. Bol: Chart of hexachords 220 4. G: Chart of hexachords 221 5. Bol: Chart replacing Gerbert text, II/3/13-26 221 6. Bol: Chart replacing Gerbert text, II/3/40-42 .... 221 7. Bol: Chart of gamut, hexachords and tetrachords .. 222 8. G: Chart of gamut, hexachords and tetrachords .... 223 9. Bol: Chart replacing Gerbert text, II/5/12-27 .... 224 10. Bol: Chart of mutations 224 11. G: Chart of mutations 225 12. Bol: Chart replacing Gerbert text, II/6/134-38 .. 225 13. Bol: Chart replacing Gerbert text, II/7/40-67 — 226 14. Bol: Chart replacing Gerbert text, II/7/72-110 .. 227 15. Bol: Chart of intervals 228 16. Bol: Chart of intervals and note names 229 17. G: Chart of intervals and note names 230 18. Bol: Chart replacing Gerbert text, 11/10/10-23 .. 231 19. Bol: Chart of names of modes 231 20. G: Chart of names of modes 232 21. Bol: Chart of authentic and plagal modes 232 22. G: Chart of authentic and plagal modes 233 23. Bol: Chart of initials and finals of modes 233 24. G: Chart of initials and finals of modes 234 25. Bol: Musical example of modal formulae 234 26. G: Musical example of modal formulae 235 27. Bol: Chart replacing Gerbert text, 11/15/62-70 .. 235 viii LIST OF ABBREVIATIONS Frequently cited titles are abbreviated as follows: Affl. Johannes (Cotton) Affliqhemensis. De Musica cum Tonario. CSM 1. Babb Guido, Hucbald and John on Music. Boeth. Anicius Manlius Severinus Boethius. De institutione musica. ed. Friedlein. Bower Bower, Calvin M. Fundamentals of Music. Anicius Manlius Severinus Boethius. CS Coussemaker, C. E. H. de. Scriptorum de Musica medii aevi nova series. CSM Corpus Scriptorum de Musica. GS Gerbert, Martin. Scriptores Ecclesiastici de Music Sacra Potissimum. Guido Guidonis Aretini. Micrologus. CSM 4. TML Thesaurus Musicarum Latinarum. Since no symbol is available for square B (B-natural), "#" will be used. The entire gamut of Guido is thus shown as follows: T A B C D E F G a b/# c d e f g aa bb/## cc dd. Citations from the Latin text of Book II from Appendix B will be indicated by Book/Chapter/Line numbers, for example, II/3/45-48. ix ACKNOWLEDGEMENTS It is difficult to express the gratitude I feel towards my two advisers, without whom this project would never have got started. Dr. Elizabeth Bongie of the U.B.C. Classics Department gave many hours of help and much wise advice in my preparation of the translation, and proferred enthusiastic personal support as well. Dr. J. Evan Kreider of the U.B.C. School of Music saw me through the early stages of the degree and the dissertation with great sympathy, and provided valuable counsel on the format and writing of this work. The members of my committee, Dr. Gregory Butler, Dr. John Roeder and Dr. John Sawyer were constant sources of both encouragement and information. Library staff have been an invaluable aid in working on this dissertation. I wish to acknowledge in particular the kind and constant help of Kirsten Walsh and Hans Burndorfer of the U.B.C. Music Library and their friendly assistants, Erin Fitzpatrick and Leslie McCauley. The library of the University of Washington has been of fine service to me, and I thank also the librarians of Civico Museo Bibliografico Musicale di Bologna. To the following professors, who have been thoughtful and generous with advice, I am grateful: Danilo Aguzzi-Barbagli, Susan Fast, Frederick Hammond, Walter Kreyszig, Rika Maniates, Clement Miller, Claude Palisca and Gilbert Reaney. I wish also to acknowledge the inspiration provided by published translations by Calvin Bower, Oliver Ellsworth, Jan Herlinger and Jeremy Yudkin. They have set a high standard that I have tried to emulate. During the final stages of the writing of this dissertation, I was awarded a Fellowship to work on the Thesaurus Musicarum Latinarum at Indiana University. This post provided not only a highly stimulating learning experience, but also a great deal of help with my own work. The kindness, support and profound knowledge of the project director, Thomas Mathiesen, have been both a joy and an inspiration. I am most grateful to him and to my colleagues there, Bradley Tucker and Angela Mariani, for a rewarding year. The library of Indiana University was of great assistance, and the staff there were consistently friendly and helpful. I thank Douglas College and the University of British Columbia for the financial wherewithal to survive this long process. And finally, but no less importantly, my heartfelt gratitude goes to my mother and to my dear friends, Belle Mulholland, Doreen Oke and Mark Robins. Their love and kind but persistent urging have seen me past many a daunting obstacle. X DEDICATION To the memories of DONALD MACKEY and BELLE MULHOLLAND, sine quibus, nihil. PREFACE 1 When Adam von Fulda penned his music treatise in 1490, Europe was in the midst of profound change. Spanish and Portuguese explorers were venturing further and further away on the seas, and were poised to discover and exploit a whole new world. Italian painters were creating a radically new approach to art, one using the science of perspective to give an illusion of reality and unified space. Authors, critics and philosophers were probing the works of ancient Greece and Rome, in the process changing not only literary forms and themes, but their most basic ideas about life. Religious thinkers were guestioning many traditional practices and long-held concepts, and were about to perpetrate the great explosion of the Protestant Reformation upon the Western world. Books were flowing forth from the new printing presses. Science, trade, industry, politics, urban development—everything was in upheaval. Nor was music immune from this pervasive spirit of change. The northern composers, culminating with Josguin des Pres, were forging a new style of composition which would become the central language of Renaissance music. Interest in the secular was beginning to displace that in the sacred, and the writing of instrumental music was on the rise. Printing was about to change forever the 2 accessibility of music-making to the populace. Finally, theoretical writing about music, especially in Italy, was at a most prolific and confrontational stage.1 Thus, a consideration of the music treatise of Adam von Fulda would be interesting just as a reflection of these tumultuous times. In fact, this work has other importance as well, for the treatise can be seen as something of a watershed in several ways. While Adam follows in the well-trod, conservative path of the writers of late medieval treatises, he also looks ahead to the establishment of humanist ideas in Germany. Again, while it remains one of the last significant northern treatises to appear only in manuscript, it anticipates in its form and contents the printed books about music which had a considerable efflorescence in sixteenth-century Germany. It has been noted by Howard Mayer Brown that "Studies of the Renaissance...have rightly centered on artistic, intellectual, and philosophical events in Italy. Music in 1. Several articles of Edward E. Lowinsky discuss with great insight the changes in the European world view during the Renaissance. See, for instance, "The Concept of Physical and Musical Space in the Renaissance (A Preliminary Sketch)," in Papers of the American Musicological Society, Annual Meeting, 1941, Minneapolis, Minnesota, ed. by Gustave Reese (n.p.: American Musicological Society 1946), pp. 57-84; also found in Edward E. Lowinsky, Music in the Culture of the Renaissance and Other Essays, 2 vols., ed. with introduction by Bonnie J. Blackburn and foreward by Howard Mayer Brown and Ellen T. Harris (Chicago: University of Chicago Press, 1989), 1:6-18. 3 the Renaissance, on the other hand, is a northern art...."^ Unlike musical composition, however, the writing of theoretical treatises on music was more of an Italian preoccupation. While there exist a number of treatises from the north in this period, they have been little studied and have been overshadowed by works of Italian writers such as Ugolino, Gafurius, and Zarlino. It is important, then, to examine theorists from the north, such as Adam von Fulda, in order to give due recognition to that concurrent tradition, its importance and its influences. Since this significant music treatise of Adam von Fulda has never been translated, that was undertaken as the first step in this study. It is always useful to have historical treatises available to scholars in an accessible form, and Adam's has much of interest. In particular, the second of the four books is valuable for its unique rules of composition, and also for the extended sections of vivid polemics in which Adam speaks his mind about musical conditions in his day. Because of these intriguing aspects, it was decided to provide a detailed commentary to Book II, rather than a more general treatment of the entire treatise. However, the translation of the work has been completed, 2. Howard Mayer Brown, Music in the Renaissance (Englewood Cliffs, N. J.: Prentice-Hall, 1976), p. 4. For an alternative view, see Claude V. Palisca, Humanism in Italian Renaissance Thought (New Haven, Connecticut: Yale University Press, 1985), pp. 1-22. 4 leaving open the possibility for future publication of an annotated version; the whole treatise is summarized below. This dissertation, then, considers Book II of the four books of Adam's treatise. The annotated translation of Book II is presented as Appendix B. Detailed treatment begins in Chapter I with a look at Adam's life and its documentation. The second chapter examines the manuscript and printed sources for the treatise itself, as well as influences on Adam's work, and includes a general summary of its contents. The subsequent three chapters probe the material presented in the treatise, following Adam's division of subject matter. A conclusion briefly discusses Adam's impact on future music-theoretic writing in Germany and the importance of his treatise. 5 CHAPTER I THE LIFE OF ADAM VON FULDA (c. 1450 - 1505) Although the works of Adam von Fulda were seldom familiar in European cathedrals and courts, the composer's name has not often been absent from the attention of musicians since the Renaissance. Circulating initially in manuscripts, Adam's music was soon issued in printed form and continued to be published until the end of the seventeenth century. Soon after, with the writing of the early music lexicons of the eighteenth century, his name and contributions began to be duly noted. Gerbert's publication of Adam's treatise in 17841 rekindled interest in the man, although by then little was known of his compositions. By the end of the nineteenth century, detailed research was seeking to bring to light new data about both his music and his life. This chapter will summarize the available information about Adam von Fulda and present background material on his life and works. 1. Adam von Fulda, De musica, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Martin Gerbert (St. Blasien, 1784; repr. ed. Hildesheim: Georg Olms, 1963), 3:329-381. 6 Biographical Sources Biographical information has rarely been as meagre or confused as has that for Adam von Fulda. One of the first writers to comment upon him was the Swiss university professor, Heinrich Glarean. In his monumental treatise, the Dodecachordon2, he quotes Adam's lied, Ach hulf mich Leid, as a Latin contrafactum with the text O vera lux, and states that it is "most elegantly composed and much sung throughout Germany."3 This was in fact the only work of Adam von Fulda to be known in the eighteenth and nineteenth centuries, and even it might have rested in oblivion were it not for Glarean's observation. Surprisingly, Glarean's citation of 1547 provides us with the last mention of Adam's name, aside from sporadic editions of his compositions, until 1732. In that year, Walther included a short entry in his Musikalisches Lexikon,^ repeating the information from Glarean and also noting the inclusion of Ach hiilf mich Leid in the 1673 Magdeburg publication of sacred songs and psalms, 2. Heinrich Glarean, Dodecachordon (Basel, 1547) trans, by Clement A. Miller (n.p.: American Institute of Musicology, 1965), pp. 108, 253. 3. "...elegantissime composita, ac per totam Germaniam cantatissima." Glarean, p. 261. 4. Johann Gottfried Walther, Musikalisches Lexikon (Leipzig: Wolffgang Deer, 1732; facsimile edition edited by Richard Schaal, Kassel: Barenreiter, 1953), p. 9. 7 Enchiridion.5 This appears to have been the last edition of a work of Adam before the revival of scholarly interest in him in the 1890's. Gerbert's publication of De Musica of Adam von Fulda in 1784 included little new information in its introduction. Later discussion of Adam, beginning with Gerber in 1790,6 focused more exclusively on the treatise; with Forkel's publication of 1792,7 a summary of the contents became a frequent inclusion in biographical entries. Few commentators, however, seem to have read the treatise carefully, for the few details it gives about Adam's life are not included in their writings. False information was unfortunately presented by Gerber in 1812,8 resulting from his confusing the younger musician, Adam Krafft von Fulda, with the older master. This mistake, like so many that were printed in those early works, remained unchallenged and was to persist through the presentations of several subsequent No mention of this publication, aside from Walther's, has been found. Ernst Ludwig Gerber, Historisch-biographisches Lexicon der Tonkiinstler, 2 vols. (Leipzig: J. G. I. Breitkopf, 1790; facsimile edition edited by Othmar Wessely, Graz: Akademische Druck- und Verlaganstalt, 1976), 1:8. Johann Nikolaus Forkel, Allgemeine Literatur der Musik, 2 vols. (Leipzig: Schwikertschen, 1792; facsimile edition Hildesheim: Georg Olms, 1962), 1:116. Ernst Ludwig Gerber, Neues historisch-biographisches Lexikon der Tonkiinstler, 4 vols. (Leipzig: A. Kuhnel, 1812-14; facsimile edition edited by Othmar Wessely, Graz: Akademische Druck- und Verlaganstalt, 1966), 1:13. 8 writers, such as Schilling, Mendel, and Paul;y it was not corrected until the time of Kiimmerle's remarks,10 some seven decades later. Throughout the nineteenth century, brief reports on Adam are to be found in works by Choron and Fayolle, Fetis, Dommer, Ambros, and Reissmann.11 Articles by Eitner, Riemann, and Niemann12 around the turn of the twentieth century finally began to provide a more scholarly consideration of the life and works of Adam von Fulda. New music was found, edited, and discussed. An article by Moser,13 growing out of his work on Paul 9. Gustav Schilling, Encyclopaedie der Gesammten Musikalischen Wissenschaften, 6 vols. (Stuttgart: Franz Heinrich Kohler, 1835), 1:56; Hermann Mendel, Musikalisches Conversations-Lexikon, 11 vols. (Berlin: L. Heimann, 1870), 1:34; Oscar Paul, Handlexikon der Tonkunst (Leipzig, 1873), p. 18. 10. Salomon Kummerle, Encyklopaedie der Evangelisches Kirchenmusik, 4 vols. (Giitersloh: Bertelsmann, 1888), 1:9. 11. Alexandre E. Choron and F. J. M. Fayolle, Dictionnaire historique des musiciens, 2 vols. (Paris: Valade, 1810), 1:3; Francois J. Fetis, Biographie universelle des musiciens, 2nd ed., 2 vols. (Paris: Firmin Didot Freres, 1868), 1:13; Allgemeine Deutsche Biographie, 1875, s.v. "Adam von Fulda," by Arrey von Dommer; August Wilhelm Ambros, Geschichte der Musik, 5 vols. (Leipzig: F. E. C. Leuckart, 1880), 3-4:374-375; August Reissmann, Illustrierte Geschichte der deutschen Musik, 2nd ed. (Leipzig: Fues's verlag, 1892), p. 128. 12. Robert Eitner, "Das alte deutsche mehrstimmige Lied und seine Meister," Monatshefte fur Musik-Geschichte 25, No. 11 (1893):183-184; Hugo Riemann, "Der Mensural-Codex des Magister Nikolaus Apel von Konigshofen," Kirchenmusikalisches Jahrbuch 22 (1897):5-6; Walter Niemann, "Studien zur deutschen Musikgeschichte des XV. Jahrhunderts," Kirchenmusikalisches Jahrbuch 27 (1902):l-8. 13. Hans Joachim Moser, "Leben und Lieder des Adam von Fulda," Jahrbuch der Staatlichen Akademie fur Kirchen-und Schulmusik Berlin 1 (1927-28):7-11. 9 Hofhaimer,14 brought together all the known information and documents concerning Adam's life. Gurlitt15 dealt with the confusion surrounding the Adams: Adam von Fulda, Adam Rener, Adam von Liittich (though the last two may be the same person), Adam Singer, and Adam componist (the last two names could refer to any of the previous three). Later articles by Gurlitt16 and Ehmann17 uncovered additional documentation concerning the musician's life, while a brief consideration is given by Riemann in his Handbuch.18 Further encyclopedia entries by Eitner, Riemann, Moser, Hiischen, Ehmann, Engel, and Niemoller summarized and occasionally added new information.19 The most complete work on Adam von Fulda, 14. Hans Joachim Moser, Paul Hofhaimer, 2nd ed. (Stuttgart: J. G. Cotta, 1929; reprint edition Hildesheim: Georg 01ms, 1966). 15. Willibald Gurlitt, "Ein Lutticher Beitrag zur Adam von Fulda-Frage," Report of the First Congress of the International Society for Music Research, Liege, 1930 (Burnham, Bucks.: Plainsong and Medieval Music Society, 1930), pp. 125-131. 16. Idem, "Johannes Walter und die Musik der Reformationszeit," Luther-Jahrbuch 15 (1933):7-11, passim. 17. Wilhelm Ehmann, "Das Schicksal der deutschen Reformationsmusik in der Geschichte der musikalischen Praxis und Forschung," Monatsschrift fur Gottesdienst und Kirchliche Kunst 40 (1935):58-62, passim. 18. Hugo Riemann, Handbuch der Musikgeschichte, 2 vols. (Leipzig: Breitkopf & Hartel, 1920), vol. 2, pt. 1, p. 280. 19. Robert Eitner, Biographisch-Bibliographisches Quellen-Lexikon, 10 vols. (Leipzig: Breitkopf & Hartel, 1900), 1:37; Hugo Riemann, Musiklexikon, 12th ed., edited by Wilibald Gurlitt, 3 vols. (Mainz: B. Schott's Sonne, 1959), 1:6; Hans Joachim Moser, Musik Lexikon, 4th ed., 2 vols. (Berlin: Max Hesse, 1955), 1:6; Heinrich Hiischen, "Adam von Fulda" in Die deutsche Literatur des Mittelalters. Verfasserlexikon, 2nd revised edition, edited by Kurt Ruh, 7 vols. (Berlin: Walter de Gruyter, 1978), 1:54-61; Die Musik in Geschichte und Gegenwart s.v. "Adam von Fulda," by Wilhelm Ehmann; Neue Deutsche 10 that by Ehmann,20 deals almost exclusively with his music; it mentions little about his life or treatise. Two recent German studies of related topics offer no new data.21 The Life of Adam von Fulda The established facts about Adam's life are remarkably few, almost forcing writers into the perils of conjecture. For instance, estimates about the year of his birth have ranged from 1440 to 146022 simply from his own statement in De Musica that he is a contemporary of Dufay and Busnois.23 Although the exact place of birth is unknown, it is probable that he was born in or near the North German city of Fulda, an important religious and educational centre since the eighth century. He refers to himself as "Adam de Fulda,"24 but this may merely indicate where he was educated. That Adam may also have taught there is suggested (perhaps Biographie s.v. "Adam von Fulda," by Hans Engel; New Grove Dictionary of Music and Musicians s.v. "Adam von Fulda," by Klaus Wolfgang Niemoller. 20. Wilhelm Ehmann, Adam von Fulda als Vertreter der ersten deutschen Komponistengeneration (Berlin: Junker & Dunnhaupt, 1936). 21. Walter Blankenburg, Johann Walter: Leben und Werk (Tutzing: Hans Schneider, 1991); Jiirgen Heidrich, Die deutschen Chorbiicher aus der Hofkapelle Friedrichs des Weisen: Bin Beitrag zur mitteldeutschen geistlichen Musikpraxis urn 1500 (Baden-Baden: Valentin Koerner, 1993). Heidrich provides more complete documentation of archival material than Moser, however. 22. For instance, Riemann gives c. 1440 and Mendel c. 1460 as possible birthdates. Gurlitt, Moser and Ehmann suggest c. 1445, Fetis and Reissmann c. 1450. 23. GS III, p. 341. 24. GS III, p. 329. 11 conjecturally) by Gerbert, who says his name was "celebrated by the people of Fulda."25 Glarean states that he is "Franci Germani", which is translated by Miller as "German French."26 It is more likely, however, that the "Franci" refers to the old German province of Franconia in which Fulda was situated. Adam was possibly educated as a Benedictine monk, since he spent some time in a monastery of that order, Wormbach, near Passau in southern Germany, while writing the treatise.27 It is also speculated that some of his education took place in Basel (and possibly some early professional positions as well), since he mentions the name of Andrechin, a musician from there, in the treatise.28 Moser finds no collaborative documentary support for any of these hypotheses in the archives of either Fulda or Basel.29 It may be that Adam spent part of his younger life in central Germany, since some of his music is included in the songbook of Arnt von Aich, published in Cologne in 1510.30 Other works are found in the Nikolaus Apel codex,31 compiled in Leipzig in 1504, which lends support to this. Moser32 25. "Celebratum etiamnum est apud Fuldenses Adami nomen," GS III, p. 329. 26. Miller, Dodecachordon, p. 253. 27. Stated by Adam in De musica, GS III, p. 330. 28. II/6/57. 29. Moser, "Leben und Lieder," p. 8. 30. More recent information suggests that the songbook was assembled in Augsburg; see New Grove Dictionary of Music and Musicians, s.v. "Arnt von Aich," by Marie Louise Gollner. 31. Leipzig Univ.-Bibl. cod. ms. mus. 1494 (LeipU 1494). Modern edition by Rudolf Gerber, Das Erbe deutscher Musik, vols. 32-33 (Kassel: Barenreiter, 1956). 32. Moser, "Leben und Lieder," p. 10. 12 refutes a traditional idea that Adam was a teacher of the younger theorists, Wollick and Glarean, which would also have implied a connection with Cologne. The first reliable information about Adam von Fulda comes from his treatise, De Musica, finished on 5 November 1490 (as stated by the author in the conclusion33) and dedicated to Joachim Luntaler. The Thuringian Luntaler (also called Tainhaimer) was an advocate of the Ecclesiastical Court (possibly at Passau in southern Germany) and a friend of Angelus Rumpler, Abbott of the Benedictine monastery at Wormbach, not far from Passau. Adam speaks highly of his dedicatee as a long-standing friend; indeed, Luntaler recommended him for his later position with Frederick the Wise of Saxony. The lengthy dedication34 provides some information about the writing of the treatise, although the language is occasionally ambiguous. Adam relates that his work had long been half-finished and often promised to Luntaler. He travelled from Passau to Wormbach in order to complete it. Possibly this sojourn was arranged by Luntaler through Abbott Rumpler. Two or three booklets of his work were stolen there and had to be recopied. Business from his princes prevented Adam from correcting his writing at the 33. GS III, p. 381. 34. GS III, pp. 329-331. 13 monastery, and he took his work to the court (unfortunately, he does not state which court, although it was probably the Saxon court in Torgau). He gives an amusing description of court life with its "envy, detractions, rivalries, insults, and almost infinite injuries, such that he who lives away from the tumult of the court can be called happy and be contented with his fortune."35 The cottage where he worked (perhaps at Wormbach) with many others "as ants crowded in an anthill" had such silence around it that "you think you hear the jays and crows in the dirt, or the frogs in the swamp."3 6 In the treatise Adam calls himself a "ducal musi-cian."37 Riemann speculates that he served the Bishop of Wurzburg, but also suggests the possibility of a connection with a Bavarian court because of the time spent in Passau and Wormbach.38 Adam may refer to his later position in Saxony, implying that the manuscript was actually finished there. Support for this possibility comes from Gurlitt's finding of a mention of him in Saxon records of March 1489 (before the completion of the treatise).39 Moser uncovered no archival documentation in Wurzburg or Wormbach.40 35. GS III, p. 330. 36. GS III, p. 330. 37. "Adam de Fulda Ducalis Musicus," GS III, p. 329. 38. Riemann, "Der Mensuralcodex," p. 5. 39. Gurlitt, "Ein Liitticher Beitrag," p. 126; as Gurlitt notes, however, this may refer to Adam Rener. 40. Moser, "Leben und Lieder," p. 8. 14 Niemoller implies that Adam was at the monastery at Wormbach for some time and left in 1490 because of his marriage.41 He travelled to Torgau to enter the service of Frederick the Wise of Saxony, with whose electoral court he probably remained for the rest of his life. Adam began there as a singer, became also a court historiographer in 1492, and was elevated to Kapellmeister by 1498. He matriculated at Frederick's new University of Wittenberg in 1502, where he probably taught music.42 Moser records that at a feast at Torgau in 1500, two masses were performed by the Kantorei under Adam von Fulda.43 At various times he had as colleagues at court Paul Hofhaimer and Heinrich Isaac.44 In 1503-04 Adam worked on a chronicle of Saxon history, now missing, which was later completed by Johannes Trithemius, Abbott of St. Jacob's in Wurzburg. A court document of 1503 records a special payment for the care of Adam while he was sick.45 Pietzsch notes that Adam was part of a circle of humanists involved in an exchange of "sharp epigrams" between Erasmus of Rotterdam and Edward Lee.46 41. New Grove Dictionary, s.v. "Adam von Fulda." This is probably speculation; the only documentary reference to Adam's wife is as a widow. See notes 40, 42. 42. For documentation, see Gurlitt, "Johannes Walter," pp. 10-11. Adam died before the famous reformer and lover of music, Martin Luther, came to Wittenberg in 1508. 43. Moser, Paul Hofhaimer, p. 16. 44. Both of these famous Renaissance musicians served at the court of Emperor Maximilian, with whom Frederick the Wise had a friendly relationship. 45. Moser, "Leben und Lieder," p. 10. 46. Gerhard Pietzsch, Zur Pflege der Musik an den deutschen Universitaten bis zur Mitte des 16. Jahrhunderts (Hildesheim: Georg 01ms, 1971), p. 155. 15 Most commentators put Adam's death (from the plague) in the year 1505. Ehmann supports this, reporting that his widow, soon after that date, bought a house in Wittenberg.47 Moser, however, disputes the date, placing Adam's demise after 1517, the momentous year of Martin Luther's posting of his 95 theses on the door of Wittenberg's Schlosskirche. Part of his reason is the publication in 1512 of the poem, Ein ser andechtig Christenlich Buchlein aus hailigen schriften und Lerern von Adam von Fulda in deutsch reymen gesetzt, which was illustrated with woodcuts by the renowned Lucas Cranach the Elder.48 Riemann ascribes the poem to the younger Adam Krafft von Fulda, but Moser refutes this. He also points to a 1517 mention of an "Adam componist" in court records.49 Gurlitt thinks this refers to Adam Rener (von Liittich) and supplies two documents which support the theory that Adam von Fulda died in 1505.50 Adam's treatise suggests some avenues for further searches for biographical documentation. Like writers before him, Adam relied especially on the work of Boethius. However, he also used extensively the ideas of John (Cotton) 47. Die Musik in Geschichte und Gegenwart, s.v. "Adam von Fulda." 48. Available in a facsimile edition (Berlin: Bruno Cassirer, 1914). 49. Moser, "Leben und Lieder," pp. 8-10. 50. Gurlitt, "Johannes Walter," p. 10. The documents comprise a letter to Trithemius requesting that he continue the Saxon chronicle begun by Adam but left unfinished by his death, and the reply of Trithemius, both from 1506. 16 Affligemensis, and mentions no theorist later than Jehan des Murs. This could give some clues to his place of education. Another writer whom Adam quotes extensively is Jean Gerson.51 This late-medieval Chancellor of Paris was not only an astute politician, dealing with the complex problems of the Schism at councils in Pisa and Constance, but he was also an influential thinker, preacher, and writer. Morrall states that "In the century after his death [1429] he is constantly quoted by the Conciliar rebels of the period of the Council of Basel."52 This could lend support to the idea of an association of Adam with the Swiss city. 51. For instance, in Chapter 2 of Book I, Adam quotes parts of Gerson's Carmen super Recogitatione Mortis, Carmen de Laude Musicae and Carmen de Laude Canendi. See Jean Gerson, Oeuvres Completes, ed. Mgr. Glorieux, vol. IV: L'Oeuvre Poetique (Tournai: Desclee & Co., 1962), pp. 10, 135, 162. See GS III, pp. 335-37, 339. 52. John B. Morrall, Gerson and the Great Schism (Manchester: Manchester University Press, 1960), p. ix. 17 Figure 1. Map of Northern Europe (including locations significant in Adam's life) Baltic North Sea Hamburg Elbe R. Berlin Wittenberg Torgau Leipzig » Altzelle Vienna Basel 18 Compositions of Adam von Fulda The music of Adam has been explored in various recent articles as well as in Ehmann's Adam von Fulda als Vertreter der ersten Deutschen Komponistengeneration.5-* The main sources for his works are the so-called "Nikolaus Apel Codex" at Leipzig University (LeipU 1494)54 and a manuscript at Berlin's Staatsbibliothek Preussischer Kulturbesitz (BerlS 40021). Adam's surviving pieces include a Missa (based on a secular tenor which has not been identified), a Magnificat Quinti Toni, seven hymns, two antiphons, one respond, and three four-voice secular songs. Some of his melodies (especially Ach hiilf mich leid) became popular with other composers as a basis for both liturgical compositions and instrumental works.55 53. The most complete edition of Adam's compositions is included in Niemann's article, "Studien." Ehmann supplies editions of some works in his monograph. Both of these authors comment extensively on the music. For further studies, see Eitner, "Das alte deutsche mehrstimmige Lied;" Fritz Feldmann, "Musiktheoretiker in eigenen kompositionen," Deutsches Jahrbuch der Musikwissenschaft I (1956):39-65; Moser, "Leben und Lieder;" Christoph Petzsch, "Glareans lateinische Textparodie zum 'Ach hulff mich leid' des Adam von Fulda," Die Musikforschung XI (1958):483-87; idem, "Die rhythmische Struktur der Liedtenores des Adam von Fulda," Archiv fur Musikwissenschaft XV (1958):143-50; Riemann, "Der Mensural-Codex." 54. Edited by Gerber; see n. 31 above. 55. Organ tablatures, for example; for a partial listing, see Eitner, "Das alte deutsche mehrstimmige Lied," p. 19. 19 The existing musical compositions of Adam are predominantly polyphonic in three or four voices (two exceptions are in five voices). Almost all are structured on a cantus firmus which most often occurs in the tenor part, but which may also appear in the superius, or may sometimes migrate. Imitation is present but is not pervasive. Imbedded canons are employed as structural devices in several instances. These qualities link Adam stylistically (as noted by several commentators) with the second generation of Netherlandish composers, which included Ockeghem and Busnoys. The latter he praises in his treatise along with Dufay.56 Ehmann places Adam in the first generation of German composers, along with Finck, Agricola and Stolzer, and thus considers him one of the founders of German music.57 56. GS III, p. 341. Ehmann devotes a chapter to the possible influence of Busnoys on Adam (pp. 145-157). 57. Ehmann, Adam von Fulda, p. 16. Ehmann considers the second generation to comprise Isaac, Hofhaimer and Senfl; see p. 18. 20 CHAPTER II THE MUSIC TREATISE OF ADAM VON FULDA Text Sources De Musica by Adam von Fulda seems to have survived for centuries as but a single manuscript. It was first catalogued in 1514 at the former Cistercian abbey of Altzelle (at Nossen, between Leipzig and Dresden), which was secularized in 1540. By about 1760 a manuscript of the treatise resided in the library of the University of Strasbourg, where it was destroyed in the fire of 1870. Since no other early copies have been located, it is fortunate that Martin Gerbert had already published it in his series of musical writings, Scriptores Ecclesiastici de Musica Sacra Potissimum. Gerbert included few editorial corrections or notes in the text. Generally, there has been little scholarly criticism of his printed edition, although Dommer comments on the "unreliable musical examples"1 and Serwer suggests that generally "the texts as rendered in his [Gerbert's] Scriptores are faulty by modern standards."2 Praetorius found Gerbert's edition so bad, especially the 1. "...leider mit unzuverlassigen Notenbeispielen," Dommer in Allgemeine deutsche Biographie, vol. 1, p. 44. 2. New Grove Dictionary of Music and Musicians, s.v. "Gerbert, Martin," by Howard Serwer. 21 examples, that he was unable to use it for his study.-5 It should also be noted that Gerbert himself admits to omitting examples from the manuscripts in his editions.4 An existing manuscript copy in Bologna (first noted by Eitner5) is listed in Gaspari's catalogue of the library of the Liceo Musicale6 as "Adami de Wulda Opusculum musicale", but with no identifying number.7 A lengthy correspondence between Martin Gerbert and Padre Giovanni Battista Martini from 1761 until at least 17848 reveals that both writers were embarking on written histories of music and wished to exchange information. A letter of Gerbert of 19 December 3. Ernst Praetorius, Die Mensuraltheorie des Franchinus Gafurius und der folgenden Zeit bis zur Mitte des 16. Jahrhunderts, vol. 2 of Publikation der Internationalen Musikgesellschaft (Leipzig: Breitkopf und Hartel, 1905; reprint ed., Wiesbaden: Dr. Martin Sandig, 1970), p. 2. 4. See, for example, GS III, p. 363, where he has eliminated some examples from Adam's Book III on mensuration. Gerbert's note on p. 364 says that some examples do not appear because they could "scarcely be expressed in print" ("typis exprimi haud possunt"). 5. Eitner, Quellen-Lexikon, vol. 1, p. 37. 6. Gaetano Gaspari, Catalogo della biblioteca del Liceo musicale di Bologna, vol. 1 (Bologna: Libreria Romagnolli dall'Acqua, 1890), p. 188. 7. In supplying a microfilm of the manuscript, the Civico Museo Bibliografico Musicale di Bologna listed it as MS A.43. The treatise is also catalogued with this number by Kristeller; see Iter Italicum (London: Warburg Institute, 1963), p. 29. 8. See Anne Schnoebelen, Padre Martini's Collection of Letters in the Civico Museo Bibliografico Musicale in Bologna: An Annotated Index, Vol. 2 of Annotated Reference Tools in Music Series (New York: Pendragon, 1979). The letters cited are on pages 276 and 683; other correspondence with Gerbert appears on pages 276-281. 22 1761 asks Martini for further information about a number of medieval authors (whom he later published), including a "Joannis de Fulda." A letter from Martini to Trombelli (undated) talks about the friendship with Gerbert and mentions "Gio di Fulda" among other names of writers. A further letter of Gerbert (30 October 1762) says "he is bringing some manuscripts of ancient church music to Bologna in order to exchange ideas with M. and talk at length face to face."9 Thus, it is possible that Gerbert brought with him the manuscript of Adam von Fulda, which was then copied for Martini in Bologna. The Bologna manuscript is written on paper in several different hands (Martini had notorious problems with his copyists). Prof. Giorgio Piombini, the librarian of the Civico Museo, confirms that the copying appears to have been arranged by Martini.10 The manuscript of Adam's treatise is bound with a number of other copied medieval works mentioned by Gerbert and Martini, some of which are in the hand of Martini himself (as noted by Gaspari11). The contents of the volume, as listed at its conclusion, are shown in Table 1. below. Adam's work in the Bologna manuscript occupies pages 231 to 318 of the bound set (the pages are also numbered starting from 1). A comparison with Gerbert's published 9. Schnoebelen, p. 276. 10. I wish to thank Prof. Giorgio Piombini, Civico Museo Bibliografico Musicale, Bologna, for kindly supplying this information to me. 11. See, for instance, Gaspari, pp. 183 and 190. 23 edition shows many differences, although most of them are of minor importance. Perhaps the most significant difference between the two sources becomes evident in comparing their charts and diagrams. Some sections which appear as charts in the hand-written copy are incorporated into the printed version of Gerbert as continuous text, perhaps as a convenience for the typesetter (also a possible reason for Gerbert's omission of some examples). Furthermore, some charts and diagrams either differ markedly or do not appear at all in Gerbert's text.12 For example, the Guidonian hand which appears in a roughly drawn sketch in the Bologna manuscript is omitted entirely in Gerbert's edition; instead, the reader is referred to another treatise in which the hand is rendered schematically.13 Less important differences between the two sources for the treatise include variants in spelling and punctuation, changes which do not alter the meaning of the text. The lack of division into paragraphs in the Bologna copy suggests that Gerbert's divisions were his own. Some corrections in the Bologna manuscript seem to have been made after consulting the (probably later) published work. Some marginal notes have been made in the Bologna version, usually in a different hand from that on the page itself. 12. The Bologna version of Books III and IV of the treatise has some short sections of text that are omitted by Gerbert as well. 13. II/1/100-103. 24 These consist mainly of proper names appearing in the text. Other differences will be noted in the following discussion of Book II of the treatise. The text used for the translation in Appendix B is Gerbert's; the Bologna manuscript has been useful, however, in illuminating some of the difficulties of the printed edition. 25 Table 1. Contents of Bologna Manuscript. Musica Bernonis ab. Augiensis—pag. 11 (GS II, pp. 62-91?) Ejusdem de Musica seu Tonis—pag. 31 Ejusdem aliud opus—pag. 59 Berno—De varia Psalmorum atque Cantuum modulatione—pag. 81 (GS II, pp. 91-114) Anonymi opusculum musicae ex Cod. MS S. Emmerami —pag. 119 Incipit tractatus de Musica—pag. 159 Tractatus musicae addendus op. Bernonis—pag. 167 Eberhardi Frysingens—Tractatulus de mensura fistularum—pag. 199 (GS II, pp. 279-82) Otkeri Ratisponensis monachi mensura quadripartite figure—pag. 205 e 215 (GS I, pp. 95-102?) Adam de Vulda—Opusculum music, ann. 1490—pag. 231 (GS III, pp. 329-81) Keck Joannis, Introductorium musicae (Floruit an. 1442) —pag. 319 (GS III, pp. 319-29) S. Odo II ab. cluniacensis—Musica (Floruit ab an. 927 ad 942) pag. 348 (GS I, pp. 252-64) Adelborti Musica (obiit ann. 1027)—pag. 387 (GS I, pp. 304-12) Theogeri Metensis Episcopi Musica (floruit an. 1118) —pag. 409 (GS II, pp. 183-96) Willhelmus abbas Hirsaugiensis, de musica et tonis (obiit an. 1091) pag. 429 (GS II, pp. 154-82) Guidonis Aretini, Musica—pag. 473. (GS II, pp. 2-24?) Ejusdem, versus ad mensuram Monochordi—pag. 574 (GS II, pp. 25-34?) Aribo Scholasticus—pag. 207 e 211. (GS II, pp. 197-230?) 26 Contents and Classification of Adam/s Treatise The contents of the music treatise of Adam von Fulda are summarized in Appendix A of this study. Generally, each of the four books deals with an important aspect of traditional music theory. Book I covers the origins and uses of music as described in both Classical and Biblical writings. Book II discusses aspects of pitch, mostly with respect to plainsong but also briefly relating to counterpoint. Book III treats the complexities of mensuration, and Book IV details the important mathematical proportions and their application to mensuration and intervals in music. This division into separate books marks an intermediate stage between one undivided treatise, typical of some of Adam's northern contemporaries (Person, Keck, Conrad), and entirely separate treatises for the various topics, such as with the fifteenth-century works of Tinctoris or Prosdocimo. Adam's topics and order of treatment are traditional, reflecting the late medieval curriculum in music as one of the seven liberal arts. The four books of Adam's treatise vary considerably in style. Book I is largely an historical exposition with some rhetorical flourishes and a large number of quotations from classical authors. On the other hand, Books III and IV concisely delineate complex technical matters, almost completely eschewing expressive writing or quotations. In 27 contrast to the other three books, the second is more eclectic in style, one might even say choppy and inconsistent. It mixes elements of the other books' styles with several extended sections of dramatic polemics.14 The variety of approach is paralleled in the different lengths of the chapters, from the 17 lines of Chapter 14 to 269 for Chapter 6. This diversity in the character of Adam's writing may reflect the problems that he experienced in putting his ideas to paper, problems vividly described in his introduction to the treatise. Gushee has eloquently discussed the problems of classifying medieval music treatises and of determining their audiences.15 The same problems apply to the late medieval tradition represented by Adam's treatise. The most common distinction is that between practical and speculative/theoretical works, a distinction found across most of the liberal arts in the Middle Ages. Adam's work reflects a mixture of these types, as did treatises of many 14. The polemics occupy almost all of Chapter 6, the longest of the book, as well substantial sections of Chapters 9, 10 and 12. This amounts to approximately 27% of the total number of lines. 15. Lawrence A. Gushee, "Questions of Genre in Medieval Treatises on Music," Gattungen der Musik in Einzeldarstellungen. Gedenkschrift Leo Schrade (Bern: Francke Verlag, 1973), pp. 365-433. See also Nan Cooke Carpenter, Music in the Medieval and Renaissance Universities (Norman, Oklahoma: University of Oklahoma Press, 1958), and Gerhardt Pietzsch, Die Klassifikation der Musik von Boethius bis Ugolino von Orvieto, Vol. 236 of Libelli (Halle a.d. Saale: Max Niemeyer, 1929; reprint ed., Darmstadt: Wissenschaftliche Buchgesellschaft, 1968). 28 of his contemporaries, with Books II and III leaning towards the practical, and Books I and IV being more theoretical. Another difference often expostulated is that between works following an earlier Carolingian tradition, written for monastic and cathedral schools, and those taking a more "scientific" approach initiated by the Scholastics for university use, inspired by the Aristotelian revival of the twelfth century.16 This trend reached its musical culmination in the rigorously logical and densely technical Speculum musicae of Jacques de Liege. Adam's treatise shows little of the scholastic discipline, and falls more into the earlier Carolingian practice. A further categorization has been made by some scholars which depends upon the assumed audience for the various treatises. The most detailed and intellectualized works would seem to be directed towards the students of the universities pursuing liberal arts studies, or may even be notes from their lectures. Simpler treatises might be intended for monastic schools;17 an example close to Adam's time is the 1442 Introductorium musicae by Johannes Keck, 16. Richard Wingell describes these traditions and fits the treatise of Anonymous XI into the earlier one. See his "Anonymous XI (CS III): an Edition, Translation and Commentary" (Ph.D. dissertation, University of Southern California, 1973), pp. 362-65. 17. For instance, Jill Palmer places the treatise of Anonymous XII in this tradition. See Tractatus et compendium cantus figurati. Corpus Scriptorum de Musica 35 (American Institute of Musicology, 1990), p. 18. 29 who several times addresses his "brothers" at the Benedictine abbey of Tegernsee.18 The most basic treatises were intended for entirely practical use for teaching boys in the church choir schools. Finally, a work could be intended for the use of, and commissioned by, a private patron. A number of the writings of Tinctoris fall into this category. We know from Adam's dedication that his treatise also was written for a patron, Luntaler. However, in its mixture of styles and approaches, De Musica reflects as well the other categories mentioned above. Books I and IV are complex and learned, clearly directed at the university student. Book III on rhythmic matters, while also complex, is intended more for the advanced musician wishing to understand the intricacies of mensural notation. The simpler thrust of Book II may reflect a monastic background, and it is certainly well informed by the experience of a practising performer. Recent comments on the contents of Adam's De Musica have been limited. Perhaps the fullest have been Riemann's,19 although Moser finds that Riemann's treatment is only partially convincing and goes astray in places.20 18. GS III, pp. 319-29. 19. Hugo Riemann, History of Music Theory Books I and II. Polyphonic Theory to the Sixteenth Century, trans, by Raymond H. Haggh (Lincoln, Nebraska: University of Nebraska Press, 1962), pp. 269-272, passim. 20. Moser, "Leben und Lieder," p. 7; Moser refers to the treatment in Riemann's Handbuch fur Musikwissenschaft. 30 Short discussions are provided by Apfel, Engel and Feldman.21 The monograph by Ehmann presents some consideration of Adam's theoretical ideas in relation to his music, but that study contains little detailed coverage of the treatise. Sources Influential for De Musica The most important sources for Adam's exposition of music theory were surprisingly old: sixth-century Boethius, eleventh-century Guido, and twelfth-century (?) Johannes Affligemensis. Wingell has suggested that, for the writers of the group of treatises attributed to Anonymous XI, these sources were transmitted through the Tractatus of Jerome of Moravia.22 This is probably not the case for Adam, however, since there are also borrowings which do not appear in Jerome. However, in Book II he does show particular affinity with Johannes, whose treatise he must have known well. In fact, Adam may have taken some of his quotations of earlier authors from Johannes rather than directly from the sources themselves. Adam's reliance on Johannes 21. Ernst Apfel, Diskant und Kontrapunkt in der Musiktheorie des 12. bis 15. Jahrhunderts (Wilhelmshaven: Heinrichshofen, 1982), pp. 112, 136; idem, Geschichte der Kompositionslehre von den Anfangen bis gegen 1700 (Wilhelmshaven: Heinrichshofen, 1981), pp. 236-237; Engel, Die deutsche Literatur, vol. 1, pp. 13-15; Fritz Feldmann, "Musiktheoretiker in eigenen kompositionen," Deutsches Jahrbuch der Musikwissenschaft 1 (1956):52-54. 22. See Wingell, Anonymous XI, p. 379. 31 Affligemensis and Boethius is clearly shown in the table of parallel passages given in Appendix D below. Of the 238 lines from Adam listed as borrowed, 109 are taken from Johannes Affligemensis and 106 from Boethius. The influence of Guido seems to have been transmitted through Johannes. For many of the borrowed passages, and direct quotations as well, Adam may have relied on his memory rather on available manuscripts, since the correspondences are not exact.23 There appears to be no influence on Adam's treatise from the prominent Italian works of the fifteenth century (especially those by Prosdocimo, Ugolino,24 Tinctoris or Gafurius). When Adam was writing, treatises still circulated mostly in severely limited numbers of manuscript copies. The first treatises published in Italy were probably the Theoricum opus armonice discipline by Gafurius (Naples, 1480) and the Musica practica of Ramos (Bologna, 1480).25 Printing was still an expensive process and only a limited number of copies could be made. Thus, it is 23. See the selected examples of parallel passages provided in Appendix D. These indicate that Adam was recalling key words rather than copying from the sources. 24. Schueller mentions Ugolino as a possible influence on Adam but does not substantiate his claim. See Herbert M. Schueller, The Idea of Music. An Introduction to Musical Aesthetics in Antiquity and the Middle Ages, (Kalamazoo, Michigan: Medieval Institute, Western Michigan University, 1988), p. 432. 25. See Otto Kinkeldey, "Music and Music Printing in Incunabula," in Papers of the Bibliographical Society of America 26 (1932):89-118. Kinkeldey places Conrad von Zabern's Opusculum de monochordo (Mainz, c.1462) as the earliest printed music treatise. doubtful that Adam would have seen these works, and he certainly gives no indication of familiarity with them in his treatise. That he may have heard some rumblings from the debate that erupted over Ramos's ideas is shown in his frequent defense of the traditionalist view that music is rooted in reason, not in the senses, a view that Ramos was challenging.26 In contrast to the lack of influence from contemporary Italian theorists, there are often resemblances in Adam's work to north European treatises of his time. Unfortunately, there has been little examination to date of many of these works (a number still lie unedited in manuscripts in European libraries and are difficult to view) and their interrelationships, in spite of the pronounced activity in music theory in the north in both the preceding and following centuries. In considering briefly the relationships of Adam's treatise with other northern fifteenth-century works, it is clear that, although a detailed examination of all four books of Adam would yield more fruit for comparison, we can already identify some of these influences. For example, some writers follow a common fourteenth-century practice of dealing largely with mensuration in one detailed treatise. These works include: 26. See Chapter III below for details of the debate which erupted after publication of the treatise of Ramos. 33 Thomas Walsingham, Regulae de musica mensurabili (CSM 31), c. 1400 Kellner Anonymous, Pra ficili informatione eorum, c. 1400 Anonymous V, Ars cantus mensurabilis mensurata (CS III), c. 1450 Christianus Sadze, Tractatus modi, temporis et prolationis (CS III), c. 1450 Breslau Anonymous, Quoniam circa artem musicalis (ed. Wolf, AMw I), c. 1450 Anonymous, Tractatus de musica figurata (CS IV), c. 1475 Melk Anonymous, Tractatulus de cantu mensurali (CSM 16), c. 149027 These treatises may well show new connections with Adam's Book III, which deals exclusively with rhythmic matters. Similarly, Adam's Book IV, dealing with proportions, may demonstrate some significant relationships with other treatises, although there are fewer northern fifteenth-century works that explore this speculative topic. Several fifteenth-century treatises cover matters quite distinct from any of Adam's, and thus cannot be shown to relate to his. Such works include: Egidius Carlerius, Tractatus de duplici ritu cantus, and Tractatus de laude et utilitate musicae, c. 1450 Paulus Paulirinus de Praga, Liber viginti artium, c. 1460 Jean Le Munerat, De moderatione et concordia grammatice et musice, 1490 A number of contemporary theorists cover some or all of the topics that Adam treats, in a roughly similar plan, but 27. Source information for these and following treatises may be found in the first section, Primary Sources, of the bibliography. 34 without showing much resemblance textually. Among these are: Anonymous, Libellus musicae (CSM 9) Anonymous XII, Compendium cantus figurati (CS III), c. 1471 Johannes Keck, Introductorium musicae (GS III), 1442 Conrad von Zabern, Novellus musicae artis tractatus, c. 1465, and Opusculum de monochordo, c. 1462. Finally, there is a small group of fifteenth-century northern treatises which have shown some distinct relationships with Adam's in both overall plan and specific phraseology. These may indicate either a direct influence on him, or derivation from common sources: Gobelinus Person, Tractatus musicae scientiae, 1417 Anonymous XI, Tractatus de musica plana et mensurabili (CS III), c. 1450 Amon's Anonymous, Tractatus de musica cum glossis, c. 1450 Bartha's Anonymous (Szalkai Manuscript), 1490 Further investigation of these works may yield fresh insights into Adam's life and work. Of course, there are many unedited treatises which may also reveal closeness to Adam's ideas. In particular, the Utilissime musicales regule of Guillaume Guerson, which ran to some eight editions (the first, Paris, c. 1495; the last, Paris, 1550), and a treatise in the manuscript Gent, Universiteitsbibliotheek 70(71) may be of much interest for comparison. Adam cites numerous writers in his treatise, reflecting the penetration of humanistic trends into the thinking of 35 intellectuals in Germany at the end of the fifteenth century.28 Most prominent of the Classical authors are Aristotle, Cicero, Horace, Ovid, Pythagoras and Virgil. Augustine, Jerome, and Gerson represent the medieval Christian authors, while Boethius, Guido, and Johannes (Cotton) Affligemensis are the most frequently cited musical commentators of the Middle Ages. Other medieval theorists mentioned are Macrobius, Cassiodorus, Isidor, Berno, Hermannus, Odo, Regino, and Jehan des Murs. The breadth of Adam's reading gives a fascinating indication of the scope of his educational background. However, the list of musical writers is equally interesting for its omissions, for, as Clement Miller suggests,29 many writers of Adam's time do not credit all their sources. It is possible as well that Adam obtained some of his citations from other authors rather than from the source, since he sometimes cites them incorrectly.30 While the number of references to other writers in Adam's treatise is impressive, it should be noted that often the quotations are sparked by a key-word in his 28. All proper names mentioned in De musica are indexed at the end of this study. 29. Clement A. Miller, Introduction to Johannes Cochlaeus Tetrachordum Musices (n.p.: American Institute of Musicology, 1970), p. 6. 30. A curious work which may illustrate the kind of source available to late medieval writers is the thirteenth-century (?) Polythecon. This seeming pastiche of quotations from a large number of classical and medieval authors duplicates two of Adam's quotations from Horace, and six from Ovid. Edited by A. P. Orban Corpus Christianorum Continuatio Medievalis XCIII (Turnholti: Brepols, 1990). An example of a wrong citation is that of Berno, probably borrowed directly from Affligemensis, 11/10/58. text and seem inserted more for effect than for relevance or enlightenment.31 Adam's treatise may remain within the late medieval tradition in spite of its humanist clothing. The Thesaurus Musicarum Latinarum Musicologists have recently been provided with a new research tool which has been an invaluable asset for work on this study. It is the Thesaurus Musicarum Latinarum, a database of music treatises in Latin, centred at Indiana University in Bloomington under the directorship of Thomas Mathiesen. The treatises in the database are available to scholars free through electronic mail and can be downloaded onto personal computers or manipulated through networks. Increasingly sophisticated search and comparison programs will allow complex operations to be performed which would have been impossible before now. By 1994, the complete Gerbert and Coussemaker editions (GS and CS) were on line, as well as all available CSM editions to that date. Many other works have been added as permission has been granted, and the project will continue with the goal of eventually making available every edited 31. A remark of Claude Palisca regarding Tinctoris shows a similar approach with Adam's contemporary theorist: "If he was fond of quoting the ancient Greek theorists and even Boethius, the citations were more rhetorical ornaments than underpinning for his theories.... Thus his citation of authorities is rendered pointless...." See New Grove Dictionary, s. v. "Theory, theorists." 37 version of a music treatise in Latin. In addition, unedited manuscripts have begun to be transcribed and entered into the database. The TML encompasses works from the fourth century to the seventeenth, and at this writing includes over four hundred treatises and more than three million words. The TML has been very useful for this study in determining some the the precedents to and influences on Adam in the writing of his treatise. As will be seen in the following commentary, Adam often seems to be the first author to use certain terms or phrases, and to quote certain authors' words. As the database becomes more complete, it should be possible to determine even more clear lines of tradition in music theory treatises. * * * The following commentary will discuss the contents of Book II of the music treatise of Adam von Fulda. Adam's proposal for the second book of his treatise is for a review of the principles of plainsong, based on the works of Boethius and Guide He names seven basic terms by which "the way to art is better made clear,"32 and those terms then serve as an outline for his book.33 After dealing with 32. GS III, p. 342. 33. A similar approach is used for Book III. 38 the first six, however, the author digresses, first into some polemics against contemporary musicians, and then into his ten rules of composition (Chapter 11). The final term (tonus) is dealt with in detailed fashion in the last five chapters. For this discussion, Adam's Book II will be divided into three sections:34 1. Basic Aspects of Pitch, covering the first five terms (Chapters 1-6 of Book II) 2. Intervals and Composition, covering the sixth term and the rules of composition (Chapters 7-12) 3. Mode, covering the seventh term (Chapters 13-17). 34. Please note that further detailed commentary appears as annotations and citations to the translation in Appendix B. 39 CHAPTER III ADAM ON BASIC ASPECTS OF PITCH: BOOK II, CHAPTERS 1 TO 6 The first six chapters of Book II of Adam's treatise define and discuss five terms that are basic to the under-standing of musical practice and notation of his time. These terms are manus, cantus, vox, clavis and mutatio. The treatment of the terms is reasonably concise, but there are several digressions, the long polemic in Chapter 6 being particularly notable. Adam's discussion of these terms tends to be brief, even superficial, and lacking in examples, although the charts supplied enhance the exposition and provide valuable additional information to the reader. Adam's treatment in this section thus recalls the training manuals for singers of the time rather than the more complex speculative works for university study. Perhaps this section then can be seen as an important precursor of the many primers published for apprentice choristers in sixteenth-century Germany. Like the other three books of his treatise, Adam's Book II begins with a Prologue.1 (Book I is preceded by a 1. Adam's prologues are rather unusual in their number and lengths. Johannes Affligemensis, for example, has only two paragraphs of prologue following his dedicatory letter. In it he criticizes singers of his day in a style similar to that of Adam's later polemics. Guido includes only a dedication. Adam's contemporary, 40 Dedication and Incipit as well.) The prologues all tend to be lengthy and expressive. That of Book I introduces the first of many of Adam's criticisms of modern musicians, the third enlarges on the invention and uses of music already treated in Book I, and the fourth prologue outlines the mathematical bases of music, along with yet another urging of the primacy of reason over the senses. In the prologue to Book II, Adam first justifies his use of older writers, both poets and philosophers, as sources. He then discusses some precepts of good teaching: the need to show the value of the topic, the usefulness of giving examples, and the necessity of following true authorities (all of which Adam does in his treatise). This topic gives him the opportunity to mention or quote several classical authors, including Cicero, Varro (actually an anonymous Pseudo-Varro), Isocrates, Ovid, and Seneca. Adam narrows his focus to the teaching of music, also citing here Guido, who advocates learning more from the senses than from masters. This seems a curious contradiction to Adam's continual urging to trust authorities and his constant promotion of reason over sensory experience. The importance of brevity and suitability in the training of an expert is stated. Adam returns to this theme several times in the treatise. Indeed, his presentation of Conrad von Zabern has no separate prologue; indeed, his treatise is not even divided into sections or chapters. 41 musical materials is concise; however, he tends to negate his objective of brevity with the long sections of polemic in Book II. He ends the Prologue by stating his intention to "stick close to the rudiments of Boethius and Guido," preferring to imitate their "learned negligence...rather than the useless diligence of others."2 Manus: The Hand and Gamut (Chapter 1) Chapter l begins directly with Adam's list of the seven basic terms that he will treat in Book II. They are manus, cantus, vox, clavis, mutatio, modus and tonus. (A similar scheme is used in the organization of Book III on mensural music.) Since most of these terms are ambiguous or have a multiplicity of possible meanings, Adam often mentions other interpretations of them, both ancient and contemporary.3 What cannot always be ascertained, however, is the source or sources from which Adam obtained these particular meanings. 2. GS III, p. 342. A comment of Palisca'a is noteworthy here: "Before [the late Renaissance translations], much of Boethius was an embarrassment to music theorists, because they could not understand large parts of it, and many parts they could understand disagreed with what they believed." See his "Boethius in the Renaissance" in Music Theory and Its Sources: Antiquity and the Middle Ages , ed. by Andre Barbera as Vol. l of Notre Dame Conferences in Medieval Studies (Notre Dame, Indiana: University of Notre Dame Press, 1990), p. 280. 3. Margaret Bent has discussed the subtle problem of the meanings of medieval musical terms. See "Diatonic Ficta," Early Music History 4 (1984), p. 1. In many of his footnotes in his translation of Boethius, Bower provides illuminating treatment of Latin terminology. 42 Often, as will be noted below, similarities (usually uncited) to earlier treatises or to those of some of Adam's contemporaries in Germany are evident. While the remainder of Chapter 1 is ostensibly about the Guidonian hand, in fact it soon becomes a rather diffuse discussion of the gamut. The hand itself is given only a rather odd definition at the very end of the chapter (see below). A diagram of the hand was included in the original manuscript but Gerbert in his edition chose to refer the reader to an earlier version in his publication of the treatise of Elias Salomonis;4 the Bologna copy has a rough sketch only (Appendix C, No. 1), though it contains some information not included by Gerbert. Above the hand is written Ee la extra Manum ponitur, meaning that the top note of the gamut, ee la, is placed outside the hand. Berger explains that this, in fact, was because that note appeared on the reverse of the hand, behind the note dd lasol on the top of the middle finger.5 There is also a sentence written across the bottom of the hand. It is difficult to read in the script of the Bologna copy, but fortunately the statement shows up also in an anonymous treatise published 4. GS III, pp. 16-64; the diagram appears on p. 22 and is reproduced in Appendix C, No. 2. 5. Karol Berger, Musica Ficta. Theories of Accidental Inflections in Vocal Polyphony from Marchetto da Padova to Gioseffo Zarlino (Cambridge: Cambridge University Press, 1987), pp. 8-10. Berger gives a very clear general introduction to the topics discussed by Adam in this section of Book II. 43 by Coussemaker6 and in a close copy of it in a manuscript edited by Bartha.7 It appears to be a traditional verse or epigram associated with the hand. The Latin reads Disce manum tantum qui vis, discere cantum absque manu frustra disces per plurima lustra. with the word "bene" added above the first line in a different hand, probably a later correction. It may be translated "Learn the hand well if you wish to learn song, for without the hand you will learn in vain for many years."8 After the brief introduction of the topic of Guido and the hand, Adam proceeds to discuss the gradual enlargement of the gamut over the centuries. He begins with the traditional fifteen-note range, A to aa, without mentioning Boethius as the source.9 He then covers Guido's expansion 6. Anonymous XI, CS III, p. 417. 7. Denes von Bartha, Das Musiklehrbuch einer ungarischen Klosterschule in der Handschrift von Fiirstprimas Szalkai (1490) (Budapest: Az Orsz. Szechenyi Konyvtar Kiadasa, 1934), p. 69 and facs. III. Bartha's text is slightly different for the first line: "Disce manum tantum, bene si vis scire cantum," and the poem con-tinues for several more lines. The verse also appears in the as yet unedited Utilissime musicales by Guillaume Guerson (c. 1495). 8. This verse may also form an interesting connection between Adam's treatise and a group of fifteenth-century manuscripts from Germany discussed by Bartha. At least one of these, Munich Bayerische Staatsbibliothek Clm 4387 (the only one available for examination), has the verse with a sketch of the hand. See Bartha, "Studien zum musikalischen Schrifttum des 15. Jahrhunderts," Archiv fur Musikforschung I (1936), pp. 59-82, 176-99. 9. Adam returns to this topic in Chapter 9 and gives due credit to Boethius there. 44 of the range downwards by one note to r and upwards by four notes; he ends, however, with a different gamut (twenty notes, r to ee, considering b and #, bb and ## as one note) from Guido's (twenty-one notes, r to dd, including # and ## separately). Finally, Adam mentions further expansions by "more modern music teachers" of three more notes above and three (really two, since one is, in fact, r) below, creating a gamut of about 3 1/2 octaves. This he credits to Guillaume Dufay, "quite unjustifiably" according to Fallows.10 The reasons given for Dufay's extensions are measured music (perhaps requiring wider ranges) and the transpositions necessary for instrumental performance and 10. David Fallows, Dufay (London: J. M. Dent and Sons, 1982), p. 83. J. F. R. and C. Stainer in Dufay and His Contemporaries (London: Novello, 1898), p. 6-7, discuss this and give examples of a high F and low F (both outside the Guidonian gamut) in the works of Dufay. Arnold Schering, Studien zur Musikgeschichte der Friihrenaissance (Leipzig: C. F. Kahnt, 1914), p. 144, provides the example of a low E in the Busnois work, In hydraulis. This may be found in the modern edition by Richard Taruskin, Antoine Busnoys Collected Works, Part 2, Masters and Monuments of the Renaissance, Vol. 5, edited by Leeman L. Perkins (New York: The Broude Trust, 1990), pp. 151-65; the low E occurs in measure 40. It should also be mentioned that Oliver Ellsworth finds evidence of the extension of the gamut to F below r in the Berkeley Manuscript of 1375. This would allow a hexachord giving a low B-flat, otherwise unavailable. See "The Origin of the Coniuncta: A Reappraisal," Journal of Music Theory 17 (1973):96; Oliver B. Ellsworth, The Berkeley Manuscript (A new critical text and translation on facing pages with an introduction, annotations and indices verborum and nominum et rerum), part of Greek and Latin Music Theory, ed. by Thomas J. Mathiesen and Jon Solomon (Lincoln, Nebraska: University of Nebraska Press), p. 53. 45 teaching (possibly of hexachord mutations). Adam returns to this concept in more detail in the final chapter of Book II. The reference to Guillaume Dufay is most intriguing. Adam's statement that Dufay's compositions gave a "great beginning"11 to the techniques of his contemporaries recalls a famous comment by Tinctoris in 1477: In addition, it is a matter of great surprise that there is no composition written over forty years ago which is thought by the learned as worthy of performance. At this very time, whether it be due to the virtue of some heavenly influence or to a zeal of constant application I do not know, there flourish, in addition to many singers who perform most beautifully, an infinite number of composers such as Johannes Okeghem, Johannes Regis, Anthonius Busnois, Firminus Caron and Guillermus Faugues, who glory that they had as teachers in this divine art Johannes Dunstable, Egidius Binchois and Guillermus Dufay.12 Thus, Adam seems to propose Dufay as a new authority and master and to accept the rules and limits set by the Burgundian. Adam then equivocates by saying that he will still accept the rules of antiquity as well as of the moderns, "although we are more adept at discrimination."13 This forms an interesting contradiction to his usual harping on the need to accept ancient authority and his denigration of many current musical practices and practitioners. The contradiction recurs throughout the treatise14 and reveals 11. II/1/42-43. 12. The Art of Counterpoint, translated by Albert Seay, Musicological Studies and Documents, No. 5 (Rome: American Institute of Musicology, 1961), pp. 14-15. 13. II/1/56-57. 14. See especially II/8/51-57, another passage mentioning Dufay, which is discussed below in Chapter IV. 46 that the practical and creative sides of Adam von Fulda were often at war with the academic and theoretical. This tension may reveal the onset of Humanist concepts in this late-medieval theorist. Adam treats the monochord briefly—more briefly than most theorists—mentioning controversies over various divisions but crediting that of Boethius as the most imitated. Rather than present a detailed division himself, he simply refers the reader to the treatise of Johannes Affligemensis.15 The chapter ends with a short and somewhat puzzling description of the hand as a monochord or instrument.16 This may simply indicate the generalized meaning that the hand held by this time. Berger mentions that common synonyms of manus were scala and gamma, showing that "the hand is the direct ancestor of such modern theoretical concepts as the gamut or scale."17 Adam's definition is amplified, however, by the above-mentioned 15. GS II, pp. 230-265; the discussion of the monochord appears on p. 236; see also Affl., pp. 63-64; Babb, p. 109. 16. A somewhat similar definition is found in the 1274 treatise of Elias Salomonis: "Palma est clavis, figura, sive instrumentum continens omnimodam notitiam artis musicae;" see GS III, p. 23. Bartha, p. 70-71, and Anonymous XI, CS III, p. 417, give "manus est organum distinctis clavibus et vocibus registratum." 17. Berger, Musica Ficta, p. 3. The author also mentions the relationship of the hand with the system of classical rhetoric and cites his article, "The Hand and the Art of Memory," Musica Disciplina XXXV (1981): 87-120. Bent draws some interesting parallels between the hand and the cyclical church calendar. See "Diatonic Ficta," p. 9. 47 diagram (Appendix C, no. 1). It is interesting that the hand is said to apply to singers, implying that the foregoing discussion of the monochord related more to the use of instruments. Berger has noted a seeming shift in the conception of the gamut in the fifteenth century from a basis in the hand to one in terms of the monochord or organ.18 Cantus: the Hexachord (Chapter 2) Chapter 2 of Adam's Book II discusses the concept of cantus. The author gives first a generalized definition re-lated to the root meaning of "song" and mentions a Greek example (ode) and a contemporary use (praise). A brief di-gression talks about the inappropriateness of using the word cantus applied to musical sounds produced by instruments. This may reflect the three types of musician derived from Boethius, discussed by Adam in Chapter 6 of Book II, or perhaps his somewhat derogatory attitude towards instrumental players. Adam then gets to the crux of the matter—the more specific use of cantus to mean "hexachord." He does not supply a definition, but his discussion makes this intended meaning clear. In fact, it is not certain when this particular use of the word became current. Neither of Adam's two main sources, Guido or Johannes Affligemensis, touches upon the concept. Jerome of Moravia, 18. See, for example, Berger, Musica Ficta, p. 33. 48 writing almost two centuries after Johannes, uses the word in the sense of "hexachord" but also does not supply a definition.19 Palisca cites Engelbert of Admont as one of the first to discuss the hexachord system, but this early fourteenth-century theorist does not use cantus in that context.20 Another early writer on the hand, Elias Salomonis, is cited by Ellsworth,21 but, like Engelbert, Elias does not use the word to refer to hexachords. A concise definition, penned by a contemporary of Adam, is provided by Conrad von Zabern: "Cantus is the modulation of the voice proportional to six notes."22 After the introduction to cantus, Adam presents his classifications. He divides the matter "generally" into the three types of the ancients, that is, natural, hard and soft. Adam also "specifically" divides the gamut into the seven hexachords present in the hand without naming them. 19. Hieronymus de Moravia O.P., Tractatus de musica, ed. Simon M. Cserba, O.P. (Regensburg: Friedrich Pustet, 1935), p. 49. Jerome wrote his treatise between 1272 and 1304. 20. Babb, p. 49, note 3. Engelbert lived c. 1250-1331. See GS II, pp. 287-369 for his treatise. 21. The Berkeley Manuscript, p. 33. Ellsworth provides an extensive note on the Guidonian hand and its treatment by theorists. See also Ellsworth's "Origin of the Coniuncta." Berger, p. 5, and n. 16, p. 191, also cites Jerome, Elias and Engelbert as among the first to describe the "fully mature system." 22. "Cantus est modulatio vocis sex notis proportionata;" treatise dated c. 1460. See Karl-Werner Giimpel, Die Musiktraktate Conrads von Zabern, Vol. 4 of Akademie der Wissenschaften und der Literatur: Ahhandlungen der Geistes- und Sozialwissenschaftlichen Klasse 1956 (Mainz: Verlag der Akademie der Wissenschaften und der Literatur, and Wiesbaden: Franz Steiner, 1956), p. 188. 49 This distinction of general and specific classifications is frequent in treatises of the time, but some theorists give names to the two divisions. Most commonly, proprietas refers to the general types, while deductio is used for the seven specific occurrences. For example, the anonymous Quatuor Principalia,2^ Libellus musicae2^ and Berkeley manuscript25 all utilize both terms. Tinctoris26 provides definitions for both. Jacques de Liege, in his vast and comprehensive Speculum Musicae of c. 1325, equates proprietas or modus cantandi with differentia.27 This topic is discussed by Conrad but no terms are given to the two classifications by him.28 After Adam's classifications of hexachords, a rather puzzling concept is presented which has not been noted in earlier treatises. It is stated that some theorists relate pairs of syllables to the three hexachord types: ut and fa to the soft hexachord, re and sol to the natural, and mi and 23. Quatuor principalia musices, CS IV, p. 222; c. 1350. Attributed (probably incorrectly) by Coussemaker to Tunstede. 24. Anonymous ex codice Vaticano lat. 5129, ed. Albert Seay, CSM 9 (Rome: American Institute of Musicology, 1964), p. 24. Seay gives a date of c. 1400 for the treatise. 25. Ellsworth, p. 38-39. The manuscript also uses the unusual term simplicitas for deductio. See Ellsworth's extensive notes, pp. 39 and 45. 26. Johannes Tinctoris, A Dictionary of Musical Terms, trans. Carl Parrish (London: Free Press, 1963); repr. ed., (New York: Da Capo Press, 1978), pp. 18-19, 50-51; c. 1472. 27. CSM 3, V. VI, pp. 175-176. 28. Gumpel, pp. 190-91. 50 la to the hard. The correspondences between the syllables might be understood in the identity of the surrounding intervals. Mi and la, for instance, both have a tone below and a semitone above, while re and sol have a tone above and below.29 The case of ut and fa is problematic, although in some places on the scala ut has a semitone below, as fa always would. Other slightly later treatises which express a similar idea include Michael Keinspeck's Lilium Musicae Planae of 1496, the Leipzig Anonymous Introductorium Musicae of c. 1500, and Wollick's Opus Aureum of 1501 and Enchiridion musices of 1509.30 None of these works explains 29. This correspondence brings to mind the concept of "affinities," which, however, is expressed in terms of pitches rather than syllables. A complete and detailed discussion is found in Dolores Pesce, The Affinities and Medieval Transposition, part of Music: Scholarship and Performance, ed. by Thomas Binkley (Bloomington, Indiana: Indiana University Press, 1987). 30. Winfried Ammel, Michael Keinspeck und sein Musiktraktat "Lilium Musicae Planae" Basel 1496 (Marburg: Gorich & Weierhauser, 1970), p. 116; Leipzig Anonymous, Introductorium Musicae, edited by Hugo Riemann, Monatshefte fur Musikgeschichte 11-12 (1897):150; Klaus-Wolfgang Niemoller, Die Musica gregoriana des Nicolaus Wollick (Opus aureum, Cologne, 1501, Pars I and II), Vol. 11 of Beitrage zur rheinischen Musikgeschichte, ed. by Arbeitsgemeinschaft fur Rheinische Musikgeschichte (Cologne: Im Staufen Verlag, 1955), p. 19; and Enchiridion musices (Paris, 1512; facsimile edition, Geneva: Minkoff, 1972), f. a.viii v. The similarity with Keinspeck7s treatise may support the hypothesis of a connection of Adam with Basel. Conrad von Lorenz taught there during the 1460-70 decade and may have passed on precepts to both men. Two later treatises which may have been influenced by Adam's teaching also touch on the concept: Nikolaus Listenius, Musica, ab authore denuo recognita, Norimbergae 1549, facsimile ed. by Georg Schunemann, No. 8 of Veroffentlichungen der Musik-bibliothek Paul how the pairs of syllables characterize the three types of hexachord, however. Riemann attempts to clarify this puzzle but his exposition is confusing.31 Citing also Glareanus, he states that all songs must end in ut, re, or mi, and that this shows the composition closing in major, minor, or Phrygian respectively. This seems rather far removed from Adam's proposition, and uses ideas anachronistic to it. Further, the Glareanus passage mentioned by Riemann does not refer to the pairs of syllables or to hexachords. Another section of the Glareanus treatise sheds some light on the matter, although the later theorist also admits some puzzlement. He says: ...tones similar by nature are placed in the same key, as our musicians say, among whom it is generally acknowledged that there is a natural resemblance of each fourth tone in this way: ut with fa, re with sol, mi with la, although I think that the reason for this division was that there would also be a semitone at the third position, between mi and fa, in accordance with the form of the diatonic species, which subject we shall discuss afterwards. For I do not know according to which writer it is taught that ut fa are soft, re sol are natural, and mi la are hard tones, unless we prefer to observe the practical usage rather than the theory.... Yet perhaps our musicians have taken these Hirsch (Berlin: Verlag von Martin Breslauer, 1927); and Georg Rhau, Enchiridion utriusque musicae practicae (musica plana), facsimile edition (Kassel: Barenreiter, 1951). Rhau's treatment is discussed briefly by Carl Parrish; see "A Renaissance Music Manual for Choirboys" in Aspects of Medieval and Renaissance Music. A Birthday Offering to Gustave Reese, edited by Jan LaRue (New York: Pendragon Press, 1966), pp. 657-58. Parrish relates Rhau's verse to a statement in the Quatuor principalia musices, CS IV, p. 225. 31. Riemann, Handbuch, pp. 36-37; Riemann, History, pp. 334-35. Riemann's ideas show some intriguing similarities with concepts developed by Crocker in "Hermann's Major Sixth," Journal of the American Musicological Society 25 (1972):19-37. things from the nature of the modes. For in the Lydian mode, soft, as it seemed to some, and in the softer Ionian mode, ut fa dominate in the upper fourth; and in the Dorian mode, grave and serious, re sol dominate, and in the Phrygian mode, religious and severe, mi la dominate.32 A further explanation is offered by Glarean which is "given better to beginners. Among these six tones, three are lower, ut, re, mi. Also three are above, fa, sol, la. And in the ascent, the lower are taken, but in the descent the upper are taken." Adam summarizes his information in a chart at the end of Chapter 2 (Appendix C, nos. 3 and 4) . 3 3 He gives characteristics of the three general and seven specific types of hexachord, including beginning and ending syllables, and restates the idea of paired syllables discussed above. It is noteworthy that the Bologna version of another chart, the one at the end of Chapter 4 (Appendix C, nos. 7 and 8), showing the gamut and the seven hexachords, contains the words Reformationes and Proprietates, which do not appear on Gerbert's printed version. Unfortunately, it is not clear exactly to what the terms refer on the chart, although it appears that the former term refers to the seven specific types of hexachord. A somewhat similar chart in the anonymous Tractatus de Musica Figurata et de 32. Glareanus, Dodecachordon, p. 42. 33. The hand-written Bologna version shows no difference from Gerbert's chart. 53 Contrapuncto^^ (probably second half of fifteenth century) makes the meanings of the two terms clear: Reformationes refers to the specific types, and Proprietates to the general. The chapter on cantus is completed with a short and general history of singing in the church. Most of the passage, which mentions Ignatius, Ambrose and Gregory, seems to be derived directly from Johannes Affligemensis,35 and shows similarities to part of the earlier Musica disciplina by Aurelian.36 Vox: Syllable (Chapter 31 Adam's Chapter III discusses another term with a multiplicity of possible meanings—vox. The author first provides a detailed and colourful description of the physical process of singing in order to define the term in a general sense.37 This is "sound of voice" but there are 34. CS IV, p. 434. 35. Affl., p. 115; Babb, p. 136. These figures are treated in richer detail in Book I of the treatise; see GS III, p. 339. 36. See GS I, p. 59-61. This resemblance is noted in Repertoire International des Sources Musicales, B/III, vol. 1, edited by Joseph Smits van Waesberghe (Miinchen-Duisberg: G. Henle, 1961), p. 89, which also mentions a similarity to Paris BN lat. 776, containing fragments of Aurelian. 37. This description is somewhat similar to others given by Burtius and Marchetto. See Nicolaus Burtius, Musices Opusculum, translated by Clement A. Miller, Musicological Studies and Documents 37 (Neuhausen-Stuttgart: Hanssler-Verlag, 1983), pp.36, 40, and Jan 54 also the possibilities of "sound and voice" and "sound not of voice." An alternate terminology for this threefold classification of sounds is given: harmonica (from the singing voice), organica (from blowing on an instrument), rhythmica (from striking strings). This classification ultimately derives from Isidore38 but is quoted by other theorists.39 Adam also makes a division of sounds into "discrete" (consonant) and "indiscrete" (dissonant) types, a division which differs somewhat from Johannes's use of the words to imply separate (that is, having musical intervals) and continuous (non-musical) sounds.40 The mention of consonance leads to a definition of symphonia which, although originally deriving from Cassiodorus,41 is closer to Isidore's:42 "Symphonia is the right proportion of modulation by concordant sounds." Babb notes that this term is the standard one for the consonances (diatessaron or perfect fourth, diapente or perfect fifth, W. Herlinger, The Lucidarium of Marchetto of Padua. A Critical Edition, Translation and Commentary (Chicago: University of Chicago Press, 1985), pp. 90-91. Burtius cites Albertus Magnus, De anima, Book 2, which may be Adam's source as well. 38. GS I, p. 21. 39. For example, Pseudo-Odo, GS I, p. 284; Expositiones in Micrologum Guidonis Aretini, ed. J. Smits van Waesberghe (Amsterdam: North Holland, 1957), p. 69. 40. Affl., pp. 57-58; Babb, p. 107. This distinction may derive from Boethius; see Boeth., p.199; Bower, p. 20. 41. GS I, p. 16. 42. GS I, p. 21; II/3/27-29. Along with consonantia, this is one of the more ambiguous terms used by medieval theorists. The history of their various meanings has not yet been explored. and diapason or octave) up to Guido's time*43 Hucbald44 used consonantia for a harmonic interval and intervallum or spatia for a melodic one. In contrast, Guido uses the term symphonia specifically for the simultaneous intervals of organum, and consonantia for the melodic intervals of chant.45 Adam implies here that he uses symphonia to refer to melodic intervals in "song guided through mutations."46 He returns to the subjects of intervals in Chapter 7 and of symphonia in Chapter 10. These topics will be discussed further in Chapter IV below. Only at the end of Chapter 3 does Adam present the specific sense of vox that he uses most frequently, that is, in reference to the six solmization syllables. (The word is sometimes translated as "vocable" for this sense.) Johannes47 and the author of Summa Musicae48 use the word syllabas, while Elias Salomonis49 writes puncti. Jerome of Moravia50 and Jacques de Liege51 turn to vox. Conrad52 and Person53 also use this last term in treatises 43. Babb, p. 63, note 1. 44. GS I, p. 107; c. 900. 45. Guido, p. 105. 46. II/3/36-37. 47. Affl., p. 49. 48. Attributed by Gerbert to Jehan des Murs; GS III, p. 203. 49. GS III, p. 19. 50. Cserba, p. 49. 51. CSM 3, V. 6, p. 165. 52. Giimpel, p. 188. The treatise is dated c. 1460-70. 53. H. Miiller, "Der Tractatus musicae Scientiae des Gobelinus Person (1358-1421)," Kirchenmusikalisches Jahrbuch XX (1907):182. The treatise is dated 1417. 56 chronologically closer to Adam's. Chapter 3 ends with mention of the derivation of the syllables from the hymn of St. John the Baptist, Ut queant laxis, with no credit given to Guido as the originator, but acknowledging Johannes as the source for this information. CI avis: Pitch (Chapter 41 Another ambiguous term is clavis, discussed by Adam in a short Chapter 4. This word, which can also mean "clef" or "key", is used by Adam in the sense of a specific pitch identified by both letter and solmization syllables. Adam is unusual in employing this meaning, following only Jerome of Moravia54 and Jacques de Liege.55 Most theorists use clavis either to refer to the seven letters designating pitch classes, or to mean "clef". Adam mentions the idea of clef as a specific "locating" of notes but without applying a term to the concept. He includes the three common clefs (C, F and G) on his chart (Appendix C, nos. 7 and 8). The various definitions and uses of clavis are treated fairly exhaustively in Eggebrecht's useful lexicon,56 which gives a number of citations of the term's use. 54. Cserba, pp. 47-48. 55. CSM 3, V. 6, p. 29. 56. Fritz Reckow, "Clavis" in Handworterbuch der musikalischen Terminologie, ed. by H. H. Eggebrecht (Wiesbaden: Fritz Steiner, 1971). 57 Chapter 4 ends with the naming of the species or types of clavis, a grouping into divisions by pitch level: r.ut. to D.sol.re. are Graves, D.sol.re. to G.sol.re.ut. are Finales (that is, the finals of the modes), a.la.mi.re.to <3i.la.sol.re. are Acutae, d.la.sol.re. to g.sol.re.ut. are Excellentes, and aa.la.mi.re. to ee.la. are Superexcellentes. The system is illustrated by a chart (Appendix C, nos. 7 and 8). Adam's classification, while loosely based on the traditional early medieval tetrachord system derived by Boethius from the Greek gamut and revised by Guido and Johannes, seems to be unique. Most later theorists, such as Jerome57 and Conrad,58 follow Johannes's plan.59 Adam's classification differs from that of Johannes both in the naming of the top two groups (Superexcellentes and Excellentes as opposed to Excellentes and Superacutae), and also in the groupings of the notes. Both theorists show that the idea of the four-note tetrachord had disappeared, since they include groups of five notes as well.60 The chart at the end of the chapter is of the scala type, so-called because of its resemblance to a ladder or 57. Cserba, p. 56. 58. Gumpel, p. 197. 59. Johannes's understanding of Guido's system is somewhat confused. See Palisca's introduction in Babb, p. 96-98; he supplies a useful chart on p. 98 which shows the various changes to the tetrachord system up to the time of Johannes. 60. See also Jacques de Liege, CSM 3, Vol. VI, p. 175, where similar names are used for octave groupings. 58 stairs.1 In addition to the new terms noted above regarding hexachords, it also contains one of Adam's few references to musica ficta. In Book I of the treatise, Adam distinguishes "true regular music" from "false (ficta) regular music". The latter "is when the notes are transposed in note-names, since in all those in which fa is not placed locally, soft B can be placed; similarly in all notes in which fa is placed locally, hard B can be placed, by the constraints of mode and necessity."62 The column labelled Musica dicta ficta on Adam's chart shows the accidental signs that were allowed on each pitch. It supports the above statement and Berger's idea of an unusual fourteen-step octave with sharps allowed only on C and F.63 This idea seems somewhat at variance with Adam's later conservative approach to musica ficta in the composition rules of Chapter 11. 61. See Berger, pp. 3, 10. 62. GS III, p. 333. 63. Berger, pp. 48-49, treats this in some detail. He notes that the more common formulations were the traditional twelve-step one, which became standard about 1500, or the more progressive sixteen-note octave. The fourteen-steps are found in only one other source, the Berkeley Manuscript. This source, however, has another section (Treatise 5) which advocates dividing the tone in three equal parts; this may be the first written example of a type of equal temperament. See Ellsworth, Berkeley Manuscript, pp. 240-47. For further on musica ficta, see also Margaret Bent, "Musica Recta and Musica Ficta," Musica Disciplina 26 (1972), pp. 73-100; Andrew Hughes, Manuscript Accidentals: Ficta in Focus 1350-1450. Musicological Studies and Documents No. 27 (n.p.:American Institute of Musicology, 1972). 59 Mutatio: Mutation (Chapters 5-61 Chapter 5 of Book II of the treatise deals with mutatio, a subject which ties together all the previous terms. Adam begins with a concise definition that is similar to earlier ones of Johannes de Garlandia,64 Lambertus,65 Jerome of Moravia,66 and Jacques de Liege,67 but is closest to Conrad's.68 Adam says simply that mutation "is the change of one syllable on the same pitch to another [syllable]."69 Unlike other theorists, he does not give several "reasons" for mutation,70 nor does he provide an exhaustive list of all possible mutations, as does Jerome.71 Adam does, however, name two types of mutation, using terms which seem to be unique to him: extrinseca and intrinseca.72 Berger mentions other terms that were used as well: explicita or vocalis for the first type, in which both syllables are sung on the pitch, and implicita or mental is, 64. De plana musica (c. 1240), CS I, p. 160. 65. (Pseudo-Aristoteles), Tractatus de musica (c. 1270), CS I, p. 256. 66. Cserba, p. 49. 67. CSM 3, V. 6, p. 179. 68. "Mutatio musica est unius musicae vocis pro alia in eadem clave et sub eodem sono datio vel variatio." See Giimpel, p. 199. Giimpel provides a detailed discussion of the word mutatio in music treatises of the time; see his Introduction, pp. 160-67. 69. II/5/1-3. 70. For example, Conrad (Giimpel, p. 199) or the Berkeley manuscript (Ellsworth, p. 49). 71. Cserba, pp. 49-55. 72. Unique to Adam for this particular subject as discovered by a search of the TML. The terms were earlier used in both Aristotelian philosophy and in mensuration treatises. 60 where only one syllable is pronounced, as might be necessary in the shorter notes of measured song.73 Adam does not make the more traditional distinction of "conjunction" (mutation on a common pivot point) and "disjunction" (change from one hexachord to another with no common tone).74 Adam also gives two requirements for mutation. The first, a common rule, is that a change of hexachord take place only when necessary. The second requirement poses some translation difficulties. The author uses the term coniuncta but probably in its earlier sense of "pivot point" rather than in the later, more complex one of a hexachord beginning on a pitch other than C, F or G. Adam also uses the Greek word synnemenon, which Johannes Afflighemensis translates as adiunctum, and which Babb puts into English as "connected."75 Synnemenon can also refer to the tetrachord in the Greek gamut added to allow the inclusion of the note b-flat, a concept transmitted by Boethius.76 Adam seems to use the word, in fact, to refer to the note itself or to the semitone interval. Thus, his second requirement for mutation may be understood as a warning to the singer to be attentive to the proper placement of the semitone, 73. Berger, p. 7 and n. 28, p. 193. Adam is the first author cited for making this distinction. Riemann also discusses these terms; see Handbuch, p. 36. 74. For further details on these concepts, see Ellsworth, Berkeley Manuscript, p. 49, note 11, and also Ellsworth, "Origins," p. 90-97. 75. Affl., p. 59; Babb, p. 107. 76. See, for example, Boeth., pp. 214-17, 312-18; Bower, pp. 41-45, 126-31. 61 especially when a hexachord occurs in other than the three usual situations (thus producing musica ficta). Adam returns to this practical concern several times, most notably in the composition rules of Chapter 11. A similar warning is sounded in a somewhat later treatise (1540), possibly influenced (at least indirectly) by Adam. Sebald Heyden, in his Chapter 4 on solmization, writes as a requirement: Second: they should carefully observe through b fa and # mi, as principal keys in all songs, the use and movement of vocables and tones of all other keys. For nobody can sing any song accurately and dependably unless first he has expressly considered b fa # mi and then decides where mi or fa should be applied. It is most important to know whether mi or fa is sung on b fa # mi, since either of them influences the special nature and quality of a melody.77 A short paragraph at the chapter's end anticipates some of the polemics to come and speaks curiously of the "childish" rules about mutation. Adam prefers to omit these and let the understanding of intervals suffice. Again, he seems to wish for simplicity and brevity rather than intellectual complexity in his discussion. The chart following Chapter 5 (Appendix C, nos. 10 and 11) succinctly summarizes material not discussed in the body of the chapter. It divides the eighteen pitches (the author omits b, #, bb and ##) into three groups, depending on the 77. Sebald Heyden, De arte canendi, trans, by Clement A. Miller, Musicological Studies and Documents 26 (n.p.: American Institute of Musicology, 1972), p. 36. 62 number of syllables, and thus the number of possible mutations, on each pitch. Adam thus avoids the long lists of possible mutations which often feature in other treatises and maintains his desired brevity thereby. Some Polemics (Chapter 6) With Chapter 6 of Adam's Book II, a distinct change is almost immediately evident, a change of style and also, to some extent, a change of sources. These differences may indicate that this section of the treatise was not written at the same time as the first five chapters.78 Other later sections of Book II show a similar stylistic disjunction. Chapter 6 commences with a statement which continues the subject of Chapter 5 and which more properly belongs there. It is the traditional rule that there can be no mutation between i» fa and # mi, since they are a semitone apart. Mention of the semitone leads Adam to a brief discussion of this interval and its name. It had been a continuing concern of theorists to prove that the whole tone could not be divided egually in half. This may be illustrated by the chapter heading of Boethius, Book III, Chapter 1: "Demonstration against Aristoxenus that a superparticular ratio cannot be divided into equal parts, 78. See Chapter I above regarding Adam's problems in writing his final copy of the treatise. 63 and for that reason neither can the tone."/y This problem forms one crux of the continuing debate on reason versus the senses, for while it intuitively seems possible that there is an exact halfway point between two notes a wholetone apart, it cannot be found mathematically. A tone is represented by the sesquioctave ratio, 9:8. Addition of intervals is the equivalent of multiplying their ratios. Thus, the ratio of the exact half of a tone must be one which, when multiplied by itself, results in 9:8. This is impossible, however, without the use of irrational numbers.80 Adam returns to this problem in Chapter 7 of Book IV. There he compares dividing the tone measuring the diagonal of a square in rational numbers, another mathematical impossibility.81 By touching on the idea of the division of the tone, Adam sets the stage for the following extended polemics. These polemics are not unusual for treatises of the time. Indeed, most of his concerns are traditional ones, and some 79. Bower, pp. 88-91. 80. Adam makes no reference to, and seems unaware of, the controversial division of the tone into five parts by Marchetto in his 1317-18 treatise. See Herlinger, Lucidarium, pp. 130-61. This doctrine was bitterly criticized by Prosdocimo one century later. See Prosdocimo de' Beldomandi, Brevis summula proportionem quantum ad musicam pertinet and Parvus tractatulus de modo monacordum dividend!. A new critical text and translation....by Jan Herlinger, part of Greek and Latin Music Theory, ed. by Thomas J. Mathiesen and Jon Solomon (Lincoln, Nebraska: University of Nebraska Press, 1987), pp. 119-22. 81. GS III, p. 375. 64 of his comments are taken directly from other authors. What is perhaps interesting about this chapter is its length and its relationship to events in the musical world contemporary to him. As mentioned, Adam starts with the subject of the division of the wholetone or the size of the semitone, a traditional concern of theorists. He uses this as founda-tion for a discussion of the importance of basing musical thought in reason. Several examples are given of shoddy contemporary practices by musicians unversed in this rational basis, such as ignorance of number and interval, and singing works in the wrong mode. Included here is Adam's contemptuous mention of the not-yet-identified Andrechinus of Basel,82 who "had learned this alone in his school of philosophy, to avoid the learned absolutely, lest his ignorance be revealed in disputation."83 Adam quotes in emphasis of his point a popular verse of Guido's which was found in many medieval treatises: From the musician to the singer how immense the distance is; The latter's voice, the former's mind will show what music's nature is; But he who does he knows not what, a beast by definition is.84 82. See Chapter I above regarding attempts to identify this figure. 83. II/6/68-73. 84. II/6/94-102. The musicus/cantor split as a running theme in medieval treatises is discussed in some detail by Gushee, "Questions of Genre." See also Christopher Page, "Musicus and Cantor," in Companion to Another running theme of the chapter is the necessity for musicians to rely on ancient authority as preserved in writing. As in the opening chapters of the book, Adam refers often to Guido of Arezzo and Johannes Affligemensis. However, in this section he also draws heavily on the music treatise of Boethius for the first time in Book II and invokes that theorist's name several times as an almost god-like figure. He mentions in particular Boethius's doctrine of the superiority of reason over performance of music, comparing it to the surpassing of the mind over the body. In yet another subtle dismissal of instrumentalists, Adam tells of their taking designations from the instruments, as if not worthy to be named "musicians." These two themes, the foundation of music in reason and the reliance on the ancients, were also part of a fiery debate that was raging in Italy just as Adam was penning his work.85 The debate began with the 1482 publication in Medieval and Renaissance Music, edited by Tess Knighton and David Fallows (London: J. M. Dent and Sons, Ltd., 1992), pp. 74-78. Gushee and Page provide a number of earlier references. 85. There is no full treatment of this debate. Some information is available in biographical sources on and treatises of the individual composers involved; see, for example, Miller's "Introduction" to Nicolaus Burtius, Musices Opusculum, pp. 10-20, and also his "Commentary" to Bartolomeo Ramis de Pareia, Musica Practica, Commentary and Translation by Clement A. Miller (Neuhausen-Stuttgart: Hanssler-Verlag, 1993), pp. 11-38. See also Claude V. Palisca, Humanism in Italian Renaissance Musical Thought (New Haven, Connecticut: Yale University Press, 1985), p. 222, 66 Bologna of the treatise of Bartolomeo Ramos, which dared to defy both the revered ancients and their pre-occupation with rational speculation, in favour of ideas based on human sensation. Rabid and often slanderous discussion ensued for many years, involving such prominent theorists as Gafurius, Hothby and Burtius on the traditionalist side, and Spataro, supporting the progressive ideas of Ramos. The issues of the debate included the elimination by Ramos of the hexachord system of Guido, and his move away from the ratios of Pythagorean tuning, which had been the staple of music theorists for almost two thousand years. Adam almost certainly was not aware of the Italian fireworks. There is no evidence that he ever visited Italy, and he never cites even the prominent pre-debate theorists there such as Tinctoris, Prosdocimo or Ugolino. Although the works of Ramos and Burtius had been published by the time of Adam's treatise, it is probable that the circulation was still limited and that he did not see them. Adam's writings do demonstrate, though, that the progressive ideas were in the air throughout Europe before the debate blazed forth in Italy. As might be expected, Adam takes a conservative viewpoint and rails against the more modern n. 100, and pp. 230-35; and Ann E. Moyer, Musica Scientia: Musical Scholarship in the Italian Renaissance (Ithaca, New York: Cornell University Press, 1992), pp. 37-104 and 113-125. For later aspects see A Correspondence of Renaissance Musicians, ed. Bonnie J. Blackburn, Edward E. Lowinsky, Clement A. Miller (Oxford: Clarendon Press, 1991). 67 tendencies to rely on sensory perception rather than on reason and ancient precedent (even though he betrays more progressive approaches in other parts of the treatise). A third theme of Adam's long "sermon" in Chapter 6 is the superiority of the musicus or speculative thinker. He relies directly on Boethius for his classification of three types of musician: the instrumental player, the singer/ composer, and finally the musicus, who judges the others and who, alone of the three, is based in reason: "this, then, since it is all placed in speculation and reason, will be considered music proper."86 Yet Adam pities the art "which, although it was most laboriously created by the ancient philosophers, worthy of all praise, in our age is ruined, torn and confused by the most debased apprentices."87 The final four paragraphs of the chapter are the most colourful. Adam first apologizes for his comments in case the reader thinks the author only criticizes to conceal his own ignorance. But he then continues to denigrate current musical practices vividly, invoking Boethius and Guido, while simultaneously begging their forgiveness. He quotes Johannes Affligemensis directly on the need for attention to one's master: "Even dumb animals and herds of beasts follow a leader, but our men attend to neither leader nor master, 86. II/6/161-65. See Boeth., p. 224; Bower, p. 51. 87. II/6/196-203. 68 knowing all for themselves: I should compare them to none better than to a drunken man, who does, indeed, make for home, but does not know by what path he should return."88 Adam finishes the chapter by again lamenting the mutilation of music by the unlearned. Whom exactly is Adam criticizing in his diatribes? It is difficult to know for certain. Clearly his experience with singers has led him to have some contempt for both poorly trained apprentices and incompetent adult performers (perhaps in monastic choirs). He also seems to hold instrumentalists in low esteem, perhaps for inept arrangements of vocal pieces, for poor musicianship in performance, or for inappropriate changes and embellishments to written works. His interesting comment that music had become a mechanical art rather than a liberal one implies a frustration with the lack of creativity in his contemporaries, a theme that returns in the treatise. Since Adam was a church man and the bulk of his own composing (at least what has come down to us) is sacred music, he may disdain secular composers and performers in general. It will be noted below that he complains in particular of the corruption of chant in the hands of badly schooled musicians. In true Boethian fashion, Adam places the musicus, the thinker and judge of music, above all others. He reserves his most virulent criticism for those who are 88. II/6/239-250. 69 ignorant of the masters, urging his readers, for example, to "Believe the authors, and give more faith to the learned and skilful than to the illiterate."89 89. GS III, p. 332. 70 CHAPTER IV ADAM ON INTERVALS AND COMPOSITION: DE MUSICA, BOOK II, CHAPTERS 7 TO 12 Adam of Fulda ostensibly continues his scheme of discussing basic musical terms regarding plainchant in the next major section of Book II, chapters 7 through 12. However, after dealing with only one term, modus, he digresses into further polemics and then treats a topic which had become frequent in contemporary treatises, but was unrelated to his main topic of plainchant—composition in counterpoint. This chapter of the commentary will therefore deal with interval (modus) and Adam's rules of composition. Modus: Interval (Chapters 7 to 9) After the polemics of Chapter 6, Chapter 7 of Book II returns to a more succinct style of writing to define modus, one of the most ambiguous terms that Adam discusses. Modus can have the general meaning of "manner", or, as here, it can mean a musical interval.1 Modus also refers to one of the three levels of mensural relationship (along with tempus 1. Modus was the most usual general term for "interval" in medieval treatises. Adam may be influenced particularly here by Johannes, who reserved the word intervallum for large intervals found infrequently in chant. See Babb, p. 112, n. 4. 71 and prolatio); Adam uses this sense in his Book III on rhythm. The term was used in the Ars Antiqua for the rhythmic modes,2 but that usage became obsolete with the new mensural complexities of the Ars Nova. Finally, modus sometimes implies a mode or octave species; Adam uses the term tonus for this concept, discussed in detail in Chapters 13 to 17 (see Chapter V, below, of this commentary).3 Much of Adam's material in Chapters 7 through 9 is derivative, being drawn especially from Boethius.4 This is something of a change from his reliance in the first section mainly on Guido and Johannes Affligemensis. Most of the material here is also treated by other medieval theorists, and Adam adds little that is new. 2. For example, the Ars cantus mensurabilis of Franco of Cologne and its many imitators; see Cserba, pp. 232-33. 3. Eggebrecht provides an extensive discussion of modus in its rhythmic sense, but only touches on other possible meanings. See Wolf Frobenius in Handworterbuch, s.v. "Modus". Harold Powers in his New Grove's Dictionary article "Mode" discusses the scalar sense in some detail. See below, Chapter V, for commentary on Adam's treatment of mode in its scalar meaning. Bower, p. 2, n. 3, mentions the various meanings for Boethius. 4. It is now accepted that the music treatise of Boethius is a translation from the Greek of Nichomachus and Ptolemy. The Nichomachus works are not extant; the Ptolemy source is the beginning of his Harmonica. For details of origins, see Bower, pp. XXIV-XXIX, and also Calvin M. Bower, "Boethius and Nichomachus: An Essay Concerning the Source of De institutione musica," Vivarium: An International Journal for the Philosophy and Intellectual Life of the Middle Ages and Renaissance 16 (1978):l-45. 72 Adam provides several definitions of modus, as if he were unsure of the meaning himself. The second is taken directly from Boethius ("Interval is the distance between high and low sound"5), and two of the definitions use the confusing terms intensio and remissio, which probably originally referred to the tightening and loosening of strings to change pitch.6 They are probably best translated as "raising" and "lowering" of pitch. It is noteworthy that Adam mentions the relationships of notes within the interval as part of its definition. After providing the definitions, Adam states that the number of intervals is twelve, although (he says) other writers posit only nine. Boethius had discussed five consonances (the octave, perfect fifth, perfect fourth, perfect twelfth and double octave7) as well as the tone and semitone.8 Guido enumerates six melodic intervals 5. See Boeth., p. 195; Bower, p. 16. 6. See Bower, p. 11, n. 46, for a discussion of the terms intensio and remissio in Boethius. 7. These five intervals form the group of Pythagorean consonances, those whose ratios can be formed from the first four integers. For further on the ideas of earlier medieval theorists about intervals, see Nancy Phillips, "Classical and Late Latin Sources for Ninth-Century Treatises on Music" in Music Theory and Its Sources: Antiquity and the Middle Ages, ed. Andre Barbera as Vol. 1 of Notre Dame Conferences in Medieval Studies (Notre Dame, Indiana: University of Notre Dame Press, 1990), p. 106. Phillips touches on the problem of the nature of the eleventh (compound perfect fourth) interval, discussed fully in Andre Barbera, "The Consonant Eleventh and the Expansion of the Musical Tetractys," Journal of Music Theory 28 (1984):191-223. 8. See Boeth., pp. 201-05; Bower, pp. 22-29. Boethius 73 (consonantiae)9—tone, semitone, major third, minor third, perfect fourth and perfect fifth—while Hucbald names nine, including those of Guido with the tritone, minor sixth and major sixth.10 Johannes also gives nine intervals, but replaces the tritone with the unison.11 He uses the word consonantia for the intervals of Guido but intervalla for the larger ones, since they are rarely used melodically. Jerome adds the octave to Johannes's collection, but later specifies thirteen intervals (all the intervals from the unison through the octave),12 as does Jacques de Liege.13 Adam justifies inclusion of intervals rare to Gregorian chant (minor and major sixths, minor seventh) because they occur often in measured song (one of several of his departures from his stated topic for Book II of musica plana). Two charts14 present further material on intervals (see Appendix C, nos. 13 and 14). The first, taken almost later in his treatise adds the eleventh as a consonance. This is probably the section translated from Ptolemy. See Boeth., p. 358-59; Bower, p. 169. For a full discussion of the eleventh, see Barbera. 9. See Guido, p. 103-06; Babb, p. 61. 10. See GS I, p. 106-07; Babb, p. 16. In his introduction to Babb's translation, Palisca discusses Hucbald's alterations of meaning of terms which he derived from Boethius, such as consonae; see Babb, p. 5. 11. See Affl., p. 67-71; Babb, p. 110-12. 12. See Cserba, pp. 58, 148. 13. See Jacobi Leodensis, Tres tractatuli de Musica, ed. by J. Smits van Waesberghe, Eddie Vetter & Erik Visser, Divitiae musicae artis A.IXa (Buren: Frits Knuf, 1988), pp. 21-22. 14. Note that these two charts appear as such only in Bol. In Gerbert they are compressed into text. 74 directly from Boethius,ib classifies different interval types. It seems to deal with harmonic (simultaneous) rather than melodic (successive) combinations, although Adam does not make this distinction clear. The classification, with its short descriptions, contains concise definitions of consonance and dissonance:16 "Consonances are those [notes] which produce a compound, indeed mixed, but sweet sound" and "Dissonances are those which do not mix together sounds, but strike the sense harshly." The second chart lists and defines the twelve intervals. It is interesting that Adam sometimes characterizes the intervals not only by the number of tones and semitones they contain (a traditional method) but also by the size of leap, related more directly to musical notation by reference to lines and spaces. While not listing them as legitimate intervals, he does mention the tritone and diminished fifth. The Bologna manuscript includes an additional chart at the end of Chapter 7 which does not appear in Gerbert's edition (see Appendix C, no. 15). This chart lists all the 15. See Boeth., p. 360-62; Bower, p. 170-71. Boethius in turn translates this material from Ptolemy. 16. II/7/47-51, 57-60. The term consonantia seems to have several meanings by Adam's time, and he does not always distinguish amongst them. As noted above (see Chapter III), in Guido's time it meant the melodic intervals used in chant. Adam uses the term also in the sense of sweet-sounding harmonic intervals. Barbera, "The Consonant Eleventh", p. 193, discusses Boethius's distinction of intervallum (melodic) and consonantia (harmonic). See also Jacques de Liege, Speculum Musicae, CSM 3, v. 6, p. 160. intervals in the octave, including the tritone and diminished fifth, and provides musical examples of each. Musical examples like this are, however, unusual for the treatise as a whole, and, with one exception, are unique for Book II. Chapter 8 is largely redundant, repeating matters covered in Chapter 1. This repetition may be a further indication of Adam's problems in writing the treatise, or a symptom of a cyclical approach to pedagogy characteristic of medieval teaching.17 The chapter begins with the mention of several words derived from Greek with somewhat unclear meanings: peribolo, periphonus and diaphonia. The first of these is part of medieval Latin terminology and means an enclosure or garden walkway. Adam seems to use it to make his metaphor of "walking about" the music more colourful. The other two occur again in Chapter 10, there in Greek script. The former word seems unique to Adam,18 but diaphonia had a long ancestry. Its meaning for Isidore was "dissonance".19 However, by the time of Guido, the term had 17. Mentioned, for instance, by Dolores Pesce, The Affinities, p. 6; and by Claude Palisca in his introduction to Babb's translation of Hucbald's treatise (see Babb, p. 5). Adam himself says in his Book III, "it is necessary to repeat quite often what the mind is always to retain." See GS III, p. 359. Page quotes Quintilian's Institutio oratoria: "We often speak twice on the same subject." See Summa musice, p. 34. 18. As indicated by a search of the TML. 19. GS I, p. 21. Tinctoris returns to this ancient meaning in his dictionary; see Tinctoris, Dictionary, p. 22-23. 76 come to signify two-part music, that is, organum.^u This meaning was retained by most later theorists.21 The two contexts for these words in his treatise indicate that Adam may use the terms to distinguish the two types of intervals: periphonus for melodic (successive) and diaphonia for harmonic (simultaneous). Adam includes here an interesting chronological view, placing Jehan des Murs (c.1300 - c.1359) before Guido (c.991 - c.1033), and Odo of Cluny (878/9 -942)22 after him. The topic of the expansion of the gamut, already covered in some detail in Chapter 1, returns here, and with it, another reference to the "venerable Guillaume Dufay." Adam again acknowledges the Burgundian composer as an important inventor whom most moderns imitate. He implies, however, that this imitation casts aside the reliance on older authority (in contrast to his comments in Chapter 1). This leads to a short discourse on the value of balancing knowledge and performance of music, for "art without practice is worth little, and practice without art nothing."23 As before, contradictions in Adam's thoughts between the authority of the masters and the importance of practical experience become evident. 20. Guido, pp. 196-208; Babb, pp. 77-82. 21. Johannes Affligemensis, for example; see Affl., pp. 157-62, Babb, pp. 159-61. 22. See Appendix B, n. 63 regarding the confusion over this figure. 23. II/8/66-68. 77 In the final sentences of the chapter, Adam attempts to justify by reason the addition of notes to the traditional gamut. He recalls that music, as part of the quadrivium, delights in mathematical proportions, which can extend infinitely. The latter theme seems to be a traditional one. For example, Crocker cites several early sources touching on this.24 John of Garlandia (c. 1240) says "It should be known that the above-mentioned concords can be taken to infinity."25 The thirteenth-century Compendium Discantus, sometimes attributed to Franco of Cologne, states with regard to this tradition: And note that when you wish to ascend above the diapason, you will imagine yourself to be in unison with the tenor, and you will discant in the same way you would over the tenor in the lower register, because there is really no difference except that you are higher in pitch. Such elevation [of the discant] can be repeated indefinitely (multiplex est in infinitum).26 Adam's meaning seems simply to be that, just as there are an infinite number of mathematical ratios, so also are there infinitely many intervals. They can be derived by adding the known consonances to successive multiples of octaves, and thus, expansion of the gamut is justified by reason and authority. However, in a final quixotic turn, he then states that "experience, who is the mistress of things, 24. See Richard L. Crocker, "Discant, Counterpoint, and Harmony" in Journal of the American Musicological Society 15 (1962):8. 25. Cserba, p. 208. "Sciendum, quod supradictae concordantiae possunt sumi in infinitum." 26. Crocker, p. 8; CS I, p. 156. 78 teaches this,"27 again reminding the reader of his ever-present conflict between authority and practice. The discursive style is continued in Chapter 9, which begins with some rather meandering remarks against composers who move beyond the standard practice. Adam continues a theme of earlier writers who often complained of the corruption of chant. Guido, for instance, says: False notes also creep in through inaccuracy in singing; sometimes performers deviate from well-tuned notes, lowering or raising them slightly, as is done by untrue human voices. Also, by ascending or descending more than is right for the prescribed interval, we pervert a neume of a certain mode into another mode or we begin at a place [in the scale] which does not admit [that] note.28 The tone of Adam's colourful critique is perhaps closer to that of Johannes, who devotes a full chapter to "How the ignorance of fools often corrupts the chant." His chapter begins: We are not sure whether the fact that these and other such chants cannot be sung in the range proper [to their modes] results from the fault of the singers or whether they were thus issued by their composers in the first place. On the other hand, we do know most assuredly that a chant is oftentimes distorted by the ignorance of men, so that we could now enumerate many corrupted ones. These were really not produced by the composers originally in the way that they are now sung in churches, but wrong pitches, by men who followed the promptings of their own minds, have distorted what was composed correctly and perpetuated what was distorted in an incorrigible tradition, so that by now the worst usage is clung to as authentic.29 27. II/8/84-86. Adam uses the expression again in Book IV; see GS III, p. 373. 28. Guido, p. 134; Babb, p. 66. 29. Affl., p. 104; Babb, pp. 129-30. 79 Adam implies that contemporary composers had felt the restrictions of rules of chant and had begun to use "non-musical notes and terminations" of others.30 He may refer here to ornamental elaborations to the chant, regional variations in far-flung monastic or parish churches, or ingrained errors from inexperienced choirs. That the church is still today worried about such deviations in the chant is evident in the introduction to the Liber Usualis: Certainly in the course of time the Gregorian Chant incurred no small loss of purity. This was chiefly because the special rules of the Chant, as traditionally received from the Fathers, were either negligently overlooked or allowed to be altogether forgotten. Hence arose an evident decline in the spirit which is spoken of as "liturgical", and the "spirit of prayer", while at the same time the beauty and grace of the sacred melodies, if they did not wholly disappear, were certainly affected for the worse.31 Adam goes on to castigate those who fear to learn in old age, possibly referring to conservative academic colleagues (like Andrechinus of Basel, mentioned in his Chapter 6) or perhaps to older members of monastic choirs. The subject allows him to show his classical knowledge with some anecdotes about ancient Greeks, possibly drawn from Latin sources. While at least some of these stories are probably apocryphal (the tale of Homer's suicide, for instance), they are vivid and make Adam's point: "there is greater embarrassment in being ignorant when old, than in 30. II/9/14-15. 31. Edited by the Benedictines of Solesmes (Tournai: Desclee, 1962), p. ix. 80 studying in old age."-3"1 He finishes this polemic with a recommendation once again to follow the rational bases of the authorities of music theory rather than the debased practices of those performers not grounded in principles. The last part of Chapter 9 returns to more concrete musical matters. Adam presents the legendary development of the early gamut, basing his account on that of Boethius, which probably was translated from Nicomachus.33 He then takes up the later gamut again, once more noting Guido's extensions, and finally supplying his own Greek names for those notes added to the original fifteen (see Table 2.). The derivation of the names from the Greek tetrachord system is evident. Adam's additions are explained by him as deriving from the positions of the new notes. Origneboleon is "sounding above the last" and Orexion means "newest." In the lower range Hyponomenon signifies "low sound" and Hyperexiapathon "lowest" or "last". The new tetrachord added above the Boethian gamut, diahyperboleon, is "above the highest" (Superexcellentes in Latin). Adam's new Greek terms seem to have been disregarded by later theorists, and they never reappear. 32. Socrates; see II/9/37-45. Adam also broaches the topic in his Prologue to Book II; see II/Prol/80-84. 33. See Boeth., pp. 205-09; Bower, pp. 29-35. The Nicomachus source is no longer extant. 81 The information, including Adam's new terminology, is summarized in a complex chart, somewhat different in shape but not in content in the Gerbert and Bologna versions (see Appendix C, nos. 16 and 17). The chart also shows interval relationships between some of the notes and gives Latin equivalents to the Greek note names. Adam's names for the five tetrachords are superexcellentes, excellentes, acutes, medii, and principals J* The chart gives a much clearer sense of the whole gamut and seems to contradict Adam's text. In particular, the text calls the hyperboleothesi range "all higher positions of the superexcellentes" while the chart appears to relate this range to the excellentes. In addition, the text implies that even higher notes are possible, since origneoboleones is plural. 34. Boethius gives somewhat different Latin equivalents for the note names; see Bower pp. 31-39, 122-26. See above, pp. 35-36 for further on Adam's division of the gamut. 82 Table 2. Adam's Additions to the Traditional Gamut Upper range, ff ee names original to Adam: Origneboleon. Orexion. Guido's additions: dd. Epinete diahyperboleon. cc. Epiparanete diahyperboleon. bb. Epitrite diahyperboleon. Boethian gamut:35 aa. Nete hyperboleon g. Paranete hyperboleon f. Trite hyperboleon e. Nete diezeugmenon d. Paranete diezeugmenon c. Trite diezeugmenon b. Paramese a. Mese G. Lichanos meson F. Parhypate meson E. Hypate meson D. Lichanos hypaton C. Parhypate hypaton #. Hypate hypaton A. Proslambanomenos Lower range, names original to Adam: r. Hyponomenon. (addition of Guido) F. Hyperexiapathon. 35. The gamut of Boethius is much more complex than Adam's simplified chart indicates. It includes not only an extra tetrachord, the synnemenon, to account for the note b-flat, but also diatonic, chromatic, and enharmonic versions of each tetrachord. See Boeth., pp. 205-18, Bower, pp. 29-46. 83 Consonance (Chapter 10) Having fully discussed the idea of musical interval, Adam now lays the groundwork for his rules of composition by presenting more material on consonance. He had briefly defined symphonia in Chapter 3 (based on Isidore36) as the right proportion of modulation by concordant sounds.37 He had mentioned it again in Chapter 8 but in the sense of a melodic interval. Consonantia is, of course, the direct Latin equivalent of symphonia, as first formulated by Boethius.38 Adam had also given brief definitions of consonance and dissonance in Chapter 7, where it seems clear that he refers to harmonic intervals. Chapter 10 begins with the recurrence of two unusual Greek terms, discussed above, this time written in actual Greek script. Adam then presents the traditional division of consonances into perfect (perfect fifth and octave with their compounds) and imperfect (thirds and sixths with their compounds).39 Again he is clearly speaking of harmonic intervals in preparation for his rules, which largely deal 36. GS I, p. 21. 37. II/3/27-29. 38. For the definition of Boethius, see Boeth., p. 198; Bower, p. 19. Johannes gives two reasons for the possible use of the term, one that the consonances sound together more often in singing, the other that they are related among themselves by simple ratios. See Affl., p. 67-68, Babb, p. 110-11. 39. For background on classifications of consonances and dissonances, see Crocker, "Discant", pp. 1-21. 84 with counterpoint (in spite of the fact that Book II is supposedly about musica plana). Adam is less traditional with respect to the perfect fourth, however. That interval had been a continually vexing problem for theorists, since it was represented by a simple ratio (4:3, making it one of the Pythagorean consonances), and yet had a harsh sound in polyphony. Crocker mentions that the thirteenth century still accepted the fourth as a consonance in discant, but the fourteenth rejected this classification,40 and most fifteenth-century theorists continued to find it dissonant. Tinctoris is ambivalent about the quality of the perfect fourth. In his dictionary, he considers it a perfect consonance.41 His detailed treatment of the interval in the Liber de arte contrapucti, however, classifies it as the "first of all concords" for "our ancestors" but an "intolerable discord" which is "rejected by counterpoint".42 40. Crocker, pp. 5-6. Crocker's chart on p. 7 shows the fourth as a consonance c. 1300 but considered a dissonance by 1336 in Wolf's Compendium. 41. See Tinctoris, Dictionary, pp. 22-23. 42. See The Art of Counterpoint, trans, by Albert Seay, Musicological Studies and Documents 5 (American Institute of Musicology, 1961), p. 29; CSM 22, V. II, p. 26. That the perfect fourth continued to be a problem was evident from the paper of Thomas Christensen, "Sensus and Ratio in Eighteenth-century German Music Theory: Mattheson's Critique of Mathematics in Music," delivered at the 1993 meeting of the American Musicological Society in Montreal. Referring to Mattheson's Das Forschende Orchester of 1721, Christensen described the author's more than 300 pages devoted to proof of the dissonant nature of the fourth as a great example of "musical historical 85 Adam had earlier classified the fourth as a consonance in a section derived from Boethius43 where the reference seems to be to harmonic intervals. In Chapter 10, however, he rather skirts the issue by calling the interval a "semi-dissonance," a unigue term.44 He implies (citing Jehan des Murs in an unidentified reference) that a fourth is dissonant by itself but can be made consonant by a preceding perfect interval. This rather mysterious claim is somewhat cleared up by his unusual reference to the contemporary technigue of fauxbourdon.45 His statement that a fourth "does not make a consonance by itself, but in relation to others" seems to mean, then, that when combined with other consonances such as thirds or fifths in a chordal grouping (as in fauxbourdon), the fourth can be more consonant.46 He suggests, however, that the term arises from the bad sound it makes. Adam returns to the subjects of fauxbourdon and treatment of the fourth in his composition rules in Chapter 11. overkill." 43. II/7/47-51. 44. As revealed by a search of the TML. 45. See Heinrich Besseler, Bourdon und Fauxbourdon (Leipzig: Breitkopf & Hartel, 1950; 2nd ed. revised by Peter Gulke, Leipzig: Breitkopf & Hartel, 1974); M. F. Bukofzer, "Fauxbourdon Revisited" in Musical Quarterly 38 (1952):22-47; Ernest Lorenz Trumble, Fauxbourdon; An Historical Survey (Brooklyn: Institute of Medieval Music, 1959). Both Besseler (pp. 50-52) and Trumble (p. 21) cite Adam. 46. Corroborated by his ninth rule of composition in Chapter 11. See below. 86 The final three paragraphs of Chapter 10 become more generalized as Adam justifies his presentation of some rules of composition by, once again, criticizing current musical practices: We discern from all sides music corrupted by those composing it: which happens, then, since the worst practice of instrumentalists became ingrained; when they know scarcely two rules, oh woe! they wish to compose songs; and would that it were only songs, but they also take up some grand things in performance. Some others, scarcely knowing the shapes of the notes, or somewhat adept in the art, amend all song, tear, damage and adulterate the correct composition.'*7 This vivid sentence is guoted by Riemann, who thinks that the complaint applies particularly to arrangers of music for organ or lute.48 It is clear again how much Adam disdains instrumentalists (he once more departs from his topic of musica plana), and he also here disparages the over-embellishment of music in performance, the same adding of improvised ornament that he had seen as one of the causes of the corruption of chant. Rules of Composition: Background Chapter 11 forms the most unusual, and possibly the most important, section of Book II; indeed, perhaps it is the most interesting part of the whole treatise of Adam von Fulda. The rules, dealing predominantly with counterpoint, depart from his stated topic of Book II, musica plana, and 47. 11/10/76-93. 48. Riemann, History, p. 270. 87 from the rest of its contents. The rules are also rather unique in comparison to those of earlier traditional treatises and of some important contemporary compilations concerning teaching of composition. Fairly extensive investigation has been undertaken recently into the development of ideas about counterpoint in late medieval theory. Klaus-Jiirgen Sachs and Ernst Apfel in particular have looked at the subject in some detail.49 Perhaps because Adam's treatise comes late in the tradition, or because he does not use the terms discantus and contrapunctus, both authors have covered him only in summary fashion. A somewhat more thorough consideration of Adam's rules is presented by Riemann, although his general discussion of the topic is dated and lacks some sources. Riemann (English version by Haggh) provides translations of Adam's rules which are somewhat free and also rather incomplete. The rules are "sketchy" in Riemann's opinion.50 49. Ernst Apfel, Diskant und Kontrapunkt in der Musiktheorie des 12. bis 15. Jahrhunderts (Wilhelmshaven: Heinrichshofen, 1982); Klaus-Jiirgen Sachs, Der Contrapunctus im 14. und 15. Jahrhundert. Beihefte zum Archiv fur Musikwissenschaft Vol. XIII (Wiesbaden: Franz Steiner, 1974). In his Geschichte der Kompositionslehre von den Anfangen bis gegen 1700. 3 vols., Vol. 75-77 of Taschenbiicher zur Musikwissenschaft (Wilhelmshaven: Heinrichshofen, 1981), 1:236-37, Apfel presents a summary of Adam's rules but adds little information to Riemann. 50. Riemann, History, pp. 270-72. 88 By the fifteenth century, contrapuntal techniques were considered an important enough topic to be dealt with in separate treatises. This is the case with two of the most important works of the century on this subject, Prosdocimo's Contrapunctus of 1412 (CS III, pp. 193-99) and the Liber de arte contrapuncti of 1477 by Tinctoris (CSM 22, II, pp. 5-157). Other fifteenth-century theorists before Adam to devote significant attention to counterpoint, but within a more generalized treatise, include Gallicus, Ugolino, Burtius, and Guilielmus Monachus. Since all these treatises were probably written in Italy, it is likely that Adam did not know them. His rules resemble theirs only in the most general respects. Prosdocimo's six rules are called by Herlinger a "model of concision"; he considers that they exemplify some of "the most common precepts of fourteenth and fifteenth century music theory."51 Herlinger summarizes them as follows: 1. Only concords are to be used 2. A counterpoint must begin and end with a perfect concord 3. Parallel perfect concords are prohibited 4. Imperfect concords are not to be used continually without the occasional insertion of perfect ones 5. In fifths, octaves, and the like, mi should never be placed against fa 51. Prosdocimus de Beldemandis, Contrapunctus; a new critical text and translation ...by Jan Herlinger, part of Greek and Latin Music Theory, ed. by Thomas J. Mathiesen and Jon Solomon (Lincoln, Nebraska: University of Nebraska Press, 1984), pp. 7-8. 89 6. Parallel imperfect concords are allowed, provided perfect ones are occasionally inserted.5^ Thus, here, as in most earlier counterpoint or discant treatises, the concern is with the allowable harmonic intervals, and with how those intervals should succeed one another. De preceptis artis musicae, the treatise of Guilielmus Monachus,53 has received some attention because of its discussion of fauxbourdon. The lack of clarity in the language has given rise to some confusion and controversy. This remains one of the century's more significant treatments of counterpoint, however. Apart from a number of specific rules and examples for three- and four-voiced improvised counterpoint, Guilielmus provides ten generalized requirements similar to those above of Prosdocimo.54 In addition to those provisions, Guilielmus includes two rules about melodic movement, one stating a preference for stepwise motion, the other urging avoidance of repetition of short melodic motives. He allows mi contra fa for imperfect consonances and says that dissonant intervals can serve well when properly resolved (he gives some examples of this). Guilielmus also mentions twice that the penultimate interval must be an imperfect consonance resolving to the perfect final one. 52. Herlinger, p. 8. 53. c. 1480. CSM 11; CS III, pp. 273-307. 54. See CSM 11, pp. 34-35. The rules are translated in Riemann, History, pp. 251-53. 90 By far the most important treatise on counterpoint is the extensive work of Tinctoris.55 This oltramontano living and working in Italy provides a detailed consideration of traditional aspects of the matter but goes far beyond in his delineation of dissonance treatment, including in it perhaps the first discussion of the suspension. His counterpoint treatise is divided into three books. The first two cover treatment in polyphony of all the possible harmonic concords and discords. The third and shortest gives eight more general rules of counterpoint which fall into the traditional categories found in many older treatises, including those of Prosdocimo and Guilielmus mentioned above. Tinctoris is also one of the first theorists to distinguish between improvised (super librum) and composed counterpoint (res facta), a distinction which, as Reaney says, "is not great in the late fifteenth century."56 Northern theorists of the fifteenth century seem less eager to discuss the rules of counterpoint, although fourteenth-century French treatises often did so. The only writers contemporary with Adam to mention the subject are Anonymous XI and XII of Coussemaker's volume III,57 an 55. Johannes Tinctoris, Liber de arte contrapuncti, CS IV, pp. 76-153. The Art of Counterpoint, translated by Albert Seay, Musicological Studies and Documents, No. 5 (Rome: American Institute of Musicology, 1961). 56. Gilbert Reaney, "Introduction," Johannes Hothby De arte contrapuncti, CSM 26, p. 11. 57. Pages 416-75 and 475-96 respectively. 91 anonymous Tractatus de Musica Figurata,^® and the Utilissime musicales of Guillaume Guerson.59 Anonymous XI gives some twenty-four detailed rules dealing exclusively with treatment of harmonic intervals and melodic movement of the voices in three-part polyphony. The rules of Anonymous XII are very concise. Again they concern intervals (including the fourth as both an imperfect and a prohibited interval) and their successions. The Tractatus has seventeen rules which also touch on mensuration and clefs; a number of specific provisions and examples are included. Finally, Guerson provides five traditional rules about intervals in counterpoint and also five more dealing in detail with the sixth. He restricts his discussion to improvised, two-part polyphony. Johannes Keck in his Introductorium Musicae of 1442 actively rejects counterpoint as "not part of the current speculation" since it makes men of the church "seem not so much to make music as to groan."60 Thus the very willingness of Adam to present rules for composition seems to mark a turning point in the attitudes of northern theorists. 58. CS IV, pp. 434-69. 59. Unavailable in edition or translation, although it ran through at least eight editions. See Ernest T. Ferand, "Guillaume Guerson's Rules of Improvised Counterpoint (c. 1500)" in Miscelanea en homenaje a Monsenor Higinio Angles (Barcelona: Consejo Superior de Investigaciones Cientificas, 1958-61), pp. 253-63. 60. GS III, p. 327. "...discantus, non est praesentis speculationis....ut non tam musicae guam gemitum facere videantur." 92 Adam's Rules of Composition (Chapters 11 and 121 In spite of Riemann's characterization of Adam's ten rules of composition as "sketchy", they might also be seen as broader than the traditional ones, and indeed as related more to aesthetic approaches to general composition than to specific techniques of counterpoint. Adam treats a number of basic aspects of musical composition, and in so doing points to some important topics of his treatise (mensuration and proportions, for example). The rules seem to be drawn as much from his practical experience as a composer and performer as from the traditional strictures for discant and counterpoint. He reveals his more general aesthetic approach and his liberal arts background in the comparisons to prose writing. Parallels between grammar and music, and indeed the derivation of concepts and terminology of the latter from the former, are frequent themes in medieval treatises. Adam draws other interesting comparisons later in his consideration of mode. Most of Adam's rules apply to contrapuntal music (with three voices often implied) and probably to written rather than improvised forms. There are problems in understanding his meanings in some cases, and a striking difference in the sources for the first rule. Each of the rules will be considered individually below. 1. "In all song, at least one voice (vox) is said to be fitted to the true mode (tono); that is, however, to fit 93 to the mode, namely the eight [church] modes; that is, to place closes (clausulas) beautifully and properly; as the accent of prose is adorned through a point, thus also is mode through the eight." The first rule presents interpretive problems because of different readings in the two sources. In two places, where Gerbert has octo (eight), the Bologna manuscript has actos. In the second occurrence in Bologna the word is capitalized, thus making it seem not to be a simple miscopying. Problems also arise from the inherent ambiguity of some of the terms used. Vox can mean voice in a general sense as well as voice part and, most specifically, solmization syllable. Clausula, deriving from grammar and rhetoric, had several meanings in medieval music theory, including a musical ending, an ending on the final of the mode, a closing melodic formula, a section within plainsong, or a section within a polyphonic setting.61 Finally, tonus can carry the general sense of "sound" but also can have the specific implications of the major second interval, mode or psalm tone.62 The problem with this last Latin term is compounded by Adam's use of the form tonatus, which may have a different meaning yet again. As the past participle of the verb tonare (to sound), this form would probably carry a 61. See New Grove's Dictionary, s. v. "Clausula". 62. The ambiguity between the meanings "mode" and "psalm tone" are particularly apparent in the final section of Book II; see Chapter V below. 94 more general sense rather than being specifically related to "mode" or "psalm tone". Thus, actos tonatos in the Bologna version might be translated as "actual sounding".63 Harold Powers gives a translation of the rule "with emendations from Riemann": In every song at least one voice is appointed to be adapted to a correct tone. Moreover, to adapt to a tone (namely, of the eight tones) is this: it is to place cadences beautifully and appositely, for as the rise and fall of speech is set off by the period, so the tone by a perfection.64 Even given Powers's acute perceptions in the topic of modes, his translation of the rule still does not make it entirely clear. However, the first sentence does seem to touch on the role of mode in polyphony, a continuing question for scholars. One of the earliest mentions is a reference in the anonymous Berkeley manuscript, which gives some rules "with respect to every final of the tones or modes of any song — motets, ballades, rondeaux, virelais, and the like." The rules themselves are complex and somewhat confusing: First, every song of this type that ends on any re, on sol B quadratum, on la naturalis, or on sol or la B mollis, is in the first or second tone. Every song of this type that ends on any mi or on la B quadratum is in the third or fourth tone. Every song of this type that ends on fa naturalis or on fa or ut B mollis is in the fifth or sixth tone. Every song that ends on sol or ut naturalis or on fa or ut B quadratum is in the seventh or eighth tone.65 63. Feldmann touches on this rule, "eben weil diese unklar lasst"; see "Musiktheoretiker," p. 52. 64. New Grove's Dictionary, s. v. "Mode." 65. Ellsworth, Berkeley Manuscript, pp. 84-85. See also Ellsworth's introduction, pp. 2-4, for background. 95 A famous and important statment is that by Tinctoris in his 1476 treatise on mode: Hence, when some mass or chanson or whatever other composition you like is made from different parts carried through in different tones, if anyone asks of what tone such a composition may be, he [who is] interrogated ought to reply, for the whole, according to the quality of the tenor, because that is the chief part and the foundation of the whole relationship.66 Another interesting statement of Tinctoris, not often mentioned, is his fifth general rule of counterpoint: The fifth rule is that above absolutely no note, be it medium, superior or inferior, should a perfection be taken by which a removal from its mode (distonatio) can happen. I believe that this can hardly be left to the judgment of the ears.... This perfection, however, for the medium and final clausula of each song is taken by making a perfect concord according to rule, although an imperfect one is inserted from time to time in its place.67 Adam is not as specific as his contemporary in Italy, saying only that at least one voice is fitted to the mode. That the consideration of mode in polyphony became an important one for composers in the sixteenth century is clear from a number of refernces to sources made by Meier.68 Part of the problem with the translations given is that the rule has two parts which seem only vaguely related. The 66. Liber de natura et proprietate tonorum, CSM 22, v. 1, pp. 85-86 and CS IV, p. 29; translation Harold Powers, New Grove's Dictionary, s. v. "Mode." 67. Seay, The Art of Counterpoint, p. 135-36. Riemann, History, p. 268 translates "A cadence shall be made on no note, neither a middle one nor a high or low one, which would make the mode of the melody uncertain." 68. Bernhard Meier, The Modes of Classical Vocal Polyphony, translated by Ellen S. Beebe (New York: Broude Brothers, 1988), pp. 23-29. 96 first part deals with mode, as discussed above, and the second enjoins the composer to place cadences carefully, comparing the effect to that of closes in prose. Two possible interpretations may suggest a relationship between the two parts. The first is that Adam is really talking about cantus firmus technique, his favoured compositional approach, in this rule. The second possibility is that Adam's idea of "placing" cadences refers to the use of notes within the vertical harmonic formulae of the cadences, rather than to the location within the formal plan of the piece. This second interpretation would then imply the necessity of choosing notes that would not distort the mode, and would bring Adam's meaning close to that of the rule of Tinctoris. 2. "Let everyone composing learn to adorn song clearly with pauses, since they give variety; it is not less praiseworthy to pause than to sing, nor is the accent of prose without pause." The second rule points out the need for rests properly placed in musical composition and relates the effect to that of pauses in prose. In similar fashion to several following rules, the second deals more with general aesthetic aspects than with detailed questions of musical technique. For polyphony, Adam would seem to refer to the individual voices regarding placement of rests, rather than the entire fabric. 97 His own music consists mostly of overlapping sections of counterpoint with an ongoing sound but appropriate rests in each voice part. Adam deals with pauses in a more detailed and technical manner in Chapter 9 of Book III. 3. "Every dissonance, if it can be, is to be avoided, and likewise the tritone and diminished fifth, since the difference of a semitone [from the fifth] is prohibited, except in the event that a perfect [consonance] follows it directly; I do not say demidiapente, as Virgil says "half-male Phrygians," since a semitone is not half of a tone." Treatment of dissonance, especially the tritone, is the subject of the third rule, a precept closer to the traditional ones. Adam allows a tritone only when it is followed by a perfect consonance. He touches on the continuing problem of the division of the tone and the size of the semitone69 by mentioning that he uses the term semidiapente (a minor semitone less than a fifth) rather than demidiapente (which would mean exactly half a tone less than a fifth, an impossibility in the Pythagorean system). The Virgil quotation, often used by medieval theorists, does not add to the meaning of the rule and seems related to it only by the prefix "semi-". Again Adam resorts to classical 69. See Chapter III above for discussion of the continuing problem for theorists of the division of the tone into semitones. 98 allusion for the sake of making an impression rather than enhancing his statements. 4. "The true placing of the pitch in transposition of a tone will be carefully observed by the composer, since the meeting of the adjuncts is there, which the Greeks like to call synemmenon, but we call musica ficta." The fourth rule discusses the problem of transposition, which Adam also mentions in Chapter 17. Here he seems most concerned with the placement of the semitone interval, the possible dangers of which he had previously warned. This may be an instance of his theory growing from his practical experience in performance—he had already mentioned this problem in his discussion of mutation (see Chapter III above). A clue to Adam's meaning in this rule is supplied by the Berkeley manuscript and also by an unedited treatise from a Ghent manuscript.70 Both works use the term transpositio in referring to mutation and the conjunctae, that is, hexachords not beginning on C, F, or G, and thus producing musica ficta notes. Adam thus seems to warn the composer to use care in placing a musica ficta note, especially with regard to the location of the semitone within the hexachord. A certain amount of confusion results from Adam's use again of the ambiguous term tonus, which 70. Ellsworth, Berkeley Manuscript, pp. 52-53, for example; Gent Rijksuniversitat MS 70(71), f. 122r. 99 might also refer to a psalm tone or mode. However his specific reference to the semitone interval makes the meaning given above probable. 5. "Let all those composing commit entirely to memory the twelve parts [intervals] of the art, since without these no song is composed." The fifth rule is one of the most simple and basic of the ten. It merely emphasizes the need for composers to know their materials, that is, the intervals. These were enumerated by Adam in detailed fashion in Chapter 7 of the treatise. Adam may also imply here that the composer should be well familiar with all the parts of music in order to introduce needed variety, and also in order to use the intervals properly as consonances and dissonances in counterpoint. 6. "Let all composers have particular regard for the three first steps of music, namely mode, tempus and prolation; for the sake of number, so that what is proper in each case is applied to each, that is, the true signature for recognition and tactus." The three basic levels of mensuration (modus, tempus, prolatio) are touched upon in the sixth rule, pointing forwards to the third book of the treatise. The second part 100 of this rule is difficult to translate clearly; Riemann thinks that it refers to writing the correct time signature.71 This interpretation is bolstered by Adam's definition in Book III: "Signum is that which gives the first knowledge of the song as to mode, tempus and prolation."72 Adam here mentions the important concept of tactus. He is the first theorist to discuss this,73 and treats it more fully in Book III. There he defines it as "the continuous motion in a contained measure by ratio" and gives several specific examples.74 7. "No perfect consonance has a similar perfect [consonance] following, rising and falling, but any perfect [consonance] may appropriately have a perfect one dissimilar to it following, as a fifth after a unison, or an octave after a fifth." The seventh rule is a traditional one of treatises on discant and counterpoint. Successions of similar perfect consonances are not allowed, but dissimilar ones are permitted. This may be compared with the third rule of Prosdocimo, although Adam provides some examples. It is interesting to note that Adam does not mention here the 71. Riemann, History, p. 271. 72. GS III, p. 361. 73. Howard Mayer Brown states that the topic was "first discussed in detail by Adam von Fulda." See New Grove's Dictionary, s. v. "Tactus." 74. "Tactus est continua motio in mensura contenta rationis." GS III, p. 362. traditional practice that a piece must end with a perfect consonance preceded by an imperfect one (sixth to octave or third to unison), outlined, for instance, by Guilielmus. 8. "Although the ancients formerly prohibited more than three or four imperfect [consonances] following each other, we moderns do not prohibit this, especially tenths, which provide adornment when a voice is in the middle." Also more traditional is the eighth rule, which permits successions of imperfect consonances. Adam notes that earlier theorists had allowed only three or four consecutive imperfect consonances but that the moderns are more free in their use. He mentions in particular parallel tenths as the outside parts in a three-voice texture. This effect is frequent in the music of his Netherlandish contemporaries, especially in the works of Obrecht. Regarding that composer, Howard Mayer Brown says "the facile side of his character is perhaps most obviously expressed by his readiness to move contrapuntal lines in parallel motion, especially by tenths in the outer voices."75 A good example occurs in Adam's own compositions. The setting of the responsory In principio erat verbum has the plainsong in long notes in the middle voice with the two outer voices in frequent parallel motion in tenths.76 75. Music in the Renaissance, p. 157. 76. Gerber, Mensuralcodex, p. 58. 102 9. "The fourth must never be placed alone, unless it is bounded by a perfect or imperfect [consonance]: but also, it is allowed neither to ascend nor descend, unless there is fauxbourdon, as mentioned before, which some believe can be made false in hypothesi and hyperboleothesi ranges; but reason does not recommend this, since it is against a preceding rule." The ninth rule deals with another continuing problem, the interval of the perfect fourth. The ambivalent attitude of Adam and other earlier theorists about this interval was discussed above.77 Adam presumably allows it only in a texture thicker than two voices, combined with a perfect or imperfect consonance. Even then it cannot move to another perfect fourth in parallel motion, unless it is in fauxbourdon.78 This latter possibility may necessitate musica ficta in certain ranges, against which Adam advises. The ranges are his principales tetrachord (also called graves; low r to D) and excellentes tetrachord (high d to g). Although his meaning is not clear here, the author may refer to the need for F-sharp against B-natural in fauxbourdon. This then would again demonstrate his 77. Note also that Guerson considers the perfect fourth dissonant in two-voiced counterpoint, but consonant with three or more parts. See Ferand, "Guillaume Guerson's Rules", pp. 257-58. 78. This recalls Adam's brief discussion of fauxbourdon in Chapter 10; see above. 103 conservative approach to problems of chromatic alteration. The "preceding rule" may be the third prohibiting dissonance, the fourth regarding the semitone in hexachord mutation, or possibly the earlier discussion of the fourth as a "semidissonance." 10. "Let all those composing a contra tenor in hypothesi, namely in the low range, learn to place perfect rather than imperfect consonances, except thirds with their aequisones [tenths]; this sound is moderated by a similar sound of consonance." The tenth and final rule also considers intervals in harmonic combinations. In composing a voice below the tenor (which would probably be a cantus firmus), Adam allows perfect consonances and thirds and tenths, which seems to imply that the sixth was less favoured at this time as an imperfect consonance. The reason for this is not clear and cannot be determined from anything he discusses elsewhere. This rule may hint at the development of a sense of a true harmonic bass line, however. Adam finishes consideration of this rule with a guote from Horace, which seems only distantly related in emphasizing the desire for the sweet guality of those imperfect consonances. It is noteworthy, however, that he would conclude his set of composition rules with a statement 104 about the desirability of sweetness. Again, Adam hints at a turning away from ancient principles of rational structure towards a sensuous aspect in music. Indeed, it seems significant that Adam touches on the sensuous and expressive sides in view of concurrent developments in musical thought, such as the new attention to text setting of Josquin and his contemporaries. In addition, it is notable that the theorist everywhere uses the verb "componere" and its derivatives, rather than the more specific "contrapunctus" of earlier and contemporaneous works. He is clearly discussing a written creative act of composition, not an improvised practice. This emphasis on musical composition anticipates the idea of musxca poetica and points to Adam as the most important harbinger of humanism in German music. Chapter 12 of Book II forms a general conclusion for this section on intervals and composition. Adam gives no further technical musical information here; rather he returns to a rhetorical, but not so polemical, style and urges, once again, the proper study of rules and precepts for musicians. As often before, the author brings classical authority to bear in support of his ideas. He justifies his own presentation of rules, since a composer must be more than a mere singer. A striking sentence sets even higher standards for the composer: he "must be immune to all criticism, for he stands above the others; he must never write anything of which he may repent later."79 This anticipates the following confession of some of Adam's own earlier "obscurities" and also acknowledges criticism he has received (perhaps from those same musicians he castigates for not following traditional authority).80 On a more practical level, Adam urges the composer to use the true musical proportions, that is, the intervals ordained by reason to be consonant.81 He also suggests perseverence in exploring the types of figures, which "hold embellishments and subtlety."82 In Book III on mensuration Adam uses the word figura for "noteshapes"; he would thus seem here to be advocating rhythmic variety in divisions. The term also suggests melodic motifs, an idea which was soon to become important in the Doctrine of Figures (Figurenlehre).83 While advocating seeking subtlety in composing by continual singing of the products, he nevertheless asks the composer to strive for understanding 79. 11/12/29-35. Noticed by Riemann; see History, p. 270. 80. Adam discusses his "critics" more fully in the prologue to Book I of the treatise, without giving further clues to their identity. See GS III, p. 331-32. In Book III, he complains of criticism from "gymnosophistae" regarding the dedication of his treatise (GS III, p. 366). This unusual term, possibly fabricated by Adam, could refer to pedantic colleagues at a school or university. 81. It is rather remarkable, then, that Adam mentions the non-Pythagorean ratio of 5:4 for the interval of the major third in Book IV (see GS III, p. 371). 82. 11/12/48-50. 83. See New Grove's Dictionary, s. v. "Rhetoric and Music" by George Buelow. and to avoid obscurity, whether in chant or mensural music. Here Adam confesses to his youthful transgressions; Riemann has interpreted this to refer to a fascination with "riddle canons, false proportions, etc." in "the contrived settings of the Netherlanders."84 Although canon is occasionally found in Adam's music as a structural device, the complexities to which Riemann refers are by no means typical of his oeuvre. An interesting phrase occurs as Adam urges creativity in a composer: "he is a miserable talent who uses inventions (utitur inventis), and not what is to be discovered (inveniendis). "85 A similar quotation in the Speculum musicae of Jacques de Liege86 is credited to Boethius but has not been found in any of his works. Adam uses the idea as well in his prologue to Book II, where it follows several others taken from the Pseudo-Varro Sententiae.87 The sense of the passage would seem to be in the recommendation to find new musical ideas ("what is to be discovered") rather than to use what has already been invented. Adam invokes the importance of creativity in musical composition, seemingly at odds once more with his urging to follow ancient precepts. 84. History, p. 270. 85. 11/12/70-71. 86. "Sed, secundum Boethium, miseri ingenii est semper inventis uti et nunquam inveniendis." CSM 7, Vol. 2, p. 13. 87. II/Prol/42-44. The author finishes with the humble admission that he is "not able to please all"88 but that he has relied on the authority and judgment of serious men. Again, Adam shows his conservative medieval approach in his foundation in reason and established doctrine. 88. 11/12/78-79. 108 CHAPTER V ADAM ON MODE: BOOK II, CHAPTERS 13 TO 17 The final five chapters of Book II of the treatise of Adam von Fulda cover aspects of mode.1 In view of the long tradition of detailed treatment of this subject,2 Adam's exposition is surprisingly summary. This brevity may relate to the author's oft-stated desire for conciseness, or it may reflect the reasons for his writing the treatise (see below, Conclusion, for further discussion).3 He deals with only a few of the standard topics and even they are covered in only a generalized and often derivative manner. More unusual still is the fact that Adam cites not one example from plainchant, and his sole musical example is merely a short 1. A concise and detailed survey of the topic can be found in Harold Powers's article "Mode" in the New Grove Dictionary of Music and Musicians. See also Willi Apel, Gregorian Chant (London: Burns & Oates, 1958), pp. 133-78. Dolores Pesce's The Affinities provides much information on the subject while discussing the more detailed topic of the modal affinities, the association of three of the four modal finals, D, E, and F, with notes which could act as secondary or substitute finals (A, B and C, respectively). 2. Modal theory was often presented as the introduction to tonaries, large catalogues of chants classified by mode. For a complete history, see Michel Huglo, Les Tonaires: Inventaire, Analyse, Comparaison (Paris: Heugel et Cie., 1971). 3. It might even be suggested that Adam views the topic as not so important for his time, given the rise of polyphonic secular and instrumental music. See the final chapter of Book II (11/17/13-15) where he states that "for us with figured music, there is no concern about the differentiae." series of modal formulae. Some information in these five chapters is presented only in charts (for instance, Chapter 14 consists of two diagrams with a mere five sentences to introduce them). Two topics (mediants and tonus peregrinus) are given more concentrated and non-derivative coverage, but these are unusual aspects of chant which Adam may have discovered to be more difficult for students to grasp. All these factors indicate that the treatise seems not to have been written for practical use. The style of discourse in this section eschews much of the impassioned polemical writing of the previous parts. All of these factors combine to give the final chapters of Book II their brevity and concision. It is noteworthy that Adam's discussion of mode is entirely separate from his consideration of the hexachord. Generally, theorists do not attempt to link the two ideas,4 possibly because the latter was a practical tool for teaching while mode is a more abstract concept applied to complex music (often with some difficulty). When Ramos suggested eliminating the Guidonian hexachord system in favour of an octave one, perhaps attempting to combine the concepts more closely, he incurred a great deal of wrath. 4. Richard Crocker has suggested in his article, "Hermann's Major Sixth," that Hermannus attempted to join the two concepts; discussed also by Berger, Musica Ficta, p. 6. 110 Tonus: Definition and Names (Chapter 131 Adam begins directly with his definition of tonus. As with other terms discussed above, he supplies several meanings (here two) which resemble those of other theorists. The first in fact is identical to that in a treatise of c. 1400 identified by Coussemaker as being by Philippi de Vitriaco: "Tonus is the discernment or recognition of the beginning and ending, ascent and descent, of any regular melody."5 Also in common with other terms Adam treats, there is sometimes an ambiguity present, partly because of the various historical uses of the word. Tonus can be translated simply as "tone" or "sound"; or it can mean more specifically the interval comprised by two unequal semitones; finally, it may signify "mode". Adam attempts to clarify his use of the term in this chapter, but the distinction is vague.6 Furthermore, it becomes clear very 5. "Tonus musice est discretio principii et finis, ascensus et descensus cujuslibet regularis cantus;" CS III, p. 36. The treatise was contained in Cod. M.222 C.22 of the University of Strasbourg, but burned in the same library fire which destroyed the original manuscript of Adam's treatise in 1870. It was copied in 1411 and has also been attributed to Henri de Laufenburg. See Charles van den Borren, Le Manuscrit Musical M.222 C.22 de la Bibliotheque de Strasbourg (Antwerp: E. Secelle, 1924). For a reconstruction of this codex, see Martin Staehelin, "Bemerkungen zum verbrannten Manuskript Strassburg M.222 C.22" in Die Musikforschung 42 (1989):2-20. 6. The treatise mentioned in n. 4 above makes the distinction of tonus sonorum for "interval" but tonus musice for "mode". soon in this section of Book II that Adam uses the word tonus to mean both a church mode and a psalm tone.7 A brief exposition of the debate over the three possible words for the concept—tonus, modus, and tropus— ensues. The dissension over terminology began early with Boethius, who states, "From the species of the consonance of the diapason arise what are called "modes" [modi]. They are also called "tropes" [tropos] or "tones" [tonos]. "8 Guido states that the modes or tropes [modi vel tropi] are improperly called "tones" [tonos].9 This was expanded upon by Johannes Affligemensis, who cites Guido's disparagement of tonos, even in his chapter heading.10 Johannes goes on to discuss the derivation of the words modos (from moderando [controlling] or modulando [measuring off]) and tropos (from "turning back"). As do others before him (Jerome of Moravia and Conrad von Lorenz, for example11), Adam simply quotes this passage of Johannes. Although he takes no stand on the proper terminology, Adam consistently uses the term tonus in Book II when discussing mode or psalm tone. 7. Page mentions that Johannes Affligemensis also mixes these two usages rather confusingly; see Summa musice, p. 21. 8. Boeth., p. 341; Bower, p. 153. 9. Guido, p. 133; Babb, p. 66. 10. Affl., p. 76-77; Babb, p. 115. 11. Cserba, p. 153; Gumpel, p. 218. Another quotation taken almost literally from Johannes draws some parallels between music and grammar.12 In fact, this connection was made much earlier than the treatise of Johannes. Augustine's De musica dealt in five of its six books with poetic metres;13 this reminds one of the close relationship between music and poetry in ancient Greece. One of the first medieval theorists to compare the modes with grammatical (and other) concepts was Aurelian in his ninth-century Musica Disciplina.1^ He also draws parallels with celestial motions and bodies, numerical disciplines, and the muses. Gushee points out that accentus, tonus and tejior were already established terms derived from grammatical writers well before Aurelian.15 Guido was one of the first authors to mention eight parts of speech (as well as the eight beatitudes) in comparison to the modes.16 The anonymous Musica enchiriadis17 and Berno's Prologue18 both describe the similarity of prose pauses (colon, comma) with musical ones called diastema and systema. This similarity is expanded upon by Johannes, who credits Aelius Donatus (Acs grammatica, fourth century) with some of his terms. Page notes that "musicians of the eleventh and 12. Affl., p. 78; Babb, p. 116. 13. See Patrologia Latina, XXXII (1841):1081-1194. 14. GS I, pp. 39-42. 15. Gushee, "Questions of Genre," p. 391. See also his extensive note 37, p. 377-78, regarding the roots of the term "comma" in grammar and rhetoric. 16. Babb, p. 68. Babb lists the eight parts of speech as noun, verb, pronoun, adjective, adverb, preposition, conjunction and interjection. 17. GS I, p. 152. 18. GS II, p. 73. twelfth centuries were taught to regard plainchant as a kind of applied grammar.... The study and performance of plainchant was a discipline with its roots in the punctilious study of the Latin language."19 That the connection between music and grammar was still of vital concern in Adam's time is reflected in a work of the same year as his treatise, Jean Le Munerat's De moderatione et concordia grammatice et musice.20 Perhaps this interest can also be seen as a link between earlier ideas and the later concept of musica poetica.21 Adam's discussion of mode here, focusing on accents and pauses and even using the words modos psallendi ("ways of singing") signal very early in this section the ambiguity 19. Page, Summa musice, pp. 35-36. 20. Don Harran, In Defense of Music: The Case for Music as Argued by a Singer and Scholar of the Late Fifteenth Century (Lincoln, Nebraska: University of Nebraska Press, 1989). 21. This concept was first introduced by Nikolaus Listenius in his 1537 treatise, Musica. He divides music into three: theoretical, practical, and poetic. "Poetic is that which is not content with just the understanding of the thing nor with only its practice, but which leaves something more after the labor of performance, as when music or a song of musicians is composed by someone whose goal is total performance and accomplishment." Trans. Albert Seay (Colorado Springs: Colorado College Music Press, 1975), p. 3. For more information, see books and articles listed in George F. Buelow, "Music, Rhetoric and the Concept of the Affections: a Selective Bibliography" in Notes 30 (1973-740):250. For a discussion of the role of musical ideas in the study of grammar, see Edward A. Lippman, "The Place of Music in the System of Liberal Arts" in Aspects of Medieval and Renaissance Music: A Birthday Offering to Gustave Reese, edited by Jan LaRue (New York: Pendragon Press, 1966), pp. 545-59. between mode and psalm tone. Perhaps this reflects his reliance on old sources from a time when the two were less distinct, since many complex free chants seem to have evolved from older regular psalms. A chart included at this point in the treatise (see Appendix C, nos. 19 and 20) lists the eight modes first by the more usual numbers used in all ecclesiastical sources, and then by the Greek names (Dorius, Phrygius, Lydius, Mixolydius, and their plagal eguivalents). It is noteworthy that this is the only place in the section on modes where Adam uses these Greek names. This is not atypical, for the treatise of Coussemaker's Anonymous XI makes no mention of these names at all.22 Adam quickly slides over the problem of how there can be eight modes when there are only seven pitch classes by quoting Virgil twice. Both quotations give an historical, but not musical, justification for there being seven notes in the octave. It is as if the mere citing of a classical source provides enough authority for the theorist. The texts are common in medieval music treatises, and the words of the second one, septem discrimina vocum, are almost a cliche.23 Adam does not give any technical explanation of 22. CS III, pp. 416-75. See also Wingell, "Anonymous XI," p. 394. 23. See, for instance, Affl., p. 72; Babb, p. 113. The attraction to Virgil's phrase goes back at least as far as Isidore; see GS I, p. 23. 115 the reason for the number of modes being eight, although, as noted, some numerological significances and parallels with the numbers four and eight were mentioned. Thus, his explanation seems more mystical than logical. A second chart at this point (Appendix C, nos. 21 and 22) divides the eight modes into the authentic (odd-numbered) and plagal (even-numbered) types. Here, the modes are designated only by number. Adam finishes the chapter with a brief description, but no definition, of differentiae, mentioning the melodic formulae (EUOUAE, that is, the formulae for Seculorum, Amen at the end of the Gloria Patri verses) which provide appropriate connections between psalms and their antiphons. Thus Adam again is mixing the concept of mode in general with that of psalm tones. Initials and Finals of Modes (Chapter 14) Chapter 14 is very short and consists mainly of two diagrams. The first (Appendix C, nos. 23 and 24) ostensibly lists the possible beginning and ending notes of each mode and also provides a traditional verse repeating the same material: Song begins in four regular places. First, fourth and sixth [modes] begin in a, The second in F. Third, fifth and eighth start with c, But the seventh with d. Song ends in four regular places. Second and first [modes] finish in re, But third and fourth in mi. With fa [finishes the fifth] or sixth, The seventh or eighth in sol.2^ It should be noted that what Adam refers to as the "beginning of song" is in reality the tenor of the psalm tone. He may use the idea of beginning tones since the psalm tone incipit is heard only on the first verse of the psalm, and all succeeding verses would begin directly with the tenor note. Another possibility is that the tenor is the beginning note of the EUOUAE formula. Johannes Affligemensis uses the expected word tenor in a similar passage.25 The second diagram (Appendix C, nos. 25 and 26) is the only musical example in the entire section on modes (indeed, the only musical example in Book II aside from the chart of intervals included only in the Bologna manuscript26). 24. The source of the verse has not been found; it does bear some resemblance to material in the Summa musice, attributed by Gerbert to Jehan des Murs. See GS III, p. 232; Page, Summa musice, pp. 109, 188. The fact that the first half uses letter note-names and the second solmization syllables suggests the possibility of two separate verses and sources. 25. "Est autem in .F. tenor secundi toni, in .a. acuta primi, quarti, sexti. In .c. tertii, quinti, octavi, in .d. septimi." Affl., p. 82-83. Johannes also gives the opening notes of the incipits for the psalm tones. See also Page, Summa musice, p. 111. 26. The intervals chart is part of Chapter 7; see Appendix C, no. 15. 117 Although Adam calls this short piece a cantilena, it is really only a series of eight short melodic motives, each one associated with one mode. They seem to indicate closing formulae of the modes. The beginning notes of all but the seventh satisfy the foregoing stipulations about initials (tenors) and in fact correspond to the tenors of the psalm tones.27 Further comparison shows a close relationship between Adam's motives and the endings of the psalm tones given by others. There is exact equivalence, for example, with the second and third tone endings given by Johannes, and close similarities for fourth, fifth (differing only by the chromatic alteration of the note B), sixth, seventh and eighth tones.28 A chart of the psalm tones in the Speculum Musicae of Jacques de Liege shows similar relationships to Adam's formulae. The endings of fifth, sixth and eighth tones are the same, and others except the first are close.29 Finally the modern Liber Usualis indicates the same situation as with Jacques.30 The Liber Usualis supplies a number of possibilities, especially of the terminations. 27. It would appear that the seventh formula was copied one tone too low by Adam or Gerbert. A similar example in a later treatise, possibly influenced by Adam, changes the formula for the seventh mode, making it consistent as well with the verse. See Johannes Cochlaeus, Tetrach.or6.um Musices, Introduction, Translation and Transcription by Clement A. Miller, Musicological Studies and Documents 23 (n.p.: American Institute of Musicology, 1970), p. 52. 28. Affl., p. 85; Babb, p. 119. The formulae given by Johannes are shown in Figure 4. below. 29. CSM 3, v. 6, p. 233. The chart is reproduced below; see Figure 4. 30. Pp. 112-17. 118 These may reflect regional or chronological differences in the manuscripts used for the Solesmes edition. The many termination formulae may also represent the differentiae mentioned but not specified by Johannes, Jacques, or Adam. It is curious that Adam's formula for the first tone differs significantly from the other sources. Possibly this is a scribal error of omission, since the four notes given resemble the first notes of the longer formula in the other sources. Modal Affect and Ambitus (Chapter 15) The idea of each mode having a unique affect is an ancient and almost universal one, which, in the written western tradition, derived ultimately from Plato's writings.31 It is touched upon by many medieval theorists, but it is hardly surprising that there is a rather wide variety of opinions about the affective quality of each of the eight modes. Steblin, surveying the affects attributed to the Dorian mode, points out that a fairly consistent 31. See especially selections from the Republic, translated in Oliver Strunk, Source Readings in Music History (New York: W. W. Norton, 1965), pp. 3-12. For background information on modal affect see Hermann Abert, Die Musikanschauung des Mittelalters und ihre Grundlagen (Tutzing: Hans Schneider, 1964; repr. of 1905 ed.), pp. 234-46, and Rita Steblin, A History of Key Characteristics in the Eighteenth and early Nineteenth Centuries, No. 67 of Studies in Musicology, ed. by George Buelow (Ann Arbor, Mich.: UMI Research Press, c. 1983), pp. 19-29. Meier The Modes provides much data, but it is almost exclusively related to the sixteenth century. 119 tradition begins with Aegidius de Zamora and endures until the Renaissance theorists returned to ancient Greek writings for reconsideration.32 If Steblin's survey indicates a definite late medieval stream for all the modes, then Adam seems to be a part of it. Adam's exposition of modal ethos consists of a short verse which he credits to Guido: The first [mode] is fit for all, and the second for the sad: The third is said to tend to the angry, the fourth to the alluring. Give the fifth to the happy and approve the sixth for piety. The seventh is youthful, but the last is wise.33 However, the verse has been found neither in any known works of Guido nor in any other available treatise. Each of the modes is characterized here by one descriptive word. These words are found in the first outline by Aegidius34 as well as in Gobelinus Person,35 Coussemaker's Monachus Carthusiensis,36 and Amon's Anonymous,37 all of whom give more detailed treatments to each mode. Adam provides a 32. Steblin, p. 26. 33. II/15/6-17. 34. GS II, pp. 387-88. 35. Hermann Miiller, "Der tractatus musicae scientiae des Gobelinus Person" in Kirchenmusikalisches Jahrbuch XX (1907):187. The treatise was completed in 1417. 36. CS II, p. 448. 37. Johann Amon, Der Tractatus de musica cum glossis im Cod. 4774 der Wiener Nationalbxbliothek (Tutzing: Schneider, 1977), p. 88. classical imprimatur to his version with a quotation from Ovid: "When I was happy, I sang happy songs; sad, I sing sad ones."38 The Ovid text adds no information to Adam's treatment, and seems included principally to show off the author's knowledge of ancient literature. A summary of modal ambitus follows, with a brief nod to Berno for his regularization of this subject.39 The definition, although citing Odo, is in fact exactly the wording found in Amon's Anonymous.40 The ranges described by Adam are the traditional ones of Johannes,41 also mentioned by Jerome of Moravia, Conrad von Zabern, and the Szalkai manuscript.42 In this traditional formulation, the authentic modes regularly ascend an octave above their finals, and, by license, a ninth or tenth. They descend one note below the finals (except the fifth mode, because of the semitone). Plagals ascend a fifth above their finals, and a sixth by license; they descend a fourth or fifth. The final two paragraphs of Chapter 15 contrast the ancient idea of four modes (sometimes called maneriae) with 38. Epistulae ex Ponto, III, 9, 35. 39. Berno of Reichenau discusses modal structure in terms of species of fourth and fifth. See GS II, p. 69. 40. "...cursus tonorum est certa lex ascendendi et descendendi cuiuslibet cantus regularis." See Johann Amon, Der Tractatus, p. 47. The Odo citation may refer to the Dialogus, attributed by Gerbert to Odo; see GS I, p. 257. 41. Affl., p. 92; Babb, p. 122. 42. Cserba, p. 157; Gumpel, pp. 223-24; Bartha, pp. 91-2. the more modern concept of eight modes. Adam uses the Greek word phthongos (actually meaning "sound") and quotes Johannes's parallel of the four ancient modes with the four seasons. Another Greek term employed here is argous, an alternative to protus or "first." It is probably a corrupt version of archoos, which occurs in some earlier treatises.43 Adam's short verse (11/15/77-78) about modal ambitus has not been traced, although it is similar to those in Amon's Anonymous, Anonymous XI, and the Szalkai manuscript.44 The characterization of modes by directional tendencies—authentics tending upwards and plagals downwards—would seem to refer solely to the ranges, rather than to any sense of melodic movement or cadential patterning. Adam implies that the "moderns" prefer the eight mode arrangement because it accounts for the differing ranges about the finals. Since the eight mode system made its appearance as early as Aurelian's Musica Disciplina in the ninth century, his definition of "modern" seems rather flexible, here extending back some six hundred years. 43. Some of the earliest occurrences are in the Musica and Scholica enchiridias; see GS I, pp. 152 ff. and 174 ff. Later users include Johannes Ciconia; see Nova Musica, ed. and trans, by Oliver B. Ellsworth, part of Greek and Latin Music Theory, ed. by Thomas J. Mathiesen and Jon Solomon (Lincoln, Nebraska: University of Nebraska Press, 1994), p. 226. 44. See Amon, p. 46; CS III, p. 430; Bartha, p. 89. The Szalkai manuscript (Bartha) gives: "Vult descendere par, ascendere vult tonus impar." It is credited to Theogerus (GS II, pp. 183-96) but nothing similar to Adam's verse has been found there. Modal Alteration (Chapter 16) The penultimate chapter of Book II devotes more detailed coverage to a particular difficulty that Adam had touched upon before and one that he may have encountered in his experiences in performing and teaching. It is the problem, discussed already in the treatise, of the use of the note b-flat. Adam employs here a rather problematic term, hemitonium. This word would seem to bear the same meaning as "semitone," and was used by earlier theorists in this sense. Adam, however, follows Johannes and the Summa Musice in implying by the word a "half-way point of a mode, that is, the mediant formula. The statement of Johannes is brief and vague, but the Summa, especially in the text and translation of Page, is clear in its delineation of the topic.45 Chromatic alteration, Adam says, is allowed in protus (first and second modes, on D) and tritus (fifth and sixth modes, on F), but not the other two. He finds it inconsistent that some theorists permit a change in the plagal form of tritus (sixth mode) but not in the authentic 45. See Affl., p. 93 and Babb, p. 123. For the Summa, see GS III, p. 231; Page, Summa musice, pp. 112, 190. The Berkeley manuscript uses the term mediation see Ellsworth, Berkeley Manuscript, pp. 82-83. (fifth mode). In elaborating this idea, Adam uses a puzzling term, bisonum, which seems to be unique to him.46 The word literally means "two sounds". A possible interpretation in this context is that it refers to the two notes called b, that is, b fa and # mi, which allow the alteration of a note in order to avoid a tritone. Once more, Adam expresses his surprise that some moderns do not follow the ancients in allowing a b-flat in both authentic and plagal tritus, but rather only permit it in the latter. It is possible that Adam is here referring to the common practice of transposition of modes to avoid notational chromatic alterations.47 He discusses this custom in his final chapter of Book II and also mentions it in the rules of composition in Chapter 11. However, it seems more probable that Adam was here referring specifically to the mediant formulae of the psalm tones. His statements may be compared with the chart from the treatise of Jacques de Liege, shown in Figure 2. below. Jacques indicates a b-flat in the mediants of the first and sixth modes, in conformity with the "moderns" of Adam's text. It is difficult to see Adam's point about the authentic tritus (fifth mode) if he is discussing only 46. Even more puzzling is quartum bisonum. Perhaps with this Adam means the fourth note of the hexachord, especially the soft hexachord on F, where the semitone occurs. 47. I am grateful to Dr. Thomas Mathiesen of Indiana University for this suggestion. mediant formulae, since there is no note b to alter. He may be referring to the termination pattern. There, a b-flat would avoid a tritone with the opening f, although those two notes would be separated by the whole length of the verse and thus an alteration would seem unnecessary. He does say, however, that it otherwise "begins easily, and finishes harshly."48 The termination formulae given by Johannes (see Figure 2. below) seem to confirm this possibility, since they include a b-flat for the fifth mode. More puzzling is Adam's mention of a specific note, E, through which the tone moves to its final, creating a tritone. This note is not found in any examples of the fifth or sixth tones; unfortunately, Adam does not supply his own versions for corroboration. That variations in the tones occurred freguently is confirmed by the Summa musice: The mediations of the second, seventh and eighth modes are inflected in various ways according to the usage of churches in different regions, which is not surprising since ways of speaking and dressing also vary. In all satisfactory things, anyone who is content to leave such things alone will also be pleased to change them, for "with the passage of time a wise man modifies his ways without wrongdoing".49 Adam ends the chapter with a brief complaint about musicians who use wrong modes through lack of understanding. 48. 11/16/26-28. 49. Page, p. 112. The quotation is from Disticha Catonis, 1:7. In a mild way, this recalls the more strident polemics of earlier parts of the book,50 as well as the comments of Guido and Johannes noted above. Adam may refer here to careless singers who might use the similar termination for the eighth psalm tone, for instance, when singing the third (which has the same tenor), and likewise with the first and fourth tones, or the seventh and sixth (although those pairs are less close). 50. See, for instance, II/6/48-52 where Adam mentions a church musician chanting the wrong tone. Figure 2 . Psalm Tone Formulae. Johannes Af f l igemens i s , Musica, A f f l . , p . 85 8 — r ~ r - — • • n s\~> ' , 3 " - - r» «. 2 * Glo-ri- a p _ .... i . ' SV* * • • sae - cu - lo - rum A-men. * " " 3 . II * • • II Glo-ri • a c - • '*!•> * . sae - cu - lo- rum A-men. • • * L • il • • b> ' 11 Glo- n - a f S * sae - cu - lo - rum A- men. • a * « . a I .— -t . s <-iJ> 1 Glo-ri -a sae-cu - lo-rum A- men. <?> < 4 > < 6 > < 8 > i y • Glo-• • Glo-1 • Glo-1 • rl -• ri -.4 ri -a sae • • a sae • a sae —• •— — j . • g cu - lo - rum A-men. • * « — r - E cu-lo-rum A-men. • • II • 4 • . | -cu-lo-rum A-men. ""** n fs~l, !! " ' • i 1 Glo - ri - a sae - cu - lo - rum A-men. Jacques de L iege , Speculum musicae, CSM 3 , v . 6, p . H jj 1 1 1p1 1 jj i n 1 I \ a g 1 1 j 1 <^ Primus to-nus sic me-d i - a - t u r a t - q u e s i c fi - n i - t u r . j j I 1 1 1 1 1 1 1 HI 1 1 iTTTl TJEEEEJ T3 =4=3= Se-cundus t o - n u s sic m e - d i - a - t u r a t - q u e s i c fi - ni - tur. i i 1111 jj in i >t jj ill i M s i II T* Ter-ti - us to -nus sic m e - d i - a - tur a t - q u e s i c f i - n i - t u r . 1 1 1 1 1 1 1 11 '1 1 1 '>-'1 1 1 " I * . Quartus to -nus sic m e - d i - a - tur at -que sic fi - n i - t u r ' 1 1 1 1 1 1 1 1 | 1 1 1 1 1 i II 1 1 1 1 35 Quintus t o - nussic m e - d i - a - tur a t - q u e sic fi - n i - t u r . | j j i 1 1 1P1 1 \ 1 I 1 1 1 a J 1 h 1 1 » ^ Sextus t o - n u s sic me-di - a - lur a t - q u e sic f i - ni - tur. g jj 1 1 1 1 \ 1 1 111 1 ,1 1 1 jjg 1 1 1 ^ S e p - t i - m u s to-nus s i c m e - d i - a - tur a t - q u e sic fi - n i - t u r . 1 \ i i i i i i i Hi i } i jj 11n 1 i 1^ O c - t a - v u s t o - n u s sic m e - d i - a - tur a t - q u e s i c f j^ j i i - tur. Tonus Peregrinus (Chapter 171 The final chapter of Book II discusses another unusual topic, although not in great detail. The tonus peregrinus (wandering or pilgrim tone) had been in use for centuries.51 The name may come from the changing pitch of the tenor between the two halves of the tone (a for the first part and g for the second), or from its use in the so-called "Pilgrim's Psalm" (113), In exitu Israel. It was first discussed by Aurelian of Reaume as the tonus neophytus52 and by the anonymous Commemoratio Brevis as tonus novissimus.^ The term, tonus peregrinus, was fairly new in Adam's day. According to Erbacher, it was possibly first used by Hugo Sprechtshart von Reutlingen in his Flores musicae of 1332, and it also appears in Monachus Carthusiensis and Anonymous XI.54 Among Adam's near-contemporaries, Johannes Twinger von Konigshofen (Tonarius, c. 1400), Gobelinus Person (Tractatus musicae scientiae, 1417), Conrad von Zabern (Novellus musicae artis tractatus, c. 1460) and Johannes 51. For a complete treatment of the topic, see Rhabanus Erbacher, Tonus Peregrinus: Aus der Geschichte eines Psalmtons (Miinsterschwarzach: Vier-Tiirme-Verlag, 1971). The second half of Erbacher's book deals with the use of the tone in polyphony. 52. GS I, p. 51; Commemoratio brevis de tonis et psalmis modulandis, translated and edited by Terence Bailey (Ottawa: University of Ottawa Press, 1979), p. 54. 53. GS I, p. 218. 54. Erbacher, p. 67. 128 Cochlaeus (Tetrachordum musices, 1511) all employ the term. It is noteworthy that these are all German writers. Adam states that this mode is not one of the regular, numbered tones, and that he considers the ending (differentia) to be of the first mode, not the eighth as some say. Adam then minimizes the importance of these considerations, saying that transposition is frequent in figured music, both because of vocal range and because of the necessity to match voice with instrument. (He uses the word "transposition" in the modern sense here, rather than to mean mutation between hexachords, as in Chapter 10.) In a passage made somewhat difficult by a missing word or phrase (11/17/30), Adam talks about some of the limitations of voice or instrument and gives an example of a resulting transposition. He seems to say, surprisingly, that he ends first mode songs on G since a true voice cannot reach the lower D (that is, D below r ut 5 5). It is not clear whether he refers to voices or instruments here, or whether he is discussing multiple-voiced compositions or monophonic melodies. This idea recalls the affinities, the alternate possible endings for three of the four modal finals. However, the affinity for the first mode is A, not G; use of G for a final, moreover, would create a different interval structure above it unless the B were chromatically altered. 55. In which case Adam's gamut would have to be extended even further downward from the expansions discussed above in Chapters III and IV. A short concluding paragraph sets forth Adam's original intention for Book II to provide a concise introduction to musica plana as a basis for the next book on measured music, and emphasizes the need for a firm grounding in fundamentals before more complex later study. He finishes with a vivid metaphor, stated in a rather convoluted manner, of ploughmen gaining a foothold and not looking back. It is probably based on Luke 9:62, "And Jesus said unto him, No man, having put his hand to the plough, and looking back, is fit for the kingdom of God."56 Book II of the treatise ends, as do the other three books, with a Narratio in praesens, a short poem touching on the foregoing material and leading to the following section. Adam takes the opportunity to make some rhetorical flourishes and also to invoke some figures from classical literature, in this case, the Muses. This type of effusive verse is less typical of the late medieval treatises than it is of contemporary and later humanist-influenced works, especially in Italy. 56. Adam's use is closer to that of St. Jerome in the Vita Malchi: "...ne aratrum tenens post tergum respicerem." See Patrologia Latina, v. 23, p. 57. CONCLUSION A number of intriguing questions and even contradictions have arisen during the detailed consideration above of Adam von Fulda's De Musica, Book II. Was Adam an academic theorist in the late medieval tradition or a practical performer writing an instructional manual? Was he a rule-bound conservative relying on the authority of the ancients or a creative modern composer willing to bend regulations for sensuous effect? Who indeed did he consider "ancient" and "modern"? How much was he really influenced by humanist thought surging north from Italy? What did Adam really think of the musical conditions of his time, whom was he criticizing, and who were his critics? These questions cannot be completely answered at this time, unfortunately. That the music treatise of Adam von Fulda, however, forms a vivid mixture of theoretical and practical, technical and rhetorical is clear. In spite of his constant references to and citations of ancient authorities, his work is informed on almost every page by his experience as a teacher, composer and performer in a varied musical milieu. To the extent, then, that Adam has allowed his own approaches and ideas to alter the time-bound rules, has admitted modern figures like Dufay as authorities, and has inflected his treatise with his own creative, and sometimes even sensuous attitudes, he can be thought of as a real humanist, rather than just a conservative late-medieval writer in renaissance clothing. In particular, the rules of composition indicate a significant shift in attitudes of his time, from music as a mathematical science to music as a creative art. One of the most important aspects of his treatise is thus the clues it can give the modern historian about this great transitional period in music. An essential side of that issue is, of course, the window that the treatise gives on the general musical life of the time. Aside from this general significance, Adam and his treatise can be seen to have more specific importance as well in his influence on later theorists. In the closing years of the nineteenth century, Riemann noted a close resemblance between Adam's treatise and a work which the famous music theory historian had edited by an author now known as Leipzig Anonymous.1 The resemblances are many and include both the general plan and content and specific phraseology. Later studies by Clement Miller have shown this work to have been an early version of the Musica by Cochlaeus (c. 1504). Miller also discusses the close relationship of the Cochlaeus with the contemporary Opus Aureum of Wollick and Schannpecker (c. 1501).2 Thus, a 1. History of Music Theory, pp. 272-73; the edition of Leipzig Anonymous appears in Monatshefte fur Musikgeschichte 11-12 (1897):147-64, 1-2 (1898):1-19. 2. See "Introduction" to Cochlaeus, Tetrachordum, pp. 2-7. Miller also supplies a chart of sources for the connection seems evident between Adam's work and these early examples of the flowering of printed music theory in Germany. Further research, beyond the scope of this study, may well establish a more definite link between Adam and the city of Cologne, where both of those later theoretical works were published, as well as with the renowned theorist, Glareanus, who was a student of Cochlaeus. Another possible stream of Adam's influence may derive from his teaching of music at the University of Wittenberg, established by Frederick the Wise in 1502. Two later graduates, Georg Rhau (matriculated 1518) and Ornithoparcus (1516) demonstrate some parallels with the older teacher in their writings, although it is not known that they had personal contact with him. Rhau became an important publisher of music texts, and his Enchiridion may have been influenced by Adam.3 Federhofer-Konigs's edition of the Practicae Musicae utriusque praecepta brevia by Johannes Oridryus often refers to Adam as the first in a series of possible influences from Tetrachordum; see pp. 90-91. For the Opus Aureum, see Niemoller, Die Musica Gregoriana, and Klaus-Wolfgang Niemoller, Die Musica figurativa des Melchior Schanppecher, Vol. 50, Beitrage zur rheinische Musikgeschichte, (Cologne: Staufen, 1961). 3. Georg Rhau, Enchiridion utriusque musicae practicae (musica plana), facs. ed. (Kassel: Barenreiter, 1951). Although a detailed study has not been made, similarities are evident again in general content and in specific wordings. Germany.4 In addition, Bank points to much borrowing from Adam in the treatise by Simon de Quercu.5 Finally, some similarity with and possible influence on the later treatise of Seybald Heyden has been noted above.6 However, Adam's treatise itself was probably not widely known or read. Jill Palmer has noted that the treatise of Anonymous XII (CS III) was possibly "used for private tutoring, commonly done by university faculty members who accordingly left treatises on musical subjects."7 Carpenter mentions this as a general custom,8 and it is apparent that Adam's treatise follows in this tradition, albeit as a later record of completed teaching rather than as a manual for use. Adam indicated clearly in his dedication that the work was reguested by Luntaler. At another point he mentions a twelve-year period of "learning", which might refer to his 4. Johannes Oridryus, Practicae musicae utriusque praecepta brevia, ed. by Renate Federhofer-K6nigs, Vol. 24, Beitrage zur rheinische Musikgeschichte (Koln: Arno Volk, 1957). 5. J. A. Bank, Tactus Tempo and Notation in mensural music from the 13th to the 17th century, (Amsterdam: Annie Bank, c. 1972) p. 25. There is no edition or translation of de Quercu's treatise; for a detailed discussion of it, see Heinz Ristory, "Die Mensurallehre des Simon de Quercu (Parts I & II)," Musiktheorie 6 (1991), pp. 3-28, 103-127. 6. See Chapter III, p. 61. 7. Jill M. Palmer, "Coussemaker's Anonymous XII: a text, translation, and commentary" (M. A. thesis, Brigham Young University, 1975), p. 8. 8. Nan Cooke Carpenter, Music in the Medieval and Renaissance Universities (Norman, Oklahoma: University of Oklahoma Press, 1958), p. 226. acquaintance with the dedicatee, his tutoring of same, or even his general teaching career.9 The style of the treatise lends support to the idea that it was written not for practical use, but as a gift to Luntaler, with the principal purpose of summarizing earlier tutoring. Adam several times expresses an explicit desire for brevity, and he omits a number of details that might be pertinent for a performer (but which might not be of interest to an amateur). For example, he gives little useful information about the important topic of musica fxcta, and his treatment of modes is unusually brief except in two isolated areas, chromatic alteration of psalm tones and the tonus peregrinus, topics which may have aroused interest in his reader. Particularly striking are the lacks of musical examples and citations of specific chants, even by name. This contrasts with the approach taken by many practical treatises, and notably with Adam's models (Guido and Johannes Affligemensis) and some contemporaries (Bartha's Anonymous and Gobelinus Person, for example). The omissions are surely not to be attributed to Adam's ignorance of the subject, as he was himself a practicing musician and accomplished composer. 9. In the final case, using the conjectural dates of birth from Chapter I above, Adam would have been 18-30 years old when he started teaching. An age of 25-30 would seem likely, giving birth years of 1448-53. In spite of the author's stated aim of brevity, several parts of Book II are given over to extended polemics. This aspect, too, marks the work as being apart from the practica family of music treatises.10 Almost the entirety of Chapter 6 of Book II, the longest, is devoted to this rhetorical sermonizing, as well as substantial portions of Chapters 9 and 12. Adam may have wished to include material from former discussions about music with Luntaler or with other past students fascinated with new musical ideas, forms and techniques. It is also possible that, because he was writing to a specific individual, he may have felt more freedom to express his feelings on these general subjects that were not part of a traditional training manual for musicians. While these passages form some of the most vivid parts of the treatise and give a strong sense of Adam as a unique and deeply committed musician, they certainly remove it from the realm of musica practica. The treatise seems to have existed as a single manuscript copy, recorded as being first at Altzelle, and then in Strasbourg where Gerbert found it and rescued it from oblivion. If the treatise was originally preserved in but a single exemplar given to Luntaler, that copy would not have been readily available either to Adam's contemporaries or to his students. Given these hypotheses therefore, it 10. See the discussion in Chapter II above regarding the classification of the treatise; see also Gushee, "Questions of Genre" for background on this problem. can be said that one aspect of the importance of the treatise lies in its role as a record of Adam's teaching, and thus also as a glimpse into music pedagogy in a northern Europe that was on the verge of a turbulent time, one which would take musical composition and thought far away from the traditions that were Adam's touchstones. Clearly Adam was influential on later theorists, but his ideas were apparently communicated largely through lecturing and tutoring, rather than through this particular treatise being recopied and frequently studied in the master's absence. Of course, it is entirely possible that he either wrote other theoretical works or made other copies which have since disappeared, although these have never been mentioned in available contemporaneous or modern sources. Many unique features of Book II of Adam's treatise have been noted in the detailed discussions above. He uses a number of unusual terms for the first time (for instance, periphonorum in Chapters 8 and 10, and semidissonantia in Chapter 10), and new ideas which reappear in later works (for example, the requirements for mutation which Heyden uses, found in Chapter 5 of the treatise). In particular, the rules of composition differ from others of either his own time or earlier. This was a topic touched upon little by his northern contemporaries, and his approach is thus even more remarkable in that it represents a broad and practice-based approach, with an innovative emphasis on the creative art of writing music. New aspects of subjects treated in the other books of the treatise have been mentioned by other scholars and do not form a part of this study. Of particular importance is Adam's discussion of tactus in Book III, and his references to current musical practices of composers like Dufay and Busnois, as well as of music-makers of the more common folk. Many examples and even specific quotations of classical authors known to Adam have been cited in the footnotes which accompany the translation. He is probably the first northern theorist to quote so extensively from such a variety of writers.11 Thus, Adam's treatise is an important indication of the penetration of humanist ideas into the north. He also gives some hints of an acquaintance with Greek, even to the extent of coining new terms to add to the older tradition. This knowledge was rather rare in his time, especially in northern Europe, and undoubtedly added considerably to his status as a teacher. The music treatise of Adam von Fulda can be valued as a rich commentary on an emerging German Renaissance musical culture and as a unique contribution to musical learning in areas such as counterpoint. Although more research is necessary about his contemporaries and successors in order 11. It must be remembered, however, that clerics writing in the earlier tradition of the monophonic Latin lyric drew on many classical sources as well. to assess fully Adam's position in the history of music theory, De Musica will stand as the vivid reflection of a passionate and learned musical mind, intimately involved with the cultural, social and academic life of his time. BIBLIOGRAPHY Primary Sources: Treatise Editions and Translations Adam von Fulda. De musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.Ill, pp. 329-81. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. Anonymous. Commemoratio brevis de tonis et psalmis modulandis. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.1, pp. 213-29. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . Commemoratio brevis de tonis et psalmis modulandis. Translated and edited by Terence Bailey. Ottawa: University of Ottawa Press, 1979. . Expositiones in Micrologum Guidonis Aretini. Edited by J. Smits van Waesberghe. Amsterdam: North Holland, 1957. . Libellus musicae. Anonymous ex codice Vaticano lat. 5129. Edited by Albert Seay. Corpus Scriptorum de Musica, No. 9. Rome: American Institute of Musicology, 1964. . Musica enchiridias. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.1, pp. 152-73. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . Musica enchiridias. Translated by Leonie Rosenstiel. Colorado College Music Press Translations, No. 7. Colorado Springs: Colorado College Music Press, 1976. . Quatuor principalia musices. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.IV, pp. 201-98. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. 140 . Scholica enchiridias. Edited by Martin Gerbert. In Scriptores ecclesiastic! de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.1, pp. 173-212. St. Blasien, 1784; repr. ed. Hildesheim: Georg Olms, 1963. . Scholica enchiridias. Translated by W. Oliver Strunk. Source Readings in Music History from Classical Antiquity through the Romantic Era. pp. 126-38. New York: Norton, 1950. . Tractatus de musica figurata et de contrapuncto. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.IV, pp. 434-69. Paris: Durand, 1867; repr. ed. Hildesheim: Georg Olms, 1963. Anonymous III. Compendiolum artis veteris ac novae. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 370-75. Paris: Durand, 1867; repr. ed. Hildesheim: Georg Olms, 1963. Anonymous V. Ars cantus mensurabilis mensurata. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 379-98. Paris: Durand, 1867; repr. ed. Hildesheim: Georg Olms, 1963. Anonymous XI. Tractatus de musica plana et mensurabili. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 416-75. Paris: Durand, 1867; repr. ed. Hildesheim: Georg Olms, 1963. . Tractatus de musica plana et mensurabili. Edited and translated by Richard Wingell. "Anonymous XI (CS III): an Edition, Translation and Commentary." Ph.D dissertation, University of Southern California, 1973. Anonymous XII. Tractatus et compendium cantus figurati. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 475-95. Paris: Durand, 1867; repr. ed. Hildesheim: Georg Olms, 1963. . Tractatus et compendium cantus figurati. Edited by Jill Palmer. Corpus Scriptorum de Musica, No. 35. Rome: American Institute of Musicology, 1990. Anonymous Amon. Tractatus de musica cum glossis. Edited by Johann Amon. Der Tractatus de musica cum glossis im Cod. 4774 der Wiener Nationalbibliothek. Tutzing: Hans Schneider, 1977. Anonymous Bartha. [Tractatus]. Edited by D§nes von Bartha. Das Musiklehrbuch einer ungarischen Klosterschule in der Handschrift von Fixrstprimas Szalkai (1490). Budapest: Az Orsz. Szechenyi Konyvtar Kiadasa, 1934. Anonymous Berkeley. The Berkeley Manuscript. Translated and edited by Oliver B. Ellsworth. Greek and Latin Music Theory, edited by Thomas J. Mathiesen and Jon Solomon. Lincoln, Nebraska: University of Nebraska Press, 1984. Anonymous Breslau. Quoniam circa artem musicalis. Edited by Johannes Wolf. ArcMv fur Musikwissenschaft (1918-19): 329-45. Anonymous Kellner. Pra ficili informatione eorum. Edited by P. A. Kellner. "Ein Mensuraltraktat aus der Zeit um 1400." Anzeiger der Osterreichischen Akademie der Wissenschaften, philologisch-historische Klasse 94 (1957):72. Anonymous Leipzig. Introductorium musicae. Edited by Hugo Riemann. Monatshefte fur Musikgeschichte 11-12 (1897):147-64; 1-2 (1898):1-19. Anonymous Melk. Tractulus de cantu mensurali. Edited by F. Alberto Gallo. Corpus Scriptorum de Musica, No. 16. American Institute of Musicology, 1971. Augustine of Hippo. De musica. Edited by J.-P. Migne, Patrologiae cursus completus, omnium SS. Patrum, doctorum scriptorumque ecclesiasticorum... Vol.32, pp. 1081-1194. Turnhout, Belgium: Brepols, 1956-Aurelian of Reome. Musica disciplina. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.I, pp. 27-63. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . The Discipline of Music. Translated by Joseph Ponte. Colorado College Music Press Translations, No. 3. Colorado Springs: Colorado College Music Press, 1968. Berno of Reichenau. Prologus in tonarium. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.II, 62-79. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. Boethius, Anicius Manlius Torquatus Severinus. De institutione musica libri quinque. Edited by Gottfried Friedlein. Leipzig: Teubner, 1867. . Fundamentals of Music. Translated with introduction and notes by Calvin M. Bower, edited by Claude V. Palisca. Music Theory in Translation Series. New Haven, Connecticut: Yale University Press, 1989. Burtius, Nicolaus. Musices Opusculum. Translated by Clement A. Miller. Musicological Studies and Documents, No. 37. Neuhausen-Stuttgart: Hanssler-Verlag, 1983. Carlerius, Egidius. Tractatus de duplici ritu cantus and Tractatus de laude et utilitate musicae. Edited by Albert Seay. Colorado College Music Press Critical Texts, No. 7. Colorado Springs: Colorado College Music Press, 1977. Cassiodorus. De musica. Chapter V of De artibus ac disciplinis liberalium litterarum. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.1, pp. 15-19. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . From the Institutiones. Translated by W. Oliver Strunk. In Source Readings in Music History from Classical Antiquity through the Romantic Era. pp. 87-92. New York: Norton, 1950. Ciconia, Johannes. Nova Musica. Edited and translated by Oliver B. Ellsworth. Greek and Latin Music Theory, edited by Thomas J. Mathiesen and Jon Solomon. Lincoln, Nebraska: University of Nebraska Press, 1994. Cochlaeus, Johannes. Tetrachordum Musices. Introduction, translation and transcription by Clement A. Miller. Musicological Studies and Documents, No. 23. American Institute of Musicology, 1970. Conrad von Zabern. Novellus musicae artis tractatus. Edited by Karl-Werner Giimpel. Die Musiktraktate Conrads von Zabern. Akademie der Wissenschaften und der Literatur: Abhandlungen der Geistes- und Sozialwissenschaftlichen Klasse 1956, Vol. 4. Mainz: Verlag der Wissenschaften und der Literatur, and Wiesbaden: Franz Steiner, 1956. Egidius Zamoriensis. Ars musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 370-93. St. Blasien, 1784; repr. ed. Hildesheim: Georg Olms, 1963. Engelbert of Admont. De musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 287-369. St. Blasien, 1784; repr. ed. Hildesheim: Georg Olms, 1963. Franco of Cologne. Ars cantus mensurabilis. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.1, pp. 117-36. Paris: Durand, 1867; repr. ed. Hildesheim: Georg Olms, 1963. . Ars cantus mensurabilis. Edited by Gilbert Reaney and Andre Gilles. Corpus Scriptorum de Musica, No. 18. American Institute of Musicology, 1974. . Ars cantus mensurabilis. Translated by W. Oliver Strunk. In Source Readings in Music History from Classical Antiquity through the Romantic Era. pp. 139-59. New York: Norton, 1950. Glareanus, Heinrich. Dodecachordon. Translated by Clement A. Miller. Musicological Studies and Documents, no. 6. American Institute of Musicology, 1965. Guido of Arezzo. Micrologus. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 2-24. St. Blasien, 1784; repr. ed. Hildesheim: Georg Olms, 1963. . Micrologus. Edited by Jos. Smits van Waesberghe. Corpus Scriptorum de Musica, No. 4. American Institute of Musicology, 1955. . Micrologus. Translated by Warren Babb. In Hucbald, Guido, and John on Music. Three Medieval Treatises, pp. 57-83, part of Music Theory Translation Series, ed. by Claude V. Palisca. New Haven, Connecticut: Yale University Press, 1978. . Regulae musicae rhythmicae. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 25-34. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. Guillelmus Monachus. De preceptis artis musice et pratice compendiosus libellus. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 273-307. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. . De preceptis artis musice et pratice compendiosus libellus. Edited by Albert Seay. Corpus Scriptorum de Musica, No. 11. n.p.: American Institute of Musicology, 1965. Heyden, Sebald. De Arte Canendi. Translated by Clement A. Miller. Musicological Studies and Documents, No. 26. n.p.: American Institute of Musicology, 1972. Hermannus Contractus. Opuscula musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 125-53. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . Opuscula musica. Translated by Leonard Ellinwood. Musica Hermanni Contract!. Eastman School of Music Studies, No. 2. Rochester: University of Rochester, 1952. Hothby, Johannes. De arte contrapuncti. Edited by Gilbert Reaney. Corpus Scriptorum de Musica, No. 26. Rome: American Institute of Musicology, 1977. Hucbald. Harmonica institutione. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.1, pp. 104-52. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. 145 . Harmonica institutione. Translated by Warren Babb. In Hucbald, Guide-, and John on Music. Three Medieval Treatises, pp. 13-44, part of Music Theory Translation Series, edited by Claude V. Palisca. New Haven, Connecticut: Yale University Press, 1978. Isidore of Seville. Sententiae de musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.1, 19-25. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . from Etymologiarum sive originum. Translated by W. Oliver Strunk. In Source Readings in Music History from Classical Antiquity through the Romantic Era. pp. 93-100. New York: Norton, 1950. Jacques de Liege. Speculum musicae. Edited by Roger Bragard. Corpus Scriptorum de Musica, No. 3. 7 vols, n.p.: American Institute of Musicology, 1955-73. . Tres tractatuli de musica. Edited by J. Smits van Waesberghe, Eddie Vetter & Erik Visser. Divitiae Musicae Artis, A.IXa. Buren: Frits Knuf, 1988. Jehan des Murs (Johannis de Muris). Musica speculativa and Musica practica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.Ill, pp. 249-83, 292-301. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . Musica speculativa. Edited by Christoph Falkenroth. Beihefte zum Archiv fur Musik-Wissenschaft, Vol. 34. Stuttgart: Franz Steiner, 1992. . Notitia artis musicae et Compendium musicae practicae. Edited by Ulrich Michels. Corpus Scriptorum de Musica, No. 17. n.p.: American Institute of Musicology, 1972. Jerome of Moravia. Tractatus de musica. Edited by Simon M. Cserba, O.P. Hieronymus de Moravia O.P., Tractatus de musica. Regensburg: Friedrich Pustet, 1935. . Tractatus de musica. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.1, pp. 1-154. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. Johannes Affligemensis. Musica. Edited by Martin Gerbert. In Scriptores ecclesiastic! de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 230-65. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . Musica. Edited by Jos. Smits van Waesberghe. Corpus Scriptorum de Musica, No. 1. Rome: American Institute of Musicology, 1950. . Musica. Translated by Warren Babb. in Hucbald, Guide-f and John on Music. Three Medieval Treatises, pp. 101-87, part of Music Theory Translation Series, edited by Claude V. Palisca. New Haven, Connecticut: Yale University Press, 1978. Johannes de Garlandia. De musica mensurabili positio. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.1, pp. 97-117. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. Keck, Johannes. Introductorium musicae. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.Ill, pp. 319-29. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. Keinspeck, Michael. Lilium musicae planae. Edited by Winfried Ammel. Michael Keinspeck und sein Musiktraktat "Lilium Musicae Planae" Basel 1496. Marburg: Gorich & Weierhauser, 1970. Le Munerat, Jean. De moderatione et concordia grammatice et musice. Edited by Don Harran. In Defense of Music: The Case for Music as Argued by a Singer and Scholar of the Late Fifteenth Century. Lincoln: University of Nebraska Press, 1989. Lambertus (Cujusdam Aristotelis). Tractatus de musica. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.1, pp. 251-81. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. Listenius, Nikolaus. Musica. Translated by Albert Seay. Part of Colorado College Music Press Series. Colorado Springs, Colorado: Colorado College Music Press, 1975. . Musica, ab authore denuo recognita, Norimbergae 1549. Facsimile edition, edited by Georg Schiinemann. Veroffentlichungen der Musik-bibliothek Paul Hirsch, No. 8. Berlin: Verlag von Martin Breslauer, 1927. Marchetto of Padua. The Lucidarium of Marchetto of Padua. A Critical Edition, Translation and Commentary. Edited by Jan W. Herlinger. Chicago: University of Chicago Press, 1985. Oridryus, Johannes. Practicae musicae utriusque praecepta brevia. Edited by Renate Federhofer-K6nigs. Beitrage zur rheinischen Musikgeschichte, Heft 24. Cologne: Arno Volk, 1957. Perseus and Petrus (Attributed to Jehan des Murs). Summa musice. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.III. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. . The Summa Musice: A Thirteenth-century Manual for Singers. Edited, with translation and introduction by Christopher Page. Cambridge: Cambridge University Press, 1991. Person, Gobelinus. Tractatus musicae scientiae. Edited by H. Miiller. "Der Tractatus musicae Scientiae des Gobelinus Person (1358-1421)." Kirchenmusikalisches Jahrbuch XX (1907):177-96. Philippi de Vitriaco. Liber musicalium. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 35-46. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. Prosdocimus de Beldemandis. Brevis summula proportionem quantum ad musicam pertinet and Parvus tractatulus de modo monacordum dividendi. A new critical text and translation....by Jan Herlinger. Greek and Latin Music Theory, edited by Thomas J. Mathiesen and Jon Solomon.Lincoln: University of Nebraska Press, 1987. . Contrapunctus; a new critical text and translation... by Jan Herlinger. Greek and Latin Music Theory, edited by Thomas J. Mathiesen and Jon Solomon. Lincoln, Nebraska: University of Nebraska Press, 1984. 148 Pseudo-Odo. Dialogus de musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.III. St. Blasien, 1784; repr. ed. Hildesheim: Georg Olirts, 1963. . Dialogus de musica. Translated by W. Oliver Strunk. In Source Readings in Music History from Classical Antiquity through the Romantic Era. pp. 103-20. New York: Norton, 1950. Ramos de Pareja, Bartolomeo. Musica Practica Bartolomei Rami de Pareia Bononiae. Edited by Johannes Wolf. Leipzig: Breitkopf und Hartel, 1901. . Musica Practica. Commentary and translation by Clement A. Miller. Musicological Studies and Documents, No. 44. Neuhausen-Stuttgart: Hanssler-Verlag, 1993. Rhau, Georg. Enchiridion utriusque musicae practicae (musica plana). Facs. ed. Kassel: Barenreiter, 1951. Sadze, Christianus. Tractatus modi, temporis et prolationis. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.Ill, pp. 264-73. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. Salomonis, Elias. Scientia artis musicae. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.Ill, pp. 16-64. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. Schanppecher, Melchior. Opus aureum, pars III/TV (Koln, 1501). Edited by Klaus Wolfgang Niemoller. Die Musica figurativa des Melchior Schanppecher. Beitrage zur rheinischen Musikgeschichte. Vol. 50. Cologne: Staufen, 1961. Theogerus of Metz. Musica. Edited by Martin Gerbert. In Scriptores ecclesiastici de musica sacra potissimum ex variis Italiae, Galliae et Germaniae codicibus manuscriptis collecti et nunc primum publica luce donati. Vol.11, pp. 183-96. St. Blasien, 1784; repr. ed. Hildesheim: Georg 01ms, 1963. Tinctoris, Johannes. Liber de arte contrapuncti. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.IV, pp. 76-153. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. . The Art of Counterpoint. Translated by Albert Seay, Musicological Studies and Documents, No. 5. Rome: American Institute of Musicology, 1961. . Diffinitorium musicae. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.IV, pp. 177-91. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. A Dictionary of Musical Terms. Translated by Carl Parrish. London: Free Press, 1963; repr. ed., New York: Da Capo Press, 1978. . Liber de natura et proprietate tonorum. Edited by Edmond de Coussemaker. In Scriptorum de musica medii aevi novam seriem a Gerbertiana alteram. Vol.IV, pp. 16-41. Paris: Durand, 1867; repr. ed. Hildesheim: Georg 01ms, 1963. Ugolino of Orvieto. Declaratio musicae disciplinae. Edited by Albert Seay. Corpus Scriptorum de Musica, No. 7. Rome: American Institute of Musicology, 1959. Walsingham, Thomas. Regulae de musica mensurabili. Edited by Gilbert Reaney. Corpus Scriptorum de Music, No. 31. n.p.: American Institute of Musicology, 1983. Wollick (Volcyr, Wolquier), Nicolaus. Enchiridion musices. Paris, 1512; facsimile edition, Geneva: Minkoff, 1972. . Opus aureumf pars I/II (Koln, 1501). Edited by Klaus Wolfgang Niemoller. Die Musica Gregoriana des Nicolaus Wollick. Beitrage zur rheinischen Musikgeschichte. Vol. 11. Cologne: Staufen, 1955. 150 Secondary Sources Abert, Hermann. Die Musikanschauung des Mittelalters und ihre Grundlagen. Tutzing: Hans Schneider, 1964; repr. of 1905 ed. Ambros, August Wilhelm. Geschichte der Musik, 5 vols. Leipzig: F. E. C. Leuckart, 1880. Apel, Willi. Gregorian Chant. Bloomington, Indiana: Indiana University Press, 1958. Apfel, Ernst. Diskant und Kontrapunkt in der Musiktheorie des 12. bis 15. Jahrhunderts. Wilhelmshaven: Heinrichshofen, 1982. . Geschichte der Kompositionslehre von den Anfangen bis gegen 1700. Taschenbiicher zur Musikwissenschaft, Vols. 75-77. Wilhelmshaven: Heinrichshofen, 1981. Atcherson, Walter Thomas. "Modal Theory of Sixteenth-Century German Theorists." Ph.D. dissertation, Indiana University, 1960. Bank, J. A. Tactus, Tempo and Notation in Mensural Music from the 13th to the 17th Century. Amsterdam: Annie Bank, c.1972. Barbera, Andre. "The Consonant Eleventh and the Expansion of the Musical Tetractys." Journal of Music Theory 28 (1984):191-223. Barbour, J. Murray. Tuning and Temperament. A Historical Survey. 2nd ed. East Lansing, Michigan: Michigan State College Press, 1953. Bartha, Denes v. "Studien zuni musikalischen Schriftum des 15. Jahrhunderts." Archiv fur Musikforschung I (1936):59-82, 176-199. Bent, Margaret. "Diatonic Ficta." Early Music History, Vol. 4. Studies in Medieval and Early Modern Music, edited by Iain Fenlon. Cambridge: Cambridge University Press, 1984. pp. 1-48. . "Musica Recta and Musica Ficta." Musica Disciplina 26 (1972):73-100. Berger, Karol. Musica Ficta. Theories of Accidental Inflections in Vocal Polyphony from Marchetto da Padova to Gioseffo Zarlino. Cambridge: Cambridge University Press, 1987. 151 . "The Hand and the Art of Memory." Musica Disciplina XXXV (1981):87-120. Besseler, Heinrich. Bourdon und Fauxbourdon. Leipzig: Breitkopf & Hartel, 1950. 2nd ed. revised by Peter Giilke. Leipzig: Breitkopf & Hartel, 1974. Blackburn, Bonnie J., Edward E.Lowinsky, and Clement A. Miller, editors. A Correspondence of Renaissance Musicians. Oxford: Clarendon Press, 1991. Blume, Friedrich. Renaissance and Baroque Music. A Comprehensive Survey. Translated by M.D. Herter Norton. New York: W.W. Norton, 1967. Boetticher, Wolfgang. "Germany: 1300-1600." Music from the Middle Ages to the Renaissance. Edited by F. W. Sternfeld. London: Weidenfeld and Nicolson, 1973, pp. 346-53. Borren, Charles van den. Le Manuscrit Musical M.222 C.22 de la Bibliotheque de Strasbourg. Antwerp: E. Secelle, 1924. Bowen, William R. "St. Augustine in Medieval and Renaissance Musical Science." in Augustine on Music. An Interdisciplinary Collection of Essays. Edited by Richard R. La Croix. Studies in the History and Interpretation of Music, Vol 6. Lewiston, New York: Edwin Meller Press, 1988. pp. 29-51. Bower, Calvin. "Boethius and Nicomachus: An Essay Concerning the Source of De institutione musica." Vivarium: An International Journal for the Philosophy and Intellectual Life of the Middle Ages and Renaissance 16 (1978):l-45. Brown, Howard Mayer. Music in the Renaissance. Englewood Cliffs, New Jersey: Prentice-Hall, 1976. Buelow, George F. "Music, Rhetoric and the Concept of the Affections: a Selective Bibliography." Notes 30 (1973-74):250-59. Bukofzer, Manfred F. "Fauxbourdon Revisited." Musical Quarterly 38 (1952):22-47. Carpenter, Nan Cooke. Music in the Medieval and Renaissance Universities. Norman, Oklahoma: University of Oklahoma Press, 1958. Choron, Alexandre E., and Fayolle, F. J. M. Dictionnaire historique des musiciens, 2 vols. Paris: Valade, 1810. Crocker, Richard L. "Discant, Counterpoint, and Harmony." Journal of the American Musicological Society XV (1962):1-21. . "Hermann's Major Sixth." Journal of the American Musicological Society 25 (1972):19-37. . "A New Source for Medieval Music Theory." Acta Musicologica XXXIX (1967):161-171. . "Pythagorean Mathematics and Music." Journal of Aesthetics and Art Criticism XXII (1963):189-198, 325-335. Denecke, Ludwig, and Engel, Hans. "Adam von Fulda." Die Deutsche Literatur des Mittelalters. Verfasserlexikon. Edited by Wolfgang Stammler. Berlin: Walter de Gruyter, 1933, 1:9-15. Drake, Stillman. "Renaissance Music and Experimental Science." Journal of the History of Ideas XXXI (1970):483-500. Eggebrecht, Hans Heinrich, ed. Handworterbuch der musikalischen Terminologie. Wiesbaden: Franz Steiner Verlag, 1977. , and Fritz Reckow. "Das Handworterbuch der musikalischen Terminologie." Archiv fur Musikwissenschaft XXV (1968):241-277; XXVII (1970):214-222. Ehmann, Wilhelm. Adam von Fulda als Vertreter der ersten deutschen Komponistengeneration. Berlin: Junker & Dunnhaupt, 1936. . "Das Schicksal der deutschen Reformationsmusik in der Geschichte der musikalischen Praxis und Forschung." Monatsschrift fur Gottesdienst und Kirchliche Kunst XL (1935):18-79. Eitner, Robert. Biographisch-bibliographisches Quellen-lexikon. Leipzig: Breitkopf & Hartel, 1900; repr. ed. Graz: Akademische Druck- und Verlagsanstalt, 1959. . "Das alte deutsche mehrstimmige Lied und seine Meister." Monatshefte fur Musik-Geschichte 25, No. 11 (1893):183-184. Elders, Willem. "Humanism and Music in the Early Renaissance." in Report of the Twelfth I.M.S. Congress. Berkeley 1977. Edited by Daniel Heartz and Bonnie Wade. Kassel: Barenreiter, 1981, pp. 883-93. Ellsworth, Oliver B. "Contrapunctus and Discantus in Late Medieval Terminology." Saints Scholars and Heroes. Studies in Medieval Culture in Honour of Charles W. Jones. Vol. 2. Carolingian Studies. Ed. by Margot H. King and Wesley M. Stevens. Collegeville, Minnesota: Hill Monastic Manuscript Library, Saint John's Abbey and University, 1979. pp. 105-112. . "The Origin of the Coniuncta: A Reappraisal." Journal of Music Theory 17 (1973):86-109. Erbacher, Rhabanus. Tonus Peregrinus: aus der Geschichte eines Psalmtons. Miinsterschwarzach: Vier-Tiirme-Verlag, 1971. Fallows, David. Dufay. London: J. M. Dent and Sons, 1982. Feldmann, Fritz. "Musiktheoretiker in eigenen kompositi-onen." Deutsches Jahrbuch der Musikwissenschaft I (1956):39-65. Ferand, Ernest T. "Guillaume Guerson's Rules of Improvised Counterpoint (c. 1500)" in Miscelanea en homenaje a Monsenor Higinio Angles. Barcelona: Consejo Superior de Investigaciones Cientificas, 1958-61, pp. 253-63. Fetis, F. J.. Biographie Universelle des Musiciens. 2nd ed. Paris: Firmin Didot, 1868. Forkel, Johann Nikolaus. Allgemeine Literatur der Musik, 2 vols. Leipzig: Schwikertschen, 1792; facsimile edition Hildesheim: Georg 01ms, 1962. Gallo, F. Albert. "Alcune fonti poco note di musica teorica e pratica." L'Ars Nova Italiana del Trecento. Convegni di studio 1961-1967. Ed. be F. Gallo. Certaldo: Centro di Studi sull' Ars Nova Italiana del Trecento, 1970. pp. 187-202. "Philological Works on Musical Treatises of the Middle Ages." Acta Musicologica XLIV (1972):78-101. Gaspari, Gaetano. Catalogo della biblioteca del Liceo musicale di Bologna, vol. 1. Bologna: Libreria Romagnolli dall'Acqua, 1890. Gerber, Ernst Ludwig. Historisch-biographisches Lexikon der Tonkiinstler. Leipzig: Breitkopf, 1790; facsimile edition edited by Othmar Wessely, Graz: Akademische Druck- und Verlaganstalt, 1976. 154 . Neues historisch-biographisches Lexikon der Tonkiinstler. Leipzig: Kuhnel, 1812; facsimile edition edited by Othmar Wessely, Graz: Akademische Druck- und Verlaganstalt, 1966. Gerber, Rudolf. Der Mensuralcodex des Nikolaus Apel. Das Erbe deutscher Musik, vols. 32-33. Kassel: Barenreiter, 1956. Gerbert, Martin. De Cantu et Musica Sacra a Prima Ecclesiae Aetate usque ad Praesens Tempus. Monasterium Sancti Blasii, 1774; repr. ed. Graz: Akademische Druck-u. Verlagsanstalt, 1968. Gerson, Jean. Oeuvres Completes. Edited by Mgr. Glorieux. Vol. IV: L'Oeuvre Poetique. Tournai: Desclee & Co., 1962. Gurlitt, Wilibald. "Johannes Walter und die Musik der Reformationszeit." Luther-Jahrbuch XV (1933):1-112. . "Die Kompositionslehre de deutschen 16. und 17. Jahrhunderts." Gesellschaft fur Musikforschung. Bericht uber den Internationalen Musikwissenschaft-lichen Kongress. Bamberg, 1953, pp. 103-113. . "Ein Lutticher Beitrag zur Adam von Fulda-Frage." Report of the First Congress of the International Society for Music Research, Liege, 1930. Burnham, Bucks.: Plainsong and Medieval Music Society, 1930. pp. 125-131. Gushee, Lawrence A. "Questions of Genre in Medieval Treatises on Music." Gattungen der Musik in Einzeldarstellungen. Gedenkschrift Leo Schrade. Bern: Francke Verlag, 1973, pp. 365-433. Gysin, Hans Peter. Studien zum Vokabular der Musiktheorie im Mittelalter: Eine linguistische Analyse. Ph.D. dissertation, University of Basel, 1958. Amsterdam: Frits Knuf, 1958. Hawkins, Sir John. A General History of the Science and Practice of Music. London, 1776; repr. ed. London: Novello, Ewer and Co., 1875. Heckmann, Harald, ed. Deutsches Musikgeschichtliches Archiv Kassel. Band I-. Kassel: Barenreiter, 1963-. Heidrich, Jiirgen. Die deutschen Chorbiicher aus der Hofkapelle Friedrichs des Weisen. Ein Beitrag zur mitteldeutschen geistlichen Musikpraxis urn 1500. Baden-Baden: Verlag Valentin Koerner, 1993. Herlinger, Jan. "Fractional Divisions of the Whole Tone." Music Theory Spectrum III (1981):74-83. Hughes, Andrew. Manuscript Accidentals: Ficta in Focus 1350-1450. Musicological Studies and Documents No. 27. n.p.: American Institute of Musicology, 1972. . Medieval Music. The Sixth Liberal Art. Toronto: University of Toronto Press, 1974. Huglo, Michel. "L'auteur du "Dialogue sur la musique" attribue a Odon." JRevue de musicologie 55 (1969); 119-71. . "Bibliographie des editions et etudes relatives a la th^orie musicale du Moyen Age (1972-1987)." Acta Musicologica LX (1988):229-72. . Les Tonaires: Inventaire, Analyse, Comparaison. Paris: Heugel et Cie., 1971. Kassler, Jamie Croy. "Music as a Model in Early Science." History of Science XX (1982):103-139. Kinkeldey, Otto. "Music and Music Printing in Incunabula." Papers of the Bibliographical Society of America 26 (1932):89-118. Kristeller, Paul Oskar. Jter Italicum; a Finding List of Uncatalogued or Incompletely Catalogued Humanistic Manuscripts of the Renaissance in Italian and Other Libraries. London: Warburg Institute, 1963-. . Renaissance Thought. The Classic, Scholastic, and Humanistic Strains. New York: Harper and Brothers, 1961. . Renaissance Thought II. Papers on Humanism and the Arts. New York: Harper Torchbooks, 1965. Kiimmerle, Salomon. Encyklopaedie der evangelischen Kirchenmusik, 4 vols. Gutersloh: Bertelsmann, 1888. La Page, Adrien de. Essais de Diphtherographie Musicale. Paris, 1864. repr. Amsterdam: Frits A. M. Knuf, 1964. Lippman, Edward A. Musical Thought in Ancient Greece. New York: Columbia University Press, 1964. . "The Place of Music in the System of Liberal Arts." Aspects of Medieval and Renaissance Music. A Birthday Offering to Gustave Reese. Edited by Jan LaRue. New York: Pendragon, 1966. pp. 545-559. Lowinsky, Edward E. "The Concept of Physical and Musical Space in the Renaissance (A Preliminary Sketch)." Papers of the American Musicological Society, Annual Meeting, 1941. Minneapolis, Minnesota. Edited by Gustave Reese, n.p.: American Musicological Society, 1946. pp. 57-84. Also found in Edward E. Lowinsky, Music in the Culture of the Renaissance and Other Essays, 2 vols. Edited with introduction by Bonnie J. Blackburn and foreward by Howard Mayer Brown and Ellen T. Harris. Chicago: University of Chicago Press, 1989, 1:6-18. . "Humanism in the Music of the Renaissance." Medieval and Renaissance Studies. Proceedings of the Southeastern Institute of Medieval and Renaissance Studies. Summer, 1978. Edited by Frank Tirro. Durham, North Carolina: Duke University Press, 1982. pp. 87-220. . "Music in the Culture of the Renaissance." Journal of the History of Ideas XV (1954):509-53. . "Music of the Renaissance as Viewed by Renaissance Musicians." The Renaissance Image of Man and the World. Edited by Bernard O'Kelly. Columbus, Ohio: Ohio State University Press, 1966. Meier, Bernhard. The Modes of Classical Vocal Polyphony. Translated by Ellen S. Beebe. New York: Broude Brothers, 1988. Mendel, Hermann. Musikalisches Conversations-Lexikon, 11 vols. Berlin: L. Heimann, 1870. Meyer-Baer, Kathi. Music of the Spheres and the Dance of Death. Studies in Musical Iconology. Princeton, New Jersey: Princeton University Press, 1970. Migne, J.-P. Patrologiae cursus completus, omnium SS. Patrum, doctorum scriptorumque ecclesiasticorum... Turnhout, Belgium: Brepols, 1956- . Morrall, John B. Gerson and the Great Schism. Manchester: Manchester University Press, 1960. Moser, Hans Joachim. "Leben und Lieder des Adam von Fulda." Jahrbuch der Staatlichen Akademie fur Kirchen- und Schulmusik Berlin I (1927-28):7-48. . Musik Lexikon. 4th ed. 2 vols. Berlin: Max Hesse, 1955. . Paul Hofhaimer. Stuttgart: J. G. Cotta, 1929; reprint edition, Hildesheim: Georg 01ms, 1966. Moyer, Ann E. Musica Scientia: Musical Scholarship in the Italian Renaissance. Ithaca: Cornell University Press, 1992. Niemann, W. "Studien zur Musikgeschichte des XV. Jahr-hunderts." Kirchenmusikaliches Jahrbuch XVII (1902): 1-46. Niemoller, K. W. Untersuchungen zu Musikpflege und Musik-unterricht an den deutschen Lateinschulen vom aus-gehenden Mittelalter bis um 1600. Regensburg: Gustav Bosse, 1969. . "Zum Einfluss des Humanismus auf Position und Konzeption von Musik im deutschen Bildungssystem der ersten Halfte des 16. Jahrhunderts." Musik in Humanismus und Renaissance. Edited by Walter Ruegg and Annegrit Schmitt. Mitteilung der Kommission fur Humanismusforschung, Vol. 7. Edited by Deutsche Forschungsgemeinschaft. Weinheim: Acta humaniora der Verlag Chemie, 1983. pp. 77-97. Oesch, Hans. Guido von Arezzo. Bern: Paul Haupt, 1954. Orban, A. P., editor. Polythecon. Corpus Christianorum Continuatio Medievalis XCIII. Turnholti: Brepols, 1990. Page, Christopher. "Musicus and Cantor." Companion to Medieval and Renaissance Music, edited by Tess Knighton and David Fallows. London: J. M. Dent and Sons, Ltd., 1992. pp. 74-78. Palisca, Claude V. "Boethius in the Renaissance." Music Theory and Its Sources: Antiquity and the Middle Ages. Edited by Andre Barbera. Notre Dame Conferences in Medieval Studies, Vol. 1. Notre Dame, Indiana: University of Notre Dame Press, 1990. pp. 259-80. . Humanism in Italian Renaissance Musical Thought. New Haven: Yale University Press, 1985. . "The Impact of the Revival of Ancient Learning on Music Theory." Report of the Twelfth I.M.S. Congress. Berkeley 1977. Edited by Daniel Heartz and Bonnie Wade. Kassel: Barenreiter, 1981, pp. 870-83. Parrish, Carl. "A Renaissance Music Manual for Choirboys." Aspects of Medieval and Renaissance Music. A Birthday Offering to Gustave Reese. Edited by Jan LaRue. New York: Pendragon Press, 1966. pp. 657-58. Paul, Oscar. Handlexikon der Tonkunst. Leipzig, 1873. 158 Pesce, Dolores. The Affinities and Medieval Transposition. Bloomington: Indiana University Press, 1987. Petzsch, Christoph. "Glareans lateinische Textparodie zum 'Ach hiilff mich leid' des Adam von Fulda." Die Musikforschung XI (1958):483-87. . "Die rhythirdsche Struktur der Liedtenores des Adam von Fulda." Archiv fur Musikwissenschaft XV (1958): 143-50. Phillips, Nancy. "Classical and Late Latin Sources for Ninth-Century Treatises on Music." Music Theory and Its Sources: Antiquity and the Middle Ages. Edited by Andre Barbera. Notre Dame Conferences in Medieval Studies, Vol. 1. Notre Dame: University of Notre Dame Press, 1990. pp. 100-35. Pietzsch, Gerhard. Die Klassifikation der Musik von Boethius bis Ugolino von Orvieto. Studien zur Geschichte der Musiktheorie im Mittelalter I. Libelli, Vol. 236. Halle a.d. Saale: Max Niemeyer, 1929; reprint edition, Darmstadt: Wissenschaftliche Buchgesellschaft, 1968. . Zur Pflege der Musik an den deutschen Universitaten bis zur Mitte des 16. Jahrhunderts. Hildesheim: Georg 01ms, 1971. Pirrotta, Nino. Music and Culture in Italy from the Middle Ages to the Baroque. Cambridge, Mass.: Harvard University Press, 1984. Praetorius, Ernst. Die Mensuraltheorie des Franchinus Gafurius und der folgenden Zeit bis zur Mitte des 16. Jahrhunderts. Publikationen der Internationalen Musikgesellschaft, Vol. 2. Leipzig: Breitkopf & Hartel, 1905; reprint edition, Wiesbaden: Dr. Martin Sandig, 1970. Reaney, Gilbert. "Introduction." Johannes Hothby De arte contrapuncti. Corpus Scriptorum de Musica, No. 26. American Institute of Musicology, 1977. . "The Manuscript Transmission of Hothby's Theoretical Works." A Festschrift for Albert Seay. Essays by his Friends and Colleagues. Edited by Michael D. Grace. Colorado Springs: Colorado College, 1982. . "Musical Theory of John Hothby." J?evue Beige de Musicologie XLII (1988) .-119-33. . "The Question of Authorship in the Medieval Treatises on Music." Musica Disciplina XVIII (1964): 7-17. 159 Reese, Gustave. Music in the Middle Ages. New York: W.W. Norton, 1940. . Music in the Renaissance. New York: W.W. Norton, 1954. Reissmann, August. Illustrierte Geschichte der deutschen Musik. 2nd ed. Leipzig: Fues's verlag, 1892. Riemann, Hugo. Handbuch der Musikgeschichte. Zweiter Band. Erster Teil. Das Zeitalter der Renaissance (bis 1600). Zweite, Durchgesehene Auflage. Leipzig: Breitkopf & Hartel, 1920. . History of Music Theory Books I and II. Polyphonic Theory to the Sixteenth Century. Translated by Raymond H. Haggh. Lincoln, Nebraska: University of Nebraska Press, 1962. . "Der Mensural-Codex des Magister Nikolaus Apel von Konigshofen." Kirchenmusikalisches Jahrbuch 22 (1897): 5-6. . Musiklexikon. 12th ed. Edited by Wilibald Gurlitt. 3 vols. Mainz: B. Schott's Sonne, 1959. Ristory, Heinz. "Die Mensurallehre des Simon de Quercu (Parts I & II)." Musiktheorie 6 (1991):3-28, 103-127. Rivera, Benito. "Harmonic Theory in Musical Treatises of the Late Fifteenth and Early Sixteenth Centuries." Music Theory Spectrum I (1979):80-95. Sachs, Klaus-Jurgen. Der Contrapunctus im 14. und 15. Jahrhundert. Beihefte zum Archiv fur Musikwissen-schaft. Bd. XIII. Wiesbaden: Franz Steiner, 1974. Schering, Arnold. Studien zur Musikgeschichte der Friihrenaissance. Leipzig: C. F. Kahnt, 1914. Schilling, Gustav. Encyclopaedie der Gesammten Musikalischen Wissenschaften. 6 vols. Stuttgart: Franz Heinrich Kohler, 1835. Schnoebelen, Anne. Padre Martini's Collection of Letters. New York: Pendragon, 1979. Schueller, Herbert M. The Idea of Music. An Introduction to Musical Aesthetics in Antiquity and the Middle Ages. Kalamazoo, Michigan: Medieval Institute, Western Michigan University, 1988. Smits van Waesberghe, Joseph, ed. Repertoire International des Sources Musicales, B/III, vol. 1. Munchen-Duisberg: G. Henle, 1961. Staehelin, Martin. "Bemerkungen zum verbrannten Manuskript Strassburg M.222 C.22." Die Musikforschung 42 (1989): 2-20. Stainer, J. F. R. and C. Dufay and His Contemporaries. London: Novello, 1898. Steblin, Rita. A History of Key Characteristics in the Eighteenth and early Nineteenth Centuries. Studies in Musicology, No. 67. Edited by George Buelow. Ann Arbor, Michigan: UMI Research Press, c. 1983. Trumble, Ernest Lorenz. Fauxbourdon; an historical survey. Brooklyn: Institute of Medieval Music, 1959. . "Early Renaissance Harmony." Ph. D. dissertation, Indiana University, 1954. Vivell, P. Coelestinus. Initia Tractatum Musices ex Codicibus Editorum. Graz: Moser, 1912; repr. ed. Geneva: Minkoff, 1979. Walker, D. P. "Musical Humanism in the 16th and Early 17th Centuries." Music Review II (1941):1-13, 111-121, 220-227, 288-303; III (1942):55-71. . Studies in Musical Science in the Late Renaissance. London, Warburg Institute, 1978. Walther, Johann Gottfried. Musikalisches Lexikon. Leipzig: Wolffgang Deer, 1732; facsimile edition edited by Richard Schaal, Kassel: Barenreiter, 1953. Zager, Daniel. "From the Singer's Point of View: A Case Study in Hexachordal Solmization as a Guide to Musica Recta and Musica Ficta in Fifteenth-Century Vocal Music." Current Musicology XLIII (1987): 7-21. APPENDIX A Summary of Contents of De Musica Dedication Dedication to Joachim Luntaler Circumstances of writing of treatise (Narratio in praesens) Book I Prologue Apologies for and fears about writing on music Criticisms of musicians with quoted support Incipit Dedication to Holy Trinity Author's reliance on "Boethius and others" Summary of treatise contents Chapter 1 Definition of music Twofold nature of music: "mundana" and "humana" Types of "artificial" music (instrumental, vocal) Chapter 2 Music as a liberal art Uses and effects of music Chapter 3 Negative aspects of music Chapter 4 Usefulness of music to the state Chapter 5 Usefulness of music in sacred praise Chapter 6 Praise of music and its good effects Examples in the church Chapter 7 Discoverers of music (Narratio in praesens) 162 Book II Prologue Use of ancient writers Teaching, learning, use of examples Learning from experience and continuing learning Proposal to review plainsong, based on Boethius and Guido Chapter 1 Seven basic terms of music Ancient range of notes Additions of Guido and moderns (Dufay) Debates regarding monochord division The hand ("Manus") Chapter 2 Definition of "Cantus"; hexachords Origins of church singing Chapter 3 Definition of "Vox" Types of sound production Discussion of "Symphonia" Chapter 4 Definition of "Clavis" Chapter 5 Definition of "Mutatio" "Extrinseca" and "Intrinseca" mutation Chapter 6 Size of semitone Criticism of musicians (Andrechin) Division of tone by reason Use of reason by Boethius Three types of music: instrumental, sung, speculative Decline of modern music Lack of respect for masters Chapter 7 Definition of "Modus" Types of intervals Names of intervals Chapter 8 Greek note names Expansion of range (Dufay) Chapter 9 Criticism of musicians who do not continue to learn Origins of Greek notes Greek names for added notes Chapter 10 Types of consonances Diatessaron as "semidissonance" "Symphonia": "arsis" and "thesis" Need for rules; poor practices of instrumentalists and singers Chapter 11 Ten rules of composition (counterpoint) Chapter 12 Necessity for composers to know music as well as singing Need to explore possibilities and avoid obscurity Chapter 13 Definition of "Tonus"; the eight tones "Differentiae" and their necessity Chapter 14 Form of the tones: initials and finals Chapter 15 Character and range of tones Four tones of the ancients Chapter 16 Place of semitone in the tones Mistaken usage of the tones Chapter 17 "Peregrinus" tone Transposition of tones (Narratio in praesens) Book III Prologue Invention of cithara; Mercury and Orpheus Use of music to praise God, compared to heathens Chapter 1 Introduction to mensural music First steps of music: mode, tempus, prolation Twelve subdivisions Chapter 2 Definition of "Figura" Eight shapes (vs. five of ancients) Shapes of notes Chapter 3 Definition of "Modus" Major and minor mode Chapter 4 Definition of "Tempus" Perfect and imperfect tempus Chapter 5 Definition of "Prolatio" Major and minor prolation Chapter 6 Definition of "Signum" Chart of signatures Chapter 7 Definition of "Tactus" Chart of examples Chapter 8 Definition of "Punctus" Three points (vs. six of ancients) Points of division, addition, perfection Chapter 9 Definition of "Tractus" Notes and pauses Seven types of pause Chapter 10 Drawing of notes Colour Chapter 11 Ligatures: ascending and descending Types and values of ligatures Chapter 12 Definition of "Alteratio" Alteration in mode, tempus, prolation General rule Chapter 13 Definition of "Imperfectio" Imperfection in mode, tempus, prolation Conclusion Dedications of various works (Narratio in sequens) Book IV. Proportions and Consonance Prologue Discovery of proportions in sound: Jubal, Pythagoras Primacy of reason over senses Experiments of Pythagoras Consonances as proportions Chapter 1. About Ratios Types of ratios Arithmetic, geometric and harmonic means Chapter 2 Even and odd numbers Types of even and odd numbers Chapter 3 Five categories of number or ratio Rational and irrational ratios Equality and inequality Chapter 4 Eight musical ratios Combinations of ratios and intervals Chapter 5 Superparticular ratios Proof that superparticulars have no mean Chapter 6 Superpartient ratios Debate regarding fourth as a consonance Sesquioctave ratio and the tone Chapter 7 Division of the tone: constituent intervals Definitions and charts Chapter 8 Distortions by musicians Connections of ratios with signatures Musical examples Conclusion Summary of contents Dedication Conclusion of the Treatise APPENDIX B Translation of De Musica, Book II The Latin text is based on Gerbert's edition in Scriptores Ecclesiastici de Musica Sacra Potissimum, Vol III, pages 341-358. Gerbert's footnotes are shown within the Latin text in square brackets identified with the abbreviation "G". Gerbert's page numbers also occur within square brackets. Significant differences in the Bologna manuscript are indicated within square brackets in the Latin text, identified by "Bol". Since no symbol is available for square B (B-natural), "#" will be used. The entire gamut of Guido is shown as follows: T A B C D E F G a b c d e f g a a b b c c d d , with possible alternatives of # and ## for b and bb. Charts and diagrams from both Gerbert's edition and the Bologna manuscript appear in Appendix C. 168 [341] ADAE DE FULDA MUSICI IN PARTEM SECUNDAM PRAEFATIUNCULA INCIPIT FELICITER Prologus. A SHORT PREFACE TO THE SECOND PART BY ADAM OF FULDA, MUSICIAN, BEGINS FAVOURABLY Prologue. We believe there to be diverse studies by men, in which they reach others by their writings, and each tries as he is best able to adorn his poetry. If I bear before the public fables or stories of poets or antiquity, I do not think that I have removed anything by my citings of examples or very true stories. The custom is to relate like with like, so that, since books of poets and philosophers agree with this our art through all fables and stories, we do not fear to bring in old tales and fables of poets for the greater celebrity of the art. Credimus diversa fore hominum studia, quibus aliis sua scripta insinuant, ac quisquis, quo melius valet, poemata 5 exornare conatur sua. Ego si poetarum antiquitatisve fabulas aut historias in medium fero, non tamen meis exemplificationibus aut 10 verissimis historiis detraxisse quidquam puto. Mos est paribus paria referre, quo fit, ut cum poetarum libri 15 philosophorumque per omnes fabulas aut historias huic nostrae concordant arti, non veremur inducere historias veteres & 20 poetarum fabulas pro maiori artis notitia. De Musica, Book II 169 Attentos enim auditores facimus, ait Tullius, si ea, quae dicturi sumus, 25 nova & magna ac utilia esse demonstramus; excellentissimum enim genus docendi est exemplorum positio, ut ait Varro; sed 30 veris, non fictis modo introductis uti libet. Boetio fidem dabimus: hunc quasi ducem omnes alii imitati sunt, licet aliquid 35 aliquando apposuerint, Marci Varronis sententiae memores, qui dicit: nil magnificum docebit, qui a se nihil invenit: utere 40 inventis, labora pro inveniendis; non enim tam laudabile est invenisse, quam invenire, hoc enim alienum, id proprii muneris 45 est. Si vis doceri, doce, & carens praeceptoribus exercitatione doceris. Quae nosti, construe lectionibus, quae vero 50 nondum didicisti, disciplinis adquire, ait Isocrates. We make attentive listeners, then, says Tullius, if we show that what we are about to say is new, great, and useful;1 the most excellent way of teaching is by the giving of examples, as Varro says;2 but it is preferable to use true [examples], not made-up ones just brought in. We will give trust to Boethius; all the others imitated him as a leader, although sometimes they have added something, being mindful of the opinion of Marcus Varro, who says: he will teach nothing wonderful who discovers nothing for himself;3 use what has been discovered, strive for what needs to be discovered; it is not as praiseworthy to have discovered as to discover; the former is a gift of someone else, the latter one's own.4 If you wish to be instructed, teach, and lacking teachers you will be taught by practice. What you know, build up from readings; what you have not yet learned, acquire from instruction, says Isocrates.5 1. 3. 4. Cicero, Ad Herennium, I. IV. 7: "Adtentos habebimus, si pollicebimur nos de rebus magnis, novis, inusitatis verba facturos...." Actually Pseudo-Varro; Sententiae Varronis ad Papirianum Athenis audientem, 46. "Elucentissimum est edocendi genus " See Peter Germann, Die sogenannten (Paderborn: Ferdinand Schoningh, 1910), exemplorum subditio. Sententiae Varronis p. 33. Sententiae Varronis, 67. "Nil magnificum docebit, qui a se nil didicit." Germann, p. 35. Also probably from Sententiae Varronis, 43-44. "Ex auditis memoriae referas laudem; ex inventis ingenio. non tam laudabile est meminisse quam invenisse: illud enim alienum, hoc proprii muneris est. neutrum sine altero scientem facit." Germann, p. 33. The references to Isocrates have not yet been traced. De Musica, Book II 170 Ego vero licet doctrina dispar, horum tamen haud immemor sententiae [342] & opinionis, non dubitavi supplere, quem senseram defectum, me ipsum per alios informans; dicit enim Ovidius: Noster casus ubique valet, semper tibi pendeat hamus: Quo minime credis gurgite piscis erit. But I, although unequal in 55 learning, yet not unmindful of the judgments and ideas of these men, did not hesitate to make up for this defect which I had observed, informing myself 60 through others; for Ovid says: Chance prevails everywhere; always let your hook hang: Where you least believe it, there will be a fish in 65 the stream.6 Quam quisque norit artem, in hac se exerceat; Graecorum proverbium est. Musica enim ista sunt ut homines, cum doceant, discant; dicit enim Guido de regulis antiphonarum in prologo: multo plura sunt, quae nostro sensu cognoscimus, quam quae a magistro didicimus. Nos ipsos breviter dociles facimus, si apte & breviter summam rei exponimus. Quid enim stultius, quam, quod non didiceris, non discere, Seneca teste? Quamdiu ergo vivas, discendum est; strenue enim agere decet amatorem scientiae, ut Isocrati placet. Musicae itaque immensuratae formam replicare audeo, ac adiectis adiicere, non ut idoneum me fore existimem operibus complendis auctorem, sed ut modernorum musicorum dubiis obviarem, & opinionibus, ac pro posse satisfacerem. Everyone knows that art at which he himself works; it is a maxim of the Greeks. Musical 70 matters are such that men learn when they teach; so Guido says in the prologue to the rules of antiphons; there is much more that we know from our senses 75 than what we learn from a master.7 We quickly make ourselves expert if we set forth the substance of the matter briefly and suitably. 80 What is more foolish than not to learn because you have not learned [it] before, by the assertion of Seneca?8 Thus, as long as you live, you must 85 learn; it is fitting, then, for a lover of knowledge to live an active life, as Isocrates suggests. Therefore I dare to review the form of unmeasured music, and 90 to make additions, not because I would judge myself to be the appropriate author for completing the work, but so as to remedy the doubts and 95 opinions of modern musicians, and to satisfy as much as possible. 6. 7. 8. Ars amatoria 3.426. Prologus antiphonarxi sui, GS II, p. 34: "...valde plura sunt, quae nostro sensu cognoscimus, quam ea, quae a magistro didicimus.11 Ad Lucillum epistolae morales 76.1.7. "quid autem stultius est quam, quia diu non didiceris, non discere?" De Musica, Book II 171 Boetii autem ac Guidonis rudimentis adhaerere semper animo est. Etsi id aegre tulerint aemuli, reliquis plus attribuentes, non movebor; malo enim Boetii & Guidonis doctam imitari negligentiam, quam aliorum inutilem diligentiam. Caput I. Sunt autem imprimis septem consideranda, per quae tamquam per magis principalia in artem patet iter, scilicet manus, cantus, vox, clavis, mutatio, modus, tonus. It is always in my mind to stick close to the rudiments of Boethius and Guido. Even if 100 rivals bear it ill, attributing more to the others, I will not budge; I prefer to imitate the learned negligence of Boethius and Guido, rather than the 105 useless diligence of others. Chapter I. There are first of all seven considerations, through which, just as through principles, the way to art is better made 5 clear, that is, manus [lit. hand], cantus [song], vox [voice], clavis [key], mutatio [mutation], modus [mode], tonus [tone]. Guido enim Aretinus abbas de cruce S. Leufredi primus docuit, flexuras notarum 10 manu discendas esse, merito concludens, pentachordum [Bol: pentadecachordum?] sufficere non posse, superaddens intra 15 proslambanomenon r & ultra nete hyperboleon superexcellentes quatuor,9 trivarium cantum septempliciter dividens 20 litteris sub septem, clavibus viginti, & vocibus sex. Ioannes tamen vult, ante Guidonem Gamma T esse adinventum. 25 Guido Aretino, abbot of St. Leufred's Cross,10 first taught that the inflection of the notes should be learned from the hand; rightly concluding that fifteen notes11 cannot suffice, he added gamma (T) below12 proslambanomenos, and four "superexcellent" [notes]13 above nete hyperboleon, dividing the three types of cantus [hexachord] in a sevenfold manner under seven letters, twenty claves [pitches], and six voces [syllables].14 But Johannes thinks that the r was discovered before Guido.15 9. The Bologna manuscript reads thus for lines 13-16: superaddens infra proslambanomenon [[ et ultra ]] non posse Nete yperboleon super excellentes quatuor. The double brac-kets are of differing shapes and may have been added by other hands; non posse seems to be a scribal error, recopied from the previous line. 10. St. Leutfred's Cross was an abbey in Evreux in northern France. Adam here is probably confusing Guido of Arezzo with the Benedictine monk, Guitmundus, who was in Evreux as a young man but who travelled to England and later became Bishop of Aversa in Apulia. The mistake is also made by De Musica, Book II 172 Trithemius, who may have received the information from Adam. See Hans Oesch, Guido von Arezzo (Bern: Paul Haupt, 1954), pp. 56-57. Oesch discusses other (probably false) tradi-tions of Guido's birthplace and travels. 11. The Bologna MS appears to preserve a better version; Pentadecachord could refer to the fifteen notes (strings) of Boethius' gamut; see Boeth., p. 205-12, Bower, p. 26-39. Adam returns to this topic in slightly more detail in his Chapter 10. 12. The Bologna infra (below) makes more sense here. 13. That is, the notes bb, cc, dd, ee. The gamut of Boethius was the fifteen notes from A (proslambanomenon) up to aa (nete hyperboleon). Guido calls the notes added above superacutae. See Guido, pp. 93-95, and Babb, pp. 59-60. The naming and grouping of the notes is discussed by Adam in his Chapters 8 and 9. 14. For these uses of the terms, see below Chapters 2 to 4. 15. Affl., p. 59; Babb, p. 107. Guido, in fact, says that gamma was added by the "moderns"; see Guido, p. 93, and Babb, p. 60. De Musica, Book II 173 Sed decursu temporis moderniores musicae praeceptores his non contenti clavibus, concluserunt ex 30 necessitate, tribus chordis, scilicet trite, paranete & nete hyperboleon, superaddere diapason superius, 35 similiter lichanos, hypate, & parypatemeson diapason inferius mensuralis musicae gratia per venerabilem Guilhelmum Duffay16 40 adinventae; cuius compositio nostris magnum dedit initium formalitatis, vulgo manerum dictum. Nam ipse primus regulis 45 contentus non immerito limites est supergressus in transpositione, cum instrumentis perutile sit ac eorum sciolis, quorum 50 causa plus credimus admissum fore. Nos tamen regulis contentamur, nee minus antiquis obtemperabimus quam 55 modernis, licet plus subtilitatis adepti sumus; nemo tamen inter omnes est, qui non ex veteribus se iactitet quid accepisse. 60 But in the course of time more modern music teachers, not content with these c laves [pitches], have concluded by necessity that to three strings, that is trite, paranete and nete hyperboleon are added [three] an octave above,17 and similarly to lichanos, hypate and parypatemeson [three are added] an octave below.18 [This was] devised by the venerable Guillaume Dufay on account of measured music; his composi-tion, commonly called manerum,19 gave a great beginning of form to our [composition]. For he himself, not undeservedly strained by rules, first exceeded the limits with transposition, since it is very useful for the instruments and their teachings, for which reason we believe more [notes] to be allowable. Let us then be satisfied with the rules; nor will we comply less with those of antiquity than with those of the moderns, although we are more adept at discrimination; there is no one among all, then, who would not himself claim to have received some-thing from the ancients. 16. In Bol, the words venerajbilejn Guilhelmum Duffay are also written in the margin. 17. That is, three notes an octave above f, g and aa. 18. That is, three notes an octave below E, F and G (the octave below G being T). 19. This term has not been found in any other source used in this sense. De Musica, Book II 174 Circa divisionem autem monochordi multi multa loquuntur varia sentientes, & alter alterius divisionem reprehendit, ut Ptolomaeus, qui divisiones Aristoxeni & Architae reprehendit ultione musicae.20 [343] Boetius autem divisionem non ineptam demum in lucem protulit, quern omnes denuo imitabantur [Bol: immitantur]. Sed Guido metas superqressus, necessitate compulsus superadditiones adiecit: quapropter moderni [Bol: moderniores], Guidonis audacia confisi, adiectis adiicere necessaria non dubitarunt. Dicitur autem monochordum a monos2^ quod est unus vel solus, quia instrumentum unius chordae est: cuius dimensionem arithmeticam scire si cupis, remittam te ad Iohannem papam, qui levem ponit dimensionem [G: Vide supra Ioannis COTTONII Musicam T. II. pag. 236.]. Sed potiora canentibus Guidonis praecepta cantoribus sunt: ideo manus applicare divisionem singuli amplectemur. 20. The words ut Ptolomaeus...reprehendit were omitted and added later above the line in Bol. 21. Appears in G in Greek script but in Bol in handwritten Latin. 22. This may refer to Boethius, Book V, Chapter 18: "How Ptolemy criticized the division of tetrachords by both Aristoxenus and Archytus." See Boeth., pp. 369-71; Bower, pp. 178-179. 23. Boeth. Book IV, chapters 5-12, discusses the division of the monochord; see Boeth., pp. 314-35; Bower, pp. 126-146. 24. See above note 5. 25. This information is taken almost directly from Johannes; see Affl. p. 65, Babb, p. 110. 26. Gerbert's footnote refers the reader to his own edition of Johannes, GS II, pp. 230-265; see Affl., pp. 63-64; Babb, p. 109. About the division of the monochord, many speak a great variety of opinions, and one censures the division of the 65 other, as does Ptolemy, who censures the divisions of Aristoxenus and Architas as an indulgence of music.22 And Boethius, in fact, at length 70 brought to light a not inept division, which all imitate in turn.23 But Guido, having ex-ceeded the limits, driven by necessity, made additions:2^ 75 wherefore the moderns, relying on Guido's boldness, have not hesitated to make further ne-cessary additions. "Monochord" is said to be from monos, which 80 is "one" or "lone", since it is an instrument of one string:25 if you desire to know its arithmetical dimensions, I shall refer you to Johannes the 85 teacher, who sets down easy dimensions.26 But the teach-ings of Guido are more for singers than players: therefore let us discuss applying the 90 division of the hand separately. De Musica, Book II 175 Manum vero initiantibus omnibus practicare consuevimus, cuius haec descriptio est. Manus est 100 monochordum aut instrumentum, vocibus, litteris & clavibus registratum, cuius dispositio aut figura talis 105 est, ut sequitur [G: Figura manus seu palmae ex superioribus. Tomo III. pag. 22.]. Caput II. Cantus autem, quem Graeci odam, nos aliquando laudem vocamus, est melodia ex sono, tono & modo per vocem vivam prolata [Bol: 5 formata]. Dicitur ergo male canere in organis, in buccinis, in citharis. Meum tamen non est quemquam reprehendere, praesertim 10 divum Hieronymum, cum saepissime dicat, tuba cecinisse Hebraeos. Sed si vera est definitio, ergo male dicitur, quia voces 15 sunt materiales: pulcrius tamen dicitur, tuba cecinisse, quam tubicinasse. We were accustomed to practice the hand with all beginners; this is the description of it. The hand is a monochord or instrument marked by voces [syllables], letters and claves [pitches], whose arrangement or shape is such, as follows.27 Chapter II. Cantus, then, which the Greeks call "ode" and we sometimes call "praise",28 is melody produced from sound, tone and interval by the living voice. It is therefore wrongly said "to sing" on organs, trumpets or kitharas. However, it is not my business to blame anyone, especially the divine Jerome, since he very often says that the Hebrews "sang" on the trumpet.29 But if the definition is true, then it is poorly said, since voices are the subjects; it is more nicely said, however, to have "sung" on the trumpet than to have "trumpeted". 27. Gerbert's footnote refers the reader to a schematic diagram of the hand included with the treatise of Elias Salomonis in GS III, pp. 16-64. The Bologna MS contains a crudely drawn version but with some added information. Both are reproduced in Appendix C; see nos. 1 and 2. 28. The word laudem here could possibly have a more specific meaning referring to a worship service or song. 29. This is difficult to trace unless Adam refers to Jerome's translation of the Bible. In that case, some examples might be "Saul cecinit buccina" (I Samuel 13:3), "Cecinit autem Ioab buccina" (II Samuel 18:16), "et canetis buccina" (I Kings 1:34). De Musica, Book II 176 Hunc antiqui triplicem esse voluerunt, scilicet naturalem, mo11em, & durum. Sed postquam Manum praeceptores invenere, insuper & litterales locales unacum vocibus, compertum est, cantum dupliciter capiendum fore, scilicet generaliter & specialiter. Generaliter: & manebit prima divisio; sunt enim tres in generali cantus, videlicet naturalis, b. mollaris, & #. duralis. Specialiter: & erunt septem in manu cantus, duo naturales, duo B. mollares, & tres #. durales. Nam voces in manu septies reperiuntur: quo sit, ut ubicumque ponitur ut, ibi incipitur aliter cantus. Sunt tamen nonnulli, qui unicuique duas quasi sibi convenientes attribuunt voces; nam donant b. mollari ut & fa, naturali re & sol, #. durali mi & la, cuius rei ordinem figura sequens sufficienter exponit. 20 The ancients wished this [cantus, that is, hexachord] to be threefold, that is natural, soft and hard. But after teachers discovered the Hand, 25 and moreover the place letters for each syllable, it was learned that cantus would have to acquire a double aspect, that is generally and 30 specifically. Generally: the first division will remain; there are three hexachords in general, namely natural, b soft and # hard. Specifically: also 35 there will be seven hexachords in the hand, two natural, two b soft, and three # hard. For the syllables are found in the hand seven times: so it is that 40 wherever ut is placed, there another hexachord is begun. There are some, though, who assign to each one two syllables agreeing, as it were, 45 with themselves; for they give to b soft ut and fa, to natural re and sol, to # hard mi and la; the arrangement of this matter the following chart 50 sufficiently sets forth. (Chart; see Appendix C, nos. 3 and 4.) De Musica, Book II 177 Initium vero psallendi in ecclesia coeptum est ad imitationem pastorum, qui 55 inter sacrificiorum exhibitiones Deo laudes persolvere volebant. Alibi autem legitur, a beatissimo martyre Ignatio fuisse 60 introductum, qui voces angelicas Domino decantantes audivit, & morem ecclesiae suae intulit: sic ritus canendi 65 in diversas diffusus est ecclesias. Volunt tamen multi, inter Latinos S. Ambrosium ecclesiae Mediolanensis antistitem 70 occidentali ecclesiae primo dedisse modum psallendi. Nos tamen Gregorium habemus auctorem, a quo cantus simplex Gregorianum nomen 75 sortitus est. The first singing in the church began in imitation of shepherds, who wished to render praises to God between the deliverings of sacrifices. Elsewhere it is read that it was introduced by the most blessed martyr Ignatius,30 who heard angelic voices singing to the Lord, and brought the custom into his church: thus the sung rite was spread into diverse churches. Many, though, want among the Latins St. Ambrose, bishop of the church of Milan, to have given the way of singing first to the western church. We, however, take Gregory as creator, from whom plain chant received its name "Gregorian".31 30. Probably the first-century Bishop of Antioch. 31. The last two sentences are taken almost directly from Johannes Affligemensis; see Affl., p. 115, Babb, p. 136. The entire paragraph is similar to a passage in the treatise of Aurelian; see GS I, pp. 59-61. De Musica, Book II 178 [344] Caput III, Chapter III. Vox est sonus, plectro linguae a pulsu dentium repercussione duorum labiorum in modum cymbalorum, concavo 5 gutturis, & pulmonis adiutorio, qui velut follis aerem accipit & remittit, formatus. Est tamen quaedam species & vocis & 10 soni, alia soni non vocis, quidem (f. ut quidam) sonus per Echo sonorum triformis est natura: harmonica, quae ex vocum cantibus constat: 15 organica, quae ex flatu subsistit: rhythmica, quae ex chordarum administratione, intensione, pulsuque 20 numeros recipit. Sonorum alius discretus, qui facit consonantiam, acceptatur in musica; alius indiscretus, qui dissonantiam reddit, 25 abiicitur.32 Vox is sound formed by the tip of the tongue striking the teeth, by the reverberation of the two lips like cymbals, by the hollow of the throat, and with the help of the lungs, which take in and expel air like bellows. There is also, however, a certain type of both sound and voice, and another type of sound not of voice; indeed (G: so to speak) sound through Echo of sounds is of a threefold nature: harmonica which consists of the singing voices: organica which arises from blowing: rhythmica which receives number with the help of strings, by tension and by striking.33 One [type of] sound, discrete, which makes a consonance, is accepted in music; another, indiscriminate, which gives back a dissonance, is rejected.34 32, 33, 34, Lines 13-26 appear as a chart in Bol; see Appendix C, no. 5 This passage is drawn from Isidore, GS I, p. 21. It is quoted by Jerome; Cserba, p. 11. The reference to Echo is Adam's, however. The story of the nymph Echo is told by Ovid in the Metamorphoses III, 339-401. cf. Affl., p. 58, and Babb, p. 107. A similar idea to Johannes's is found in Boethius; see Boeth., p. 199; Bower, p. 20. De Musica, Book II 179 Symphonia est modulationis temperamentum, concordantibus sonis, sive in voce, sive in flatu, 30 sive in pulsu. A musicis autem humana vox specificata extat, quae musicaliter in sex voces aut syllabas locata est, 35 quibus per mutationes omnis cantus regitur. Has Iohannes ex hymno: Ut queant laxis &c. sumtas fore putatur. Sex sunt 40 voces, ut, re, mi, fa, sol, Symphonia is the right proportion of modulation by concordant sounds, either with the voice, or with blowing, or with striking.36 To musicians, then, the human voice appears [to be] made specific, since it is located in six voces or syllables, by which all song is guided through mutations. These Johannes considered to be adopted from the hymn Ut queant laxis etc.-*7 There are six voces: ut, re, mi, fa, sol, la. la. 35 Caput IV. Clavis vero est littera localis per voces rectificata, quarum viginti in manu ponuntur, scilicet r. ut, A. re. &c. Harum 5 tres tantum locantur, scilicet C. sol, fa, ut. F. fa, ut, & G. sol, re, ut. Aliae autem rarissime; vel nunquam ponuntur. 10 Comprehenduntur autem sub septem litteris, localibus dictis, superiori ordine geminatis, scilicet A. B. C. D. E. F. G. Clavium 15 vero quinque sunt species, videlicet Graves, Finales, Acutae, Excellentes, Superexcellentes. Si autem vox vel nota extra has 20 species occurrerit, iudicanda erit iuxta (?) eius diapason inferius aut superius. Totam rei huius seriem forma sequens 25 informat. Chapter IV. Clavis [pitch] is the letter of location [on the staff] modified by the syllables; twenty of these are placed in the hand, namely r ut, A re etc. Of these, only three are located [i.e. marked by clef], namely C sol fa ut, F fa ut, and G sol re ut. The others are very rarely or never indicated. They are expressed under seven letters, called locations, with the order doubled above, namely A B C D E F G. There are then five types of clavis, that is, Graves, Finales, Acutae, Excellentes, Superexcellentes. But if a syllable or note has occurred outside of these types, it will have to be decided whether it is an octave above or below. The whole system of this subject is demonstrated in the following chart. (Chart; see Appendix C, nos. 7 and 8.) 35. The final sentence appears as a chart in Bol; see Appendix C, no. 6. 36. This sentence is also taken from Isidore (GS I, p. 21) and quoted by Jerome (Cserba, p. 17). 37. Affl., p. 49; Babb, pp. 103-104. De Musica, Book II 180 [345] Caput V. Chapter V. Mutatio est unius vocis in aliam in eadem clave variatio: non tamen vocem sonum puto, quia sonus in eadem clave non variatur. Volo autem vocem cantum esse, quia cantus in clave mutatur, #. duralis in naturalem, vel naturalis in #. duralem, aut b. mollem &c. 10 [346] Mutatio est duplex: extrinseca est, quando vox in vocem aperte mutatur, ut in fa, sol in re, & e 15 converse Intrinseca est, quando vox, quae debet mutari, relinquitur, ut sit in cantu mensurali. Ad mutationem duo 20 requiruntur: non mutare, nisi mutare sit necessarie, hoc est, habiliter mutare vocem in vocem: ut claves inspiciantur, & coniuncta, 25 propter synemmenon in transpositione.38 Nolui autem pueriles illas regulas de mutationibus casus notarum dictas huic 30 opusculo nostro adiungere, cum non sit particulare studium vulgo bacchantria dictum, ubi non continue practicentur: sufficiat 35 ergo specierum cognitio, sive modorum, de quibus postea dicetur. Mutatio [mutation] is the change of one syllable on the same pitch to another [syllable]: but I do not regard the syllable [as] sound, since the sound on the same pitch is not changed. I wish the syllable to be sung then, since the hexachord is changed on the pitch, # hard to natural, or natural to # hard, or b soft, etc. Mutation is twofold: it is extrinseca (external) when the syllable is changed to a syllable openly, ut to fa, sol to re, and the converse. It is intrinseca (internal), when the syllable which must be changed is abandoned, as it is in measured song. Two things are required for mutation: not to change unless it is necessary to change, that is, to change a syllable to a more suitable syllable; and that pitches and coniuncta are viewed according to the synemmenon in transposition. But I did not wish to include those childish rules spoken concerning mutation of the occurrence of notes in this our little book, since the word [mutation] is not a particular study of common ravers, where they are not continuously practised: therefore, let the understanding of the species or intervals, which will be spoken of later, suffice. 39 38. Lines 12-27 are shown in Bol as two charts; see Appendix C, no. 9. 39. Adam defines and classifies intervals in his Chapter 7. De Musica, Book II 181 Mutatio autem in clavibus quomodo se habeat, aut quot quisque clavium habeat mutationes, sequens figura demonstrat. How mutation works in the 40 pitches, or how many mutations each of the pitches has, the following chart shows. (Chart; see Appendix C, nos. 10 and 11.) Caput VI. Superest adhuc b. fa. #. mi, ac eius diapason bb. fa. ##. mi, quia in eis nulla fit mutatio, nam fa & mi in unum mutare nequimus, discrepante semitonio. Est enim semitonium quasi dimidius tonus, sonum enim tono minorem veteres semitonium vocare voluerunt: sed ita capiendus est, ut non dimidius [Bol: ut dimidius] tonus putaretur, quia nee semivocalem in litteris pro medietate vocalis capimus, nee ex duobus semitoniis potest fieri tonus: propter hoc Plato idipsum limma [Bol: limina] vocare voluit, & Graeci synemmenon b. rotundum, id est adiunctum. Chapter VI. There remains yet b fa # mi, and their octave bb fa ## mi, since there is no mutation on them, for we are unable to 5 mutate fa and mi into one, there being a semitone difference.40 A semitone, then, is as it were a tone halved;41 the ancients wished 10 to call the sound of the semitone a "minor tone": but it must be taken in such a way that the tone was not considered halved, since, just 15 as we do not take a semivowel in letters for the middle of a vowel, neither can a tone be made from two semitones: because of this, Plato wished 20 to name that a "limma",42 and the Greeks synemmenon b rotundum, that is "joined". 40. This is a common rule. See Jacobi Leodensis, Tres Tractatuli de Musica, ed. J. Smits van Waesberghe, Eddie Vetter & Erik Visser, Divitiae Musicae Artis DMA.A.IXa (Buren: Frits Knuf, 1988), p. 37, n. 49, which supplies a partial list of occurrences. See also Jerome of Moravia, Cserba, p. 53, and Conrad von Zabern, Giimpel, p. 49. 41. See Boeth., pp. 260-64; Bower, pp. 82-85, for an early discussion on the size of the semitone. 42. Babb disputes the idea that Plato used this term but supplies a number of later references; see Babb, p. 111. De Musica, Book II 182 [347] Multi tamen sine huius artis notitia ex usu 25 videntur sibi bene canere velle, interrogati autem de numero vel intervallo respondere nesciunt. Ipsi vero Democriti philosophi 30 verba non sapiunt, qui dicit: eodem loco sunt voces imperitorum, quo ventris redditi sunt crepitus; quid enim 35 interest, cum hi sursum, illi autem deorsum ullulent? Vidi ego [Bol: ergo] quemdam, qui huius artis auctor & componista 40 haberi voluit, cui nee in pro1atione de numero, nee in clavium positione cura erat: quaesivi, cur ea omitteret? respondit non 45 esse de necessitate, cum maxime necessaria sint [Bol: sunt]: & alium quemdam, qui cum pusillis suis officium sexti toni 50 resumere vellet, primum cecinit tonum: at hie magnae famae musicus erat; nam ut Horatius ait: populus quoque stultus 55 honores saepe dat indignis, quem, ut credo, fama seduxit. Nevertheless, many without familiarity of this art from practice seem themselves to want to play well; yet they do not know how to reply when asked about number or interval. These same do not know the words of the philosopher Democritus, who says: the voices of the unskilled are the same as the rattlings which are sent back by the stomach; who cares whether some howl upwards and others downwards?43 I myself saw someone who wished to be considered a creator and composer in this art, who took care neither with the extension of number nor with the positioning of pitch: I asked why was he omitting these matters? He answered that it was not from necessity, since they are most necessary: and a certain other one, who wished to repeat his small office in the sixth tone, sang the first tone: and this was a musician of great repute; for as Horace says: the foolish common people, whom, as I believe, fame misleads, also often give honours to the unworthy.44 43. This quotation has not been traced. Boethius uses a different quote from Democritus; see Boeth., p. 186; Bower, p. 7. For information on the contributions of Democritus to musical thought, see Edward A. Lippman, Musical Thought in Ancient Greece (New York: Columbia University Press, 1964), pp. 114-16. 44. Sermones 1.6.15: Iudice quo nosti, populo, qui stultus honores saepe dat indignis et famae servit ineptus, qui stupet in titulis et imaginibus. De Musica, Book II 183 Novimus & Andrechinum quemdam Basileensem, qui 60 hue illucque cursitando iam huius nunc illius Principis famulum se esse profitebatur, atque inter ignorantes pro maximo 65 habitus est musico, cum seipsum vix intelligeret: hoc tamen solum philosophus ipse didicerat in philosophiae schola, ut 70 doctos omnino fugeret, ne disputatione ignorantia eius detegeretur. Adeo perversum est hoc genus hominum, & tam elatae 75 cervicis, ut artem plus velint videri habere, quam habeant: qui nihil rectum putant, quam quod ipsi fecerunt, non auctoribus 80 obtemperantes, voluntque credere (f. experientiae), non autem rationi magistrae, cum utrorumque iudicium sit exquirendum: 85 dividant ergo tonum rationis. Nesciunt forte miseri, differentiam esse inter cantorem & musicum magnam; aut fortasse non 90 legerunt Guidonem in micrologo secundo musicae, ubi sic inquit: Musicorum & cantorum magna est distantia: 95 Illi dicunt, isti sci-unt, quae componit musica. Nam qui facit, quod non sapit, diffininitur 100 [Bol: diffinitur] bestia. 46 We recall also Andrechinus, a certain man of Basel,45 who, running about to and fro, declared himself to be the servant of now this, now that Prince, and among the ignorant he was considered as a very great musician, although he scarcely understood himself: but the philosopher had learned this alone in his school of philosophy, to avoid the learned absolutely, lest his ignorance be revealed in disputation. So perverse is this type of men and of such swelled head, that they want more to appear to have art than to have it: they consider nothing correct except what they have done themselves, not conforming to the authors, and they wish to believe (G: from experience), not, however, in sovereign reason, although the judgment of both must be sought out: therefore let them divide the tone by reason. The unhappy ones by chance do not know that the difference between a singer and a musician is great; or perhaps they did not read Guido in the second book of Micrologus Musicae, where he speaks thus: From the musician to the singer how immense the distance is; The latter's voice, the former's mind will show what music's nature is; But he who does, he knows not what, a beast by definition is.47 45. See Ch. I above regarding attempts to identify this person, 46. Bol does not set apart these lines in poetic form. 47. Taken almost directly from Johannes Affligimensis; see Affl., p. 52-53, Babb, p. 105. Also quoted by Jerome; see Cserba, p. 4. Both authors cite the quote mistakenly. It De Musica, Book II 184 Nee etiam Boetium audiverunt dicentem primo musicae cap. 3. Is musicus est, qui ratione perpensa canendi scientiam non servitio operis, sed imperio speculationis assumit, tanto enim praeclarior scientia musicae in cognitione rationis, quam in opere efficiendi atque actu, quantum corpus mente superatur; speculatio enim rationis operandi actu non eget, nam manuum opera nulla sunt, nisi ratione ducantur. Quo fit, ut quanta sit gloria meritumque rationis, hinc intelligi possit [Bol: potest]; nam artifices corporales, ut ita dicam, non ex ipsa disciplina, sed ex ipsis potius instrumentis cepere vocabula: nam citharoedus a cithara, tibicen a tibiis, ab organo organisa [Bol: organista] denominationem habent. Nor yet have they heard the saying of Boethius in the first 105 book of music, chapter 3 48 He is a musician, who, with reason considered, takes up the science of playing, not because of the service of the work, but 110 because of the command of speculation; the science of music is so much more excellent as the understanding of reason than as the work and act of 115 performing; so much is the body surpassed by the mind; speculation of reason does not need the act of performing, for the works of the hands are 120 nothing, unless they are led by reason. By which it happens that how much glory and worth there be in reason, can be understood from this; for 125 artistic performers, let me put it this way, took designations not from the discipline itself, but rather from the instruments themselves: for the kitharist 130 takes a name from the kithara, the piper from a pipe, and the organist from an organ. is from the Regulae musicae rhythmicae, attributed by Gerbert to Guido; see GS II, p. 25. Anonymous XI, CS III, p. 416 cites Guido's "libro neumico." Many other treatises quote this verse. The translation is Babb's. 48. The definition of a musician appears in Book I, Chapter 34. See Boeth., pp. 223-24; Bower, pp. 50-51. The whole paragraph is a paraphrase of this section of Boethius. The passage is also quoted by Jerome; see Cserba, pp. 3-4. De Musica, Book II 185 Tria genera circa musicam versantur; unum 135 instrumentis agitur: aliud fingit carmina: tertium utrumque diiudicat.49 Primum, quod instrumentis potitur, totam operam 140 consumit, seiunctumque est a musicae scientiae intellectu, quia famulatur, nee quidquam affert rationis, sed totius 145 speculationis expers est. Secundum, quod carmina fingit, poetarum est, & potius speculatione ac ratione, quam naturali 150 quodam instinctu fertur ad carmen, ideoque segregandum [348] est. Ignosce ergo Boetio, cum & tu poeta sis, nee gratis puta factum; non 155 enim de humanitatis arte loquitur. Tertium, quod iudicandi peritiam sumit, rhythmos, cantilenam, carmenque totum 160 perpendere potest; hoc autem cum totum in ratione & speculatione positum sit, proprie musicae deputabitur. Discant ergo 165 differentiam fore musicorum, cantorum & instrumentistarum, & non arrogantes artem contemnant & auctores, sed veteribus 170 credant, plus rationis, quam ipsi intelligant, adducentibus. In musical activity, three types are present; one is concerned with instruments; another fashions songs: the third judges both. The first [type], who performs on instruments, uses the whole attention, and is separated from the understanding of musical science, because he is a servant, nor does he offer anything of reason, but is totally inexpert in speculation. The second [type], who fashions songs, is of the poets, and he is brought to song by a certain natural instinct, rather than by speculation and reason, and thus is set apart. Forgive, therefore, Boethius, since you also are a poet, and do not think it has been done for nothing; for he does not speak of the art of humanity. The third [type], who takes skill in judging, can consider rhythms, chant and all song; this, then, since it is all placed in speculation and reason, will be considered music proper. Let them learn therefore that there is a difference between musicians, singers and instrumentalists, and let not the arrogant condemn the art and the authors, but let them believe the ancients, who bring more reason than they themselves understand.50 49. This sentence appears as a chart in Bol. See Appendix C, no. 12. 50. The three foregoing paragraphs are derived from Boethius; see Boeth., p. 224; Bower, p. 51. Jerome also quotes the passage; see Cserba, p. 43. De Musica, Book II 186 Multi tamen verba mea, quod timeo, in sinistram 175 accipiunt partem, & me multorum vitia narrantem, quasi meam ignorantiam sic obumbrare velim, interpretantur. Sed testis 180 est mini conscientia, quia male de me sentiunt; recordor enim verborum Hieronymi ad Rusticum, ubi sic inquit: inventi sunt 185 scioli tantum ad detrahendum, qui eo se doctos ostentare volunt, si cunctorum dicta lacerent. Sed & Tullius lib. II. de 190 Tusculanis quaestionibus: stultitiae proprium est, aliorum vitia cernere, suorum oblivisci. Non enim ego is sum; sed aliae me 195 movent causae: compatior arti, quae cum ab antiquis omni laude dignis philosophis laboriosissime sit inventa, nostro aevo a 200 vilissimis beanis corrumpitur, laceratur & confunditur. Many take my words, I fear, in bad part, and interpret my telling of the sins of many, as if I wished thus to obscure my ignorance. But my conscience is my witness that they judge me wrongly; for I remember the words of Jerome to Rusticus, when he speaks thus: there have been found those who know only how to be negative, who want to show themselves learned in it if they tear to pieces the words of all.51 But also Cicero in the second book of the Tusculan Disputations: it is a peculiarity of folly to discern the faults of others and be forgetful of its own.52 Yet I am not this; but other causes move me: I pity the art, which, although it was most laboriously created by the ancient philosophers, worthy of all praise, in our age is ruined, torn and confused by the most debased apprentices. 51 52, The letter is actually to Pammachius (no. 48, section 18); see J.-P. Migne, Patrologiae cursus completus, omnium SS. Patrum, doctorum scriptorumque ecclesiasticorum... (Turnhout, Belgium: Brepols, 1956- ), vol. 22, col. 508. Actually from Book III, 30, 73-74. De Musica, Book II 187 0 si viveret Boetius, certe pietate motus musicam 205 potius deplangeret, quam transferret. Non modo diceres o Guido! fatuos esse cantores, sed omnes magistros putares; nam sine 210 magistris omnia, quae volunt, praesumunt. 0 temerariam audaciam! o execrandam praesumtionem! vix duodennes iam discere 215 veremur, aut si didicimus minora praecepta, quasi intima arcana dependimus artis, & parum intelligentes omnia nos 220 scire affirmamus, nulliusque correctioni subiacere volumus, ut verum in nobis appareat scriptum in musica Iohannis Papae: 225 nescientes scire nolunt, scientesque fugiunt, quaesiti impudenter obstrepunt, veritati resistunt, erroremque suum 230 summo conamine [Bol: conanime] defendunt, energumeni [Bol: energimini], neque per se videntes, neque videntium 235 ducatui obtemperantes, cum nulla res sine magistro discitur. Oh if Boethius lived, he certainly would be lamenting music, moved by piety, rather than conveying it. Not only would you be saying, Oh Guido, that singers are silly,53 but you would consider all masters [so]; for without masters, they believe all that they wish. Oh rash audacity! Oh detestable presumption! For twelve years already we fear with difficulty to learn,54 or if we learned lesser precepts, as if we bestow the innermost secrets of art, and, understanding little, we declare that we know all, and we wish to be subject to the corrections of no one, so that indeed what was written in the Musica of Johannes the Teacher55 may appear true in our work: the ignorant do not wish to know, and the knowing flee, they brazenly clamour when questioned, resist the truth, and defend their error with the greatest effort, as if possessed, neither seeing for themselves, nor obeying the leadership of those who do see, since nothing is learned without a master.56 53. 54. 55 56, See Guido, p. 86; Babb, p. 58. The remark about twelve years is unexplained. It may provide some clue about Adam's teaching career or his relationship with the dedicatee. Several references to Johannes Affligemensis as Papa gave rise to a conjectural relationship of the composer with a pope. See Smits van Waesberghe's introduction to Affl., p, 26. This passage is based on Johannes; see Affl., p. 66; Babb, p. 110. De Musica, Book II 188 Muta enim animalia ferarumque greges ductorem sequuntur, sed nostri nee ducem nee magistrum curant, omnia per se intelligentes: [G: Haec verba sunt Ioannis COTTONII Tom. II. pag. 233] quos nulli melius quam ebrio comparaverim, qui domum quidem repetit, sed quo calle revertatur, ignorat. Sed & rota molaris aliquando discretum reddit stridorem, ipsa tamen quid agat penitus nescit. Even dumb animals and herds of beasts follow a leader, but our men attend to neither leader nor master, knowing all for themselves: I should compare them to none better than to a drunken man, who does, indeed, make for home, but does not know by what path he should return. Yet even a millwheel sometimes gives forth a distinct pitch in its creaking, though itself it does not in the least know what it is doing.57 Oh pitiable art! Oh lamented art! which everywhere all the unlearned claim for themselves; already students assume the duties of judging, but alas, less than students, that is, common laymen, who know neither art nor letters; having acquired too little facility in instruments, they judge all things; they mutilate all and confuse: so that music now seems to be not one of the liberal but one of the mechanical [arts]. Let them examine, therefore, whether art must suffer, and let them also grieve themselves, and let them confess that I have spoken truly: if not, however, the blame must be thrust back on me, but unjustly. But it is agreeable now to proceed, and to comply with the undertaking. 0 artem miserandam! 0 artem deplangendam! quam 255 sibi passim omnes vendicant indocti, iam iudicandi officium discipuli assumunt, sed heu! minus quam discipuli, id est, 260 vulgares laici, qui nee artem, nee litteras noverunt, in instrumentis parum quid habilitatis adepti omnia iudicant, 265 omnia lacerant & confundunt: ut iam musica non una de liberalibus, sed de mechanicis videatur [Bol: vix videatur] fore. 270 Considerent ergo, si condolendum sit arti, condoleant & ipsi, ac me verum dixisse fateantur: sin minus, in me culpa 275 retrudenda erit, iniuste tamen. Sed placet modo procedere, & coeptis obsequi. 240 245 250 57. Gerbert's note remarks that the passage is taken from Johannes; he refers the reader to his edition, GS II, p. 233. See also Aff1., p. 52; Babb, p. 105. De Musica, Book II 189 [349] Caput VII, Chapter VII. Modus est modulata intensio vel remissio vocum aut notarum; vel sic: modus est soni acuti gravisque distantia vel intervallum. 5 Intervallum vero notarum gravitate vel acumine, intensione, vel remissione factum, a musicis modus dicitur, item habitudo 10 vocum inter se; ex quo notarum casus accipiemus [Bol: accipiemur]. Sunt autem modorum duodecim, quamvis aliqui 15 novem ponant solum, non annumerando semitonium cum diapente, semiditonum cum diapente, & tonum cum diapente, ideoque raro in 20 Gregoriano occurrunt cantu; sed nos his mensurali vel figurativo saepius utimur cantu. Statui ergo, eos cum caeteris annumerandos 25 fore, & ad indagandam formam harmonicalem, descriptionem eorum, qualiterve intenduntur aut remittuntur, potenter aut 30 debiliter, postea duabus figuris, ut sequitur, indicare. Modus [interval] is the melodic raising or lowering of the syllables or notes;58 or this: modus is the distance or interval of the high and low sounds.59 The interval of notes by lowness or highness, the raising or lowering made, is called modus by musicians, [and] likewise the relationship of the syllables between them; from this we get the occurrence of the notes. There are, moreover, twelve intervals, although certain people posit only nine, not counting the semitone with diapente [minor sixth], the semiditone with diapente [minor seventh], and the tone with diapente [major sixth], since they occur rarely in Gregorian chant; but we use these quite often in measured or figured song. I decided, therefore, that they are to be counted with the others, and that their description is to be shown in investigating the harmonic form (or as they are raised or lowered, strongly or weakly) afterwards with two charts, as follows.60 Ex quo vero modus est modulata intensio vel remissio vocum, oportet primo scire vocum proprietates, ut sequitur, deinde modorum species. From this, then, modus is the 35 melodic raising or lowering of the notes; it is important first to know the properties of the notes, as follows, and thence the species of intervals. 58. cf. Anonymous XI, CS III, p. 422. 59. This second definition is taken from Boethius. See Boeth., p. 195; Bower, p. 16. 60. This reference to charts is puzzling in Gerbert. However, in Bol lines 40-67 and 72-110 are shown as charts rather than continuous text. See Appendix C, nos. 13 and 14. De Musica, Book II 190 Vocum aliae sunt unisonae, 40 quae singillatim pulsatae unum atque eumdem sonum reddunt. Aequisonae sunt, quae semel pulsatae unum ex duobus atque simplicem 45 sonum faciunt, ut diapason & bisdiapason. Consonae sunt, quae compositum quidem permixtum, suavem tamen efficiunt sonum, ut 50 diapente, diatessaron. Emmeles, quaecumque consonae quidem non sunt, recte tamen ad melos aptari possunt, ut tonus cum 55 caeteris intervallorum speciebus. Dissonae sunt, quae non permiscent sonos, sed insuaviter feriunt [Bol: ferrent] sensum. 60 Ecmeles [Bol: Et Melos] sunt, quae in consonantiarum coniunctione, ut melos effici possit, non 65 recipiuntur, ut est tritonus & semidiapente.61 Haec sane divisio Oddonis in Enchiriade habetur, inque musica Hermanni Suevi 70 sub dialogo scripta. Some of the notes are unisonae, whose pulses singly send back one and the same sound. There are aequisonae [equal-sounding], whose pulses struck once make one simple sound from two, as the octave and double octave. Consonae [consonances] are those which produce a compound, indeed mixed, but sweet sound, as the perfect fifth and perfect fourth. Emmeles [melodic], which indeed are not consonances, can nevertheless be correctly fitted to the tune, as the tone with other types of interval. Dissonae [dissonances] are those which do not mix together sounds, but strike the sense harshly. Ecmeles [non-melodic] are those, such as the tritone or diminished fifth, which are not allowed in joining consonances in order that the melody can be produced.62 This division, to be sure, is held by Oddo in the Enchiriadis, and in the Musica of Hermannus of Swabia, written as a dialogue.63 61. Lines 40-67 appear as a chart in Bol. See Appendix C, no. 13. 62. This section is drawn almost entirely from Boethius and is based on Ptolemy. See Boeth., p. 361; Bower, pp. 170-1. Also quoted by Jerome; see Cserba, p. 66. 63. These references are very confused. Bishop Odo of Cluny was long thought to have authored an influential Dialogus on music, also known as the Enchiridion (edited by Gerbert, GS I, pp. 251-264; translated in Strunk Source Readings, pp. 103-120); the treatise is no longer credited to Odo. The Musica enchiriadis was edited by Gerbert (GS I, pp. 152-212) and attributed by him to Hucbald, but is now thought to be by another anonymous writer. The treatise of Hermannus (GS II, pp. 125-153) is not in dialogue form; see also Leonard Ellinwood, Musica Hermanni Contract!, Eastman School of Music Studies No. 2 (Rochester: University of Rochester, 1952). The "division" or classification of interval types from Boethius is not found in any of the above treatises. For more on the identity of Odo, see Michel Huglo, "L'auteur du "Dialogue sur la musique" attribu6 a Odon," Revue de musicologie 55 (1969): De Musica, Book II 191 Duodecim sunt modi sive species saltuum. Unisonus est eiusdem clavis in eadem voce repetitio. Semitonium 75 est saltus de mi in fa. & e converse Tonus est saltus a clavi in proximam, continet duo semitonia disparia. Semiditonus 80 [Bol: Semitonus] est saltus de linea in lineam, aut de spatio in spatium, incluso semitonio. Ditonus est saltus ad tertiam, excluso 85 semitonio. Diatessaron est saltus ad quartam generaliter ex duobus tonis & semitonio, nisi sit [Bol: fit] tritonus. Diapente 90 est saltus ad quintam, includit tres tonos cum semitonio, nisi sit semidiapente. Semitonium cum diapente est saltus ad 95 sextam vocem [Bol: vocum] tonorum & duorum semitoniorum. Tonus cum diapente est saltus ad sextam realis cum tonis 100 quatuor & semitonio. Semiditonus cum diapente est saltus ad septimam tonorum quatuor & duorum semitoniorum. Ditonus cum 105 diapente est saltus ad septimam tonorum quinque & unius semitonii. Diapason est saltus ad octavam, inter consonantias maior.64 110 Proportionabilem formam horura modorum ultima de proportionibus parte invenies lucide positam.65 There are twelve intervals or types of leaps. Unisonus is the repetition of the same pitch on the same syllable. Semitonium is the leap from mi to fa and the converse. Tonus is the leap from a pitch to the nearest one, and contains two unequal semitones. Semiditonus is the leap from a line to a line, or from a space to a space, including a semitone. Ditonus is the leap to a third, excluding a semitone. Diatessaron is the leap to a fourth, generally from two tones and a semitone, unless it be a tritone. Diapente is the leap to a fifth, and includes three tones with a semitone, unless it be a semidiapente [diminished fifth]. Semitonium cum diapente is the leap to a sixth note, of [three] tones and two semitones. Tonus cum diapente is the leap to a sixth with four real tones and a semitone. Semiditonus cum diapente is the leap to a seventh with four tones and two semitones. Ditonus cum diapente is the leap to a seventh with five tones and a single semitone. Diapason is the leap to an eighth, among the larger consonances. You will discover the proportionate form of these intervals laid out clearly in the last part [of the treatise] concerning proportions.66 119-71. 64. Lines 72-110 appear as a chart in Bol. See Appendix C, no. 14. 65. A full-page chart of the intervals with musical examples appears in Bol at the end of chapter VII. See Appendix C, no. 15. The chart is not mentioned in Gerbert. 66. Pars quarta, GS III, pp. 367-81. De Musica, Book II 192 Caput VIII. Proportionabilitas vero omnium periphonorum, id est, consonantiarum per [350] hos exquiritur modos, simul & diaphonia ex peribolo, aut deambulatione cantus chordarum musicalium. Boetius enim praecipuus huius artis inter Latinos auctor quindecim chordas posuit musicales, a proslambanomenon usque netehyperboleon quadruplam aut bis diapason comprehendens, quam maximam symphoniam appellabat. Hunc & Iohannes de Muris, qui hinc inde in gymnasiis practicatur, consecutus [Bol: consecutus est]. Venit post hoc Guido Italicae nationis homo non incelebratus musicus, merito concludens, monochordi species per amplius dilatari posse, quindecim chordis non contentus subiecit Proslambanomenos r [Bol: Gama] ac netehyperboleon superaddidit excellentes, quatuor viginti ponens chordas, ac modo leviori manu discendas instituit: quod demum per Odonem Cluniacensem monachum prosecutum esse creditur. Chapter VIII. The just proportion, then, of all surrounding sounds, that is, of consonances, is sought through these intervals, and 5 likewise also two-part harmony, from "walkways", or from the moving about of the song [hexachord] of musical notes. For Boethius, pre-eminent 10 creator of this art among the Latins, posited fifteen musical strings, from proslambanomenon to netehyperboleon, encompassing two octaves, which 15 he called quadruple, the largest consonance. This also Jehan des Murs followed, which from that time was practiced in the schools. After this comes 20 Guido of the Italian nation, a man not uncelebrated as a musician, rightly concluding that the types [sounds] of the monochord can be expanded more; 25 not content with fifteen strings, he added r under Proslambanomenon and added the excellentes above netehyperboleon, the four 30 [added] making twenty strings,67 and he taught that they should be learned by the method of raising the hand: which afterwards is believed to 35 have been continued by Odo, a monk of Cluny.68 67. Actually nineteen; the gamut of Boethius had fifteen notes (strings). 68. See n. 63 above. De Musica, Book II 193 Transfluxis vero temporibus, auctis ingeniis 40 subtiliores esse coeperunt musici, manu & Guidonis praeceptis non contenti, sed cantum toties [Bol: totiens] quotiens 45 transponentes, invenerunt infra r [Bol: Gama] plures voces adiiciendas esse, similiter supra ee la plures associandas voces. 50 Cuius rei venerabilem Guilhelmum Duffay inventorem extitisse credo, quern & moderniores musici omnes imitantur: multi 55 tamen plus voluntati quam auctoritati obtemperantes, quorum plures usum sine artis notitia sequuntur, cum pluribus sit innatus 60 usus musicae artis. Ex quo vero sapientia sine eloquentia parum prodest, & eloquentia sine sapientia non prodest, sed plerumque 65 obest; sic ars sine usu parum valet, & usus sine arte nihil: Volui probare ratione, adiecta esse ponenda; auctoritas enim 70 praecessit. Cum igitur musica, una de quadrivialibus, mensura, numero, & proportionibus gaudeat, omnesque 75 proportiones tarn geometricales quam arithmeticales in infinitum tendant; cur non harmonicales vocum aut 80 sonorum proportiones in infinitum tenderent, cum humana aut materiali voce attingi possent? nam experientia hoc informat, 85 quae rerum magistra est. With the passing of time, musicians began to be more subtle with increased talents, and, not content with the hand and Guido's teachings, but transposing song so often, they discovered that more notes were to be added below r, and similarly above ee la more notes were to be associated [by octave doubling]. Of this matter I believe the venerable Guillaume Dufay to have stood forth as inventor, whom also all more modern musicians imitate: many, however, obeying their will rather than authority. Most of them follow the practice without knowledge of the art, since for most the practice of musical art is innate. From this, then, wisdom without eloquence is of too little benefit, and eloquence without wisdom is of no benefit, but often it goes against it; thus art without practice is worth little, and practice without art nothing.69 I wished to prove by reason that the additions [notes] should be placed; for the authorities went before. For music, therefore, one of the quadrivium, delights in measure, number, and proportion, and all proportions, whether geometric or arithmetic, extend infinitely; why would not the harmonic proportions of voices or sounds extend infinitely, since they could be produced by a human or instrumental voice? for experience, who is the mistress of things, teaches this. 69. See Ellsworth, Berkeley Manuscript, pp. 35-37, n. 3 for a discussion of the terms usus and ars. De Musica, Book II 194 Caput IX. Chapter IX, 70Cum itaque inter componistas in usum maximum devenerit, canonicas conficere cantilenas, in quibus nonnulli totam artem quasi in nodo restrictam esse putant [Bol: putantur], & fatui fatuis credunt, quorum plurimi, cum alios obscurare volunt, se ipsos ita obumbrant, ut vix meridie lusci videant ipsi: nam alienis utuntur vocalibus ac terminis non musicalibus, & in re non magni fructus longum conterunt tempus, aut parvissimam phantasiam multis exponunt metris, canonis loco; quibus ego dicerem: si non vis dici, non dicaris. Therefore it became among composers the most widespread practice to compose chant based on the divisions of the 5 monochord, in which many consider the whole art to have been restricted as if in a knot; foolish men believe fools, most of whom, when they 10 want to "blacken" others, obscure themselves, so that they themselves, half-blind, scarcely see at noon: for they use the non-musical notes and 15 terminations of others, and in a matter of little profit, they waste much time, or display the tiniest fantasy in great measures, in place of the 20 standard; to whom I would say: if you do not wish to be spoken of, you will not be not spoken of. Sed heu multi, qui magis videri quam esse neumatici gaudent, iuvenilibus annis nisi [Bol: nihil] adepti, senio discere verentur. Et utinam [Bol: utinam non] essent, quibus sanum impartire consilium, si acceptaverint, volo, qui Catonem [Bol: volo Catonem] imitentur, qui in senio graecis voluit informari litteris, ac Solonem, qui moriens didicit, Socratemque, qui senex musicis operam dedit; cumque a quibusdam quaereretur, numquid verecundaris in senectute studere? respondit: maior est verecundia, in senio ignorantem esse, quam in senectute studere: But alas, many, who delight more in seeming [to be] than in 25 being knowledgable in neumes, unless they have acquired this in the youthful years, fear to learn in old age. And would that there were those to whom I 30 wish to communicate sound advice, if they accepted [it], who might imitate Cato, who in old age wished to be instructed in Greek literature,71 and 35 Solon, who learned while dying,72 and Socrates, who, as an old man, devoted himself to music;73 and when he was asked by someone, "Were you not 40 embarrassed to study in old age?" replied: "there is greater embarrassment in being ignorant when old, than in studying in old age"; 45 70. Bol has Modi hena (?) sub hijs speci in margin. 71. This may be a myth growing from a mistranslation of a story that Cato learned the Greek language late in life; see Cambridge History of Classical Literature, V. II, Latin De Musica, Book II 195 & non elati Homerum [351] sectentur, qui cum problema a piscatoribus sibi propositum solvere non posset, seipsum, ut fertur, 50 in mare praecipitem dedit. Discant ergo plus quaerere artem, quam sibi ipsis credere, ac musicis vocalibus & chordis plus 55 uti, quam alienis. and let them not in their pride follow after Homer, who, when he could not solve the problem set before him by fishermen, as it is said, threw himself headlong into the sea.74 Let them learn, therefore, more to seek art than to believe themselves, and to use more the notes and strings of musicians than of others. Literature, ed. E. J. Kenney (Cambridge: Cambridge University Press, 1982), p. 140; and Cicero, Academy II, 2.5. It may also refer to Plutarch who reports that Cato read Plato's Phaedo while dying; see Lives, Cato the Younger, LXVIII. Refers to a famous saying of Solon which may be found in Poetae Lyrici Graeci, ed. Theodorus Bergk (Leipzig: 72 73 74, B. G. Teubner, 1882), p. 47 (no. 18): [Gerasko d' aiei polla didaskomenos]. It is also reported by Plutarch; see Lives, Solon, 31, e. The reference may in fact be to dancing, not music; see Plato, Symposium, II, 19; Athenaeus of Naucratis, Deipnosophistae, I, 20, f. It may also allude to Plato's Phaedo, which reports that Socrates wrote verse in his last days; see Phaedo, 4. This apocryphal anecdote is reported in a Life of Homer attributed to Herodotus. See The Minor Poems of Homer, trans. K. R. H. MacKenzie (New York: A. Denham & Co., 1872), p. 26. De Musica, Book II 196 Posuit enim Boetius chordas quindecim, quibus Graeca indidit nomina forte a Pythagora sumta, ut dictum 60 est, & sequens declarat figura. Simplicem enim primo fuisse musicam Nicomachus refert quatuor nervis constantem, quod & 65 praefatus Boetius I. musicae cap. 2 usque ad Orpheum durasse dicit. Tetrachordum erat a Mercurio inventum ex 70 cochlea putridi piscis. Quintam Corebus Atys filius adiunxit, sextam Hyagnis Phrygius, septimam Terpander Lesbius, octavam 75 Licaon Samius, nonam Prophrastus Periotes, decimam Histiaeus [Bol: Estigeus] Colophonius, Timotheus Milesius 80 undecimam.75 Boethius, then, posited fifteen strings, to which he gave Greek names, perhaps taken from Pythagoras, as it was said, and this is shown in the following chart.76 Nicomachus reports at first there was a simple musical constant of four strings; and this, the aforementioned Boethius also says in chapter two of Music, Book I, lasted until Orpheus. The tetrachord had been discovered by Mercury from the shell of a rotten fish.77 Corebus, son of Atys, added the fifth, Hyagnis of Phrygia the sixth, Terpander of Lesbos the seventh, Licaon of Samos the eighth, Prophrastus of Pieria the ninth, Histiaeus of Colophon the tenth, Timotheus of Miletus the eleventh.78 75. A note by Gerbert refers the reader to his edition of the treatise of Egidius Zamorensis, who adds four more strings credited to four other Greek figures; see GS II, p. 382. 76. An elaborate chart is provided at the end of the chapter; see Appendix C, nos. 16 and 17. 77. Actually a tortoise in the original myth from the Homeric Hymn to Mercury; see New Grove's Dictionary of Music and Musicians s.v. "Lyre". Adam returns to this story in the Prologue to Book III, where the shell is said to be from a tortoise; see GS III, p. 359. 78. cf. Boeth., pp. 205-09; Bower, pp. 29-35. The passage is i drastic condensation of the version of Boethius. Bower provides detailed notes on all the figures mentioned; he equates Licaon with Pythagoras. The Berkeley Manuscript also gives a detailed account of this legendary process and provides interesting illustrations of contemporaneous stringed instruments; see Ellsworth, pp. 191-213. De Musica, Book II 197 Guido autem superaddidit unam gravem & superexcellentes quatuor: deinde moderniores metas 85 supergressi sub fie supra quid addiderint, praetactum est. Cum enim Guido cum sequacibus adiunctas sive superadditas voces 90 innominatas reliquerint, volui prius supplere Guidonem, & chordam in gravibus adiunctam, videlicet r. ut hyponomenon 95 vocare, id est, gravem sonum, quia in manu gravissimus est: & quatuor supercellentibus [Bol: superexcellentibus], 100 scilicet Jb. c. d. e. geminatis, primo b. epitrite diahyperboleon, id est, superexcellens, trite hyperboleon duabus vocibus, 105 sequentesque epiparanate diahyperboleon, ac epinete diahyperboleon, iuxta praecedentem manere formam. Ultimam vero, videlicet ee 110 la orexion, id est, novissimum in manu sonum appellare: superadditiones autem modernorum cum nominibus careant, ad unum 115 in hypothesi, id est, suppositione hyperaxiapathones, id est, gravissimum vel ultimum sonum vocare; similiter in 120 hyperboleothesi, id est, superexcellenti suprapositiones omnes insimul origneoboleones, id est, supra ultimam sonantes 125 vocitare volui, ut figura sequens indicat. vid. FIGURA. Guido then added one gravem and four superexcellentes above; thence what the moderns added beyond the limits above and below was mentioned before.79 Since Guido left unnamed the notes joined to the ones following or added, I wished first to complete Guido, and to call the string added below, namely r ut, hyponomenon, that is, the "low sound", since it is the lowest in the hand; and the four superexcellentes, namely the twins [octaves] of jb. c. d. e.: first, the b [I wished] to stay epitrite diahyperboleon, that is, superexcel1 ens, trite hyperboleon of two notes [i. e. an octave], and the following ones epiparanate diahyperboleon and epinete diahyperboleon after the preceding form. The last then, namely ee la, I wished to call orexion, that is, the "newest" sound in the hand; then since the further additions of the moderns lack names, I wished to call the one in hypothesi, that is, the low range, hyperaxiapathones, that is, the "lowest" or "last" sound; similarly in the hyperboleothesi range, that is, all higher positions of the superexcellentes, I wished to call alike origneoboleones, that is, "sounding above the last", as the following chart shows. See chart. (Chart; see Appendix C, nos. 16 and 17.) 79. See above, Chapter 1 (discussed in Chapter III of the commentary) and Chapter 8. De Musica, Book II 198 Caput X. Chapter X. Ex quo vero de modis chordis (f. chordarum) seu [periphonial & [diaphonia]80 dictum est, scire modo convenit ex 5 modis consonantias simul & dissonantias; nam tota musica symphoniae causa discitur & harmoniae. Igitur consonantiarum 10 aliquae sunt perfectae, scilicet unisonus eadem vox, diapente quinta, diapason octava, cum earum aequisonis, octava, 15 duodecima, & bisdiapason. Aliae imperfectae, ut ditonus aut semiditonus, qui est tertia, item tonus aut semitonium cum 20 diapente, sexta, cum earum aequisonis decima & tredecima.81 Reliquae autem etsi in infinitum [Bol: etsi infinitum] 25 metiri haberent, harum tamen reiteratio sunt. Since it has been spoken of regarding the intervals of the notes or periphonia and diaphonia, it is now fitting to know the consonances and dissonances alike of the intervals; for all music is learned for the sake of consonance and melody. Therefore some of the consonances are perfect, namely the unison on the same note, the diapente fifth, the diapason octave, with the aequisones [equal-sounding] of these, the octave, twelfth, and double octave. Others are imperfect, as the ditonus or semiditonus, which is a third, as well as the tone or semitone with diapente, the sixth, with their aequisones, the tenth and thirteenth. But although the remaining ones were held to be measured to infinity, they are the reiteration [i. e. octave doubling] of these. 80. In Greek script in both sources. Bol also has both words in Greek script in margin. 81. Lines 10-23 appear as a chart in Bol; see Appendix C, no. 18. De Musica, Book II 199 Caeterum quidam diatessaron perfectam fore dicunt consonantiam, quidam 30 imperfectam; nos vero earn semidissonantiam esse dicimus, id est, cum nulla per se solam concordantem [Bol: concordans]. Quam 3 5 etiam (Iohannes) de Muris consonantiam fore negat, [352] nisi earn perfecta praecesserit consonantia; cum perfeetis vero aut 40 imperfectis moderatur concordantiis, & ipsa [Bol: ipsam] consonantiam facit non ex se, sed respectu aliarum; quod musici 45 gentium vocabulo faulx bordon vocare coeperunt, quia tetrum [Bol: thetrum] reddit sonum. Omnes autem voces, praeter iam dictas, 50 ad unum dissonantiae sunt, hoc est, cum omnibus aliis discrepantes. But some say that the diatessaron is a perfect consonance, others an imperfect; but we say that it is a semidissonance, that is, concordant with nothing by itself alone.82 Jehan des Murs also denies that it is a consonance unless a perfect consonance precedes it;83 then it is governed by perfect or imperfect concords, and does not make a consonance by itself, but in relation to others; this musicians began to call by the popular term "faulx bordon", since it gives back a bad sound. All notes, then, except those already mentioned, are dissonant to every single [other] one, that is, out of tune with all others. 82 83 Adam discusses this matter in a similar but more detailed fashion in Chapter 6 of Book IV. See GS III, p. 373. A short treatise or section, De discantu et consonantiis, is attributed by Gerbert to Jehan des Murs (GS III, pp. 306-07). It discusses consonances in discant but accepts only the perfect fifth and octave as perfect and makes no mention of the fourth. Other treatises of this author name the fourth as a perfect interval but in a melodic usage or speculative sense. As there is much confusion about which treatises Jehan actually wrote, Adam may be referring to someone else's. De Musica, Book II 200 Ex consonantiis vero praescriptis omnis 55 symphonia componitur per arsim & thesim, id est, per elevationem & depositionem, non solum simplicem neumam, quam Berno distrophen aut 60 tristrophen vocat; sed & duplicem triplicemque rationem concordantem puto cantum. Cum igitur vitiosa consuetudo ab opere [Bol: 65 opero] consueto, Bernone teste, & cantorum ore nullo modo aut vix evelli possit, a praeceptoribus quaedam compositionis regulae 70 adinventae sunt, ne quilibet suo duceretur arbitrio. Symphonia then is composed from all the previously described consonances through arsis and thesis, that is, through rise and fall, not only by simple neumes, [but also by what] Berno calls distrophe or tristrophe;8^ but I also consider concordant song in duple and triple ratio. Since therefore the faulty practice from habitual performance, as Berno witnesses,85 can in no way, or scarcely, be uprooted from the mouth of the singers, certain rules of composition were devised by teachers, lest anyone be guided by his own judgment. De quibus aliquas [Bol: aliquas ideo] hie inserere 75 placuit, quia heu corruptam a componentibus musicam indique [Bol: undique] cernimus: quod ideo fit, quia pessimus inolevit usus 80 instrumentistarum, qui cum vix duas intelligunt regulas, proh dolor! componere carmina volunt, & utinam solum carmina, sed 85 etiam quaeque grandia usu praesumunt. Caeterum aliqui vix notarum figuras intelligentes, modicumve quid artis adepti, omnem 90 cantum corrigunt, lacerant, corrumpunt, & recte compositum falsificant. For these reasons it seemed good to insert some [rules] at this point, since, alas, we discern from all sides music corrupted by those composing it: which happens, then, since the worst practice of instrumentalists became ingrained; when they know scarcely two rules, oh woe! they wish to compose songs; and would that it were only songs, but they also take up some grand things in performance. Some others, scarcely knowing the shapes of the notes, or somewhat adept in the art, amend all song, tear, damage and adulterate the correct composition. 84. These terms are used only by Johannes (Affl., p. 158; Babb, p. 159) and Adam; Johannes also cites Berno. 85. Adam may have copied this citation from Johannes (Affl., p. 75; Babb, p. 159). A similar quotation is not found in Berno. De Musica, Book II 201 Taceo de multis, qui licet a praeceptoribus bene 95 imbuti sint, totiens quotiens errant, dum non sane singula memoriae commendaverint, aut praeceptorum, aut eorum 100 culpa; multoque plures sunt, qui plus habilitatis quam artis didicere, qui, quod faciunt, legem putant, alterque in alterum 105 convitia iacit, ac fatuus fatuum confundit, & si mille sint, vix decern concordant. Dicit primus, ut Guido ait, magister 110 Bruno sic me docuit. Alter ait, ego a magistro meo Albino sic didici. Tertius vero, certa magister meus Odo aliter me informavit: 115 quo fit, dum suum quisque praefert magistrum, tot sunt componendi diversificatores, quot sunt in mundo magistri, 120 acciditque nobis iuxta illud Nasonis dictum: I do not mention many who, although they be well imbued by teachers, so often err, since they have not entrusted a single [thing] to memory, either by fault of teachers, or of themselves; and there are many more who learned more facility than art, who consider what they do the law; and one throws abuse at the other, and the fool refutes the fool, if there were a thousand, scarcely ten would agree, first says, as does Guido, Master Bruno taught me thus. Another says I was taught thus by my Master Albinus. But a third [says] my Master Odo reliably informed me otherwise;86 such being the case, while each prefers his own master, there are as many men with different theories of composing as there are masters in the world, and the saying of Ovid occurs to us: and The Pectoribus mores quot sunt in orbe figurae, Dum sibi quisque placet, credula turba sumus. 125 There are as many customs as faces in the world. While each pleases himself, we are a credulous lot. 7 Qui vero mavult adhaerere pravo usui [ Bol: usu ], quam veritati obtemperare, discat, mimos & ioculatores [Bol: Iaculatores] fore componistas futuros. 130 But he who prefers rather to adhere to irregular practice than to obey the truth, let him learn that mimes and jesters are going to be the composers of the future.88 86. cf. Affl., p. 134; Babb, p. 147. 87. Actually two separate quotations: Ars Amatoria 1.759 and Remedia Amoris 686. 88. cf. Affl., p. 51; Babb, p. 104. De Musica, Book II 202 Caput XI. Antiquorum autem regulas utiliores hie informare libuit, decern praesertim utiliores mihi visas, communi componistae 5 rationibus multis, ne levi ducantur insania, ac quisque sine praeceptis suo trahatur arbitrio. Prima: in omni cantu ad 10 minus una vox dicitur aptari vero tono; hoc est autem aptare tono, scilicet octo [Bol: actos] tonatos, id est, clausulas pulcre 15 localiterque ponere, sicut enim accentus prosae per punctum ornatur, sic tonus per octo [Bol: Actos]. Secunda: omnis componens 20 discat cantum distincte pausis ornare, quia varietatem faciunt; non minus enim laudabile est pausare, quam cantare, nee 25 accentus prosae sine pausa sit. [353] Tertia: omnis dissonantia, quod [Bol: quoad] fieri potest, 30 fugienda est, similiter tritonus cum semidiapente, quia discrepantia semitonii prohibetur [Bol: prodidetur], praeter in 35 actibus, ubi earn [Bol: eum] perfecta continuo sequitur; non demidiapente [Bol: semidiapente] loquor, ut Maro dicit, semiviri 40 phryges, quia nee [Bol: nunc] semitonium dimidius est tonus. 89. Aeneid 12.99; also quoted by Babb, p. ill. Chapter XI. I wanted then to convey here the more useful rules of the ancients (ten seeming especially useful to me) to the ordinary composer, for many reasons, lest they are led by trivial madness, and [lest] each goes his way as he pleases without any teachings. First: in all song, at least one voice is said to be fitted to the true mode; that is, however, to fit to the mode, namely the eight [church] modes; that is, to place closes beautifully and properly; as the accent of prose is adorned by the point, thus also is mode through the eight. Second: let everyone composing learn to adorn song clearly with pauses, since they give variety; it is not less praiseworthy to pause than to sing, nor is the accent of prose without pause. Third: Every dissonance, if it can be, is to be avoided, and likewise the tritone and diminished fifth, since the difference of a semitone [from the fifth] is prohibited, except in the event that a perfect [consonance] follows it directly; I do not say demidiapente, as Virgil says "half-male Phrygians,"89 since a semitone is not half of a tone. Johannes; see Affl., p. 69; De Musica, Book II 203 Quarta: componenti caute prospicienda erit clavium 45 vera positio in toni transpositione, quia ibi coniunctarum obviatio est, quod Graeci synemmenon, nostri vero musicam fictam 50 appellare voluerunt. Quinta: omnis componens simpliciter memoriae tradat duodecim articulos artis, quia sine his nullus 55 componitur cantus. Sexta: componistae omnes singularem habeant respectum ad primos tres musicae gradus, vidilicet 60 modum, tempus, prolationem; numeri gratia, ut cuique quae sua sunt aptent [Bol: aptet], id est, verum signum pro agnitione & 65 tactu. Septima: nulla consonantia perfecta suam similem [Bol: limitem] perfectam sequi habet in arsi & thesi, sed 70 quaelibet perfecta suam dissimilem perfectam digne imitari habet perfecta, ut post unisonum diapente, post diapente diapason. 75 Octava: licet olim veteres ultra tres aut quatuor imperfectas se sequi omnes prohiberent, nos tamen moderniores non prohibemus, 80 praesertim decimas, cum ornatum reddant, voce tamen intermedia. Fourth: the true placing of the pitch in transposition of a tone will be carefully observed by the composer, since the meeting of the adjuncts is there, which the Greeks like to call synemmenon, but we call musica ficta.90 Fifth: let all those composing commit entirely to memory the twelve parts [intervals] of the art, since without these no song is composed. Sixth: let all composers have particular regard for the three first steps of music, namely mode, tempus and prolation; for the sake of number, so that what is proper in each case is applied to each, that is, the true signature for recognition and tactus. Seventh: no perfect consonance has a similar perfect [consonance] following, rising and falling, but any perfect [consonance] may appropriately have a perfect one dissimilar to it following, as a fifth after a unison, or an octave after a fifth. Eighth: although the ancients formerly prohibited more than three or four imperfect [consonances] following each other, we moderns do not prohibit this, especially tenths, which provide adornment when a voice is in the middle. 90. This rule recalls the second requirement for mutation in Chapter 5; see II/5/24-27. De Musica, Book II 204 Nona: diatessaron numquam sola ponenda est, nisi aut 85 perfectam aut imperfectam moderetur: sed & nee simul ascendere, nee simul descendere licentiam habet, nisi sit, ut praetactum 90 est, faulx bordon,91 quod quidam fictum in hypothesi putant, & in hyperboleothesi fieri posse; sed hoc ratio non 95 suadet, quia contra praecedentem esset regulam. Decima: discat omnis componens contra tenorem in hypothesi, scilicet in 100 gravibus potius perfectas ponere consonantias, quam imperfectas, demta tertia cum eius aequisonis, qui sonus consonantiae pari 105 canore temperatur; de hoc Horatius dicere videtur, ubi ait: Non satis est pulcra esse poemata, dulcia 110 sunto. 115 120 Ninth: the fourth must never be placed alone, unless it is bounded by a perfect or imperfect [consonance]: but also, it is allowed neither to ascend or descend, unless there is faulx bordon, as mentioned before, which some believe can be made false in hypothesi and hyperboleothesi ranges; but reason does not recommend this, since it is against a preceding rule. Tenth: let all those composing a contra tenor in hypothesi, namely in the low range, learn to place perfect rather than imperfect consonances, except thirds with their aequisones [tenths]; this sound is moderated by a similar sound of consonance; about this Horace seems to speak when he says: It is not enough that poems be beautiful; they must also be sweet.92 If then I had added charts to all of these, or had taken heed to elucidate more clearly, I would have introduced tedium rather than pleasure for the readers; thus I wished to omit all [that], so that the mind of the reader is not confused by greed for reading. Si autem omnibus adiunxissem figuras, aut clarius elucidare attentassem [Bol: attemptassem], taedium potius legentibus quam voluptatem inferret; ideoque omnia omittere volui, ut lectoris animus aviditate legendi non confundatur. 91. Bol has faulx bordon in margin. 92. Ars Poetica 99. De Musica, Book II 205 Caput XII. Haec [Bol: Nee] igitur decern praecepta omnibus carminum compositoribus necessaria, antiquorum voluntate, visa sunt: sed apud modernos, qui, ut ait Priscianus, quanto iuniores, tanto perspicaciores sunt, multo plures sunt regulae, ita ut salva pace dixerim, nullum esse verum compositorem, nisi omnia huius libelli praecepta noverit. Non enim sufficit, componistam esse cantorem, sed & perfectum musicum, qui, cum aliis componere velit, quae [Bol: quod] cantent, & ipse quid agat sciat, ne incassum laboret; dicit enim Seneca: turpe est, aliud loqui, aliud cogitare; sed turpe est, aliud facere, aliud sentire, quia primum [354] in praesenti, aliud in futuro obesse potest. Oportet ergo irreprehensibilem esse componentem, quoniam caeteris praeest, ne aliquid faciat, quod in posterum [Bol: imposterum] fecisse poeniteat. Chapter XII. Thus these ten precepts for all composers of songs appeared necessary by the will of the ancients: but for the moderns 5 who, as Priscianus says,93 are as much more observant as they are younger, there are many more rules, so that I would have said, with all respect, 10 that there is no true composer unless he has learned all the teachings of this little book. It still does not suffice for a composer to be a singer, but 15 also [he must be] a perfect musician, who, since he would wish to compose for others what they sing, should also himself know what he does, lest he 20 labour to no purpose; for Seneca says:9^ it is shameful to say one thing and think another; but it is shameful to do one thing and know another, 25 since the former can harm in the present, but the latter in the future. The composer must be immune to all criticism, for he stands above the others; he 30 must never write anything of which he may repent later. 93. Institutiones grammaticae, proem. Quoted by Johannes; see Affl., p. 59; Babb, p. 107. 94. Ad Lucilium Epistulae Morales 24, 19, 4. De Musica, Book II 206 Postremo, si componens proportionibus uti velit, utatur musicalibus, quia caeterae [Bol: certe], paucis demtis, symphonia 40 carent. Studeat itaque eas caute fundare, ne alteram pro altera locet, quia aliud errori, aliud dedecori est. Deinde 45 figurarum genera, nam multiplicia sunt, indagare minime desinat, quia ornatum tenent & subtilitatem. Si vero 50 componens canonicis laborat cantilenis, plus intellectum quam obscuritatem quaerat, neve subtilitatis grandi ingenio 55 parta cantare desinat; nilo enim differt, si canon metricus sive prosaicus sit, quia regula est; multi enim dum obscuritatem 60 amant, peritis derisui sunt, quia rara obscuritas sine errore. Sed & ego ipse hac usus sum, ut verum loquar, plus ignorantiam 65 meam indicans, quam artis quid informans; miserrimi tamen ingenii esse praedicatur, qui [Bol: quia] utitur inventis, & 70 non inveniendis. Agat ergo quisque, quantum digne potest; si enim bene egeris, ipse tuae personae dabis auctoritatem, dicit 75 Socrates. Haec salva pace dicere volui, neque fictus neque tectus, omnibus enim placere non valeo. Nee tamen sine gravissimorum 80 iudicio virorum haec adgressus sum, quorum auctoritate fretus eo audacius procedere ausim, ac placentibus placere. 95. A similar adage is credited Liege; see Speculum Musxcae trace of it has been found Finally, if he wishes to use proportions in composing, let him use musical ones, since the rest, with few exceptions, lack harmony. Let him thus be zealous to establish these carefully, lest he put one in place of the other, since one is an error, and the other is a disgrace. Thence, let him by no means cease exploring the types of figures, for these are many, since they hold embellishment and subtlety. If, indeed, he works at composing chant based on the rules, let him seek understanding rather than obscurity, or let him not cease to sing products with the genius of great subtlety; for there is no difference whether it be metric or unmeasured song, since that is the rule; for many, while they love obscurity, are laughed at by the learned because obscurity is rarely without error. But to tell the truth, I too have made use of this, showing my ignorance rather than forming anything artful. Yet he proves he is a miserable talent who uses inventions and not what is to be discovered.95 Therefore let each do as well as he can, for if you have done well, you will give authority to your character, as Socrates said. I wished to say this, with all respect, without exaggeration or concealment, for I am not able to please all. Nor have I attempted this without the judgment of the most serious men, relying on whose authority I would dare to proceed with this all the more boldly, and to please those who are accepting. to Boethius by Jacques de CSM 7, v. 2, p. 13. No n Boethius, however. It De Musica, Book II 207 Caput XIII. Tonus est discretio vel cognitio principii & finis ascensus ac descensus cuiuslibet melodiae regularis;96 vel sic: tonus 5 est regula docens finem perfectum regularium symphoniarum. Tonum autem non modalem, id est, in modis captam consonantiam 10 symphoniae puto, sed melodialem aut formalem puto tonum. Aliqui autem tonos tropos a convenienti conversione dicunt; aliqui 15 modos a moderando, Graeci autem phthongos, nos tonos vocamus, licet Guidoni incongruum videatur, hoc autem Iohannes pulcre 20 excusat. Chapter XIII. Tonus is the discernment or recognition of the beginning and ending, ascent and descent, of any regular melody; or thus: tonus is the rule teaching the perfect end of regular harmonies. I consider [here] melodic and formal, not intervallie mode, that is, the consonance of the melody kept in the interval. Some people, however, say "trope" for mode from a suitable "turning back"; others say mode from moderando [regulating], but the Greeks say phthongos, and we call them tones, although it seems inconsistent with Guido; but Johannes explains this well enough.97 does resemble part of the Pseudo-Varro quotation which Adam uses in his Prologue to Book II. See above, Prologue, lines 40-42. 96. This definition is almost exactly that in Liber Musicalium (attributed by Coussemaker to Philippi de Vitriaco, 14th century), CS III, p. 35. 97. See Guido, p. 133, Babb, p. 66. This passage is taken directly from Johannes; see Affl. p. 77, Babb, p. 115. It is also quoted by Jerome (Cserba, p. 153) and Conrad von Lor en z (Gvimpel, p. 218). De Musica, Book II 208 Olim tauten antiqui musici, cum tonum musicalem tantummodo consonantiam appellarent, grammatici 25 orationis accentus usurpato vocabulo etiam tonos appellare coeperunt. Et quia inter accentus prosaicae locutionis & 30 psallendi modos non parvam similitudinem esse constat, generale nomen hoc esse utrisque sanxerimus; sicut enim toni accentus 35 tripartitus est, scilicet gravis, acutus & circumflexus, sic & prosae, sed pausas prosales colon, comma, periodum, id est, 40 membrum, incisio, clausura, nam omnium rerum finis est periodus, hoc musici diastema, systema, teleusimque voluerunt 45 vocare. De his scire volens Iohannem inspiciat. Formerly, then, since ancient musicians only called a musical consonance a tone, grammarians, taking over the term, began to call accents of speech tones. And since it is agreed that there is no small similarity between the accents of spoken prose and the modes of singing, we confirmed this as the name in general in both cases; as the accent of tone is tripartite, then, namely grave, acute, and circumflex, thus also with prose; but the prose pauses (colon, comma, period), that is, membrum, incisio, clausura (for the period is the end of all things), musicians wished to call diastema, systema and teleusis. Let anyone who wishes to know about this examine John.98 (Chart; see Appendix C, nos. 19 and 20.) [355] Sed licet tonorum octo sint, Ragenonis tamen 50 probari sententia non possunt, nisi septem dissimiles inter se distantes soni, horum conscius Virgilius ait: 55 But although there are eight modes, they cannot be demonstrated by the words of Regino", unless there are seven separate sounds distinct among themselves; Virgil, recognizing this, says: Est mihi disparibus septem compacta cicutis fistula. I have a pipe made of seven unequal hemlock stalks.100 quia emensis septem vocibus eadem repetuntur. Quod idem notare videtur, ubi dicit: 60 since the seven are each repeated by measured out syllables. The same one [Virgil] seems to note this when he says: 98 99. 100 This entire paragraph is a paraphrase of Johannes. See Affl. pp. 78-80; Babb, p. 116. See Babb's n. 9, p. 116 regarding use of some of the terms in Isidore and Berno. De harmonica institutione (c. 900), GS I, pp. 230 ff. Eclogues II, 36. De Musica, Book II 209 Obloquitur numeros septem discrimina vocum. 65 Tonorum autem ideo octo ponimus: nam sicut octo partibus continetur omne, quod dicitur, sic omne, quod canitur, octo 70 moderatur tonis. His utimur, differentiisque eorum, quae peritorum cantorum placito sunt adinventae, necessariae 75 quidem in ecclesiastico officio multis rationibus, propter psalmorum variationem, propter antiphonarum inchoationem; 80 ita ut interdum differentia plus congrua videatur vero tono, quem Gregorianistae Evovae vocant, id est, seculorum amen, propter 85 psalmorum finem; nam finis dat tonum, sicut generale est proverbium: in fine videbitur, cuius toni. He accompanies their measures with seven different notes.101 We therefore posit eight tones: for as all is contained by eight parts [of speech], as it is said, thus all that is sung is regulated by eight tones.102 (Chart; see Appendix C, nos. 21 and 22) We use these, and the differentiae of them, which were invented by agreement of expert singers, and indeed are necessary in the ecclesiastical office for many reasons, because of the variations of the psalms, and because of the incomplete antiphons; thus the differentia sometimes seems more consistent than the true tone, which the Gregorians call EUOUAE, that is "seculorum amen", according to the end of the psalms; for the ending gives the tone, as is the general saying: in the ending will be seen which tone [it is]. Caput XIV. Qui vero tonos memoriae commendare velit, oportet, ut tonorum litteras sciat initiales, finalesque sedium litteras. Sunt autem quatuor initiales, quatuorque finales. Chapter XIV. He who wishes to commit the tones to memory should know the initial letters of the tones and the final letters of the seats [of the tones]. There are four initials, and four finals. (Chart; see Appendix C, nos. 23 and 24) 101. 102 Aeneid 6.646. A frequently found quote in medieval treatises. See Affl. p. 72; Babb, p. 113, for example. Adam (or Gerbert) misquotes slightly; Virgil has numeris, not numeros. Taken from Johannes (Affl., p. 76; Babb, p. 115) and based on Guido (Guido, p. 150; Babb, p. 68). Also found in Jerome (Cserba, p. 152) and Conrad (Gumpel, p. 219). De Musica, Book II 210 [356] Formam vero tonorum ac melodiam veram regalium & subiugalium tibi sequens 10 ostendit cantilena. Si quis singulorum cupit tonorum scire melodiam, hanc attendat normam. Et sic fine brevi studioque 15 levi poterit hie scire tonos diffinire. The following song then shows you the form of the tones and the true melody of ruler [authentic] and subject [plagal].103 If someone desires to know the melody of single tones, let him pay attention to this rule. (Chart; see Appendix C, nos. 25 and 26) And thus with a quick end and easy study this person will be able to know how to define these tones. Caput XV. Quilibet autem tonorum uni hominis accidentium aptari potest aut complexioni, quod pulcre Guido his notavit versibus: Omnibus est primus,sed & alter, tristibus aptus: Tertius iratus, quartus dicitur fieri blandus. Quintum da laetis, sextum pietate probatis. Septimus est iuvenum, sed postremus sapientum. [357] De hoc Naso innuit: Laeta quidem laetis cecini, cano tristia tristis. Chapter XV. Any of the tones occurring, then, can be fitted to one single man or temperament, which Guido recorded 5 beautifully in these verses: The first [mode] is fit for all, and the second for the sad: The third is said to tend 10 to the angry, the fourth to the alluring. Give the fifth to the happy, and approve the sixth for piety. 15 The seventh is youthful, but the last is wise.104 Ovid made note of this: When I was happy, I sang 20 happy songs; sad, I sing sad ones.10^ 103. These alternative terms probably first occur in the anonymous Commemoratio Brevis; see Apel, p. 133, n. 1. 104. This verse has not been found in any works of Guido, nor in any other treatises on the TML. 105. Epistulae ex Ponto, III, 9, 35; also slightly misquoted. Ovid has laetus for laetis. De Musica, Book II 211 Tenemur autem ambitu regulari, ut Bernoni placet. Ambitus autem tonorum, ut refert Oddo in 25 Enchiriade est certa lex ascendendi & descendendi cuiuslibet cantus regularis.106 Igitur omnis authentus a sua finali sede 30 ascendere habet diapason, licentialiter autem nonam aut decimam: descendunt autem a finali in proximam. Plagales autem ascendunt 35 usque diapente, licentialiter ad sextam aut septimam: descendunt vero ad diatessaron,107 ut omnium musicorum voluntas 40 est, praesensque modernorum opinionum locutio convenit. 01im vero quatuor phthongos veteres invenerunt, quibus usi sunt ad similitudinem 45 quatuor temporum: sicut quatuor temporibus variantur secula, sic quatuor modis variatur omnis cantus. Hoc 50 psalmista notare videtur, ut scribitur psallite Deo nostro, psallite, psallite regi nostro, psallite.110 Unde quatuor tantum 55 habentur finales. Sed & nos moderniores, qui figurato utimur cantu, continuo his utimur tonis, hoc est binis ac binis, aut 60 uno antiquorum. We are bound, then, by a regular range, as it please Berno.108 The range of the tones, as Odo mentions in the Enchiriade,109 is a sure law of any ascending and descending regular song. Therefore every authentic [tone] has to ascend an octave from its final place, or more freely a ninth or tenth: and they descend from a final to the next [note below]. The plagals ascend to a fifth, more freely to a sixth or seventh: but they descend to a fourth, as is the will of all musicians, and the present discourse of modern views agrees. Formerly the ancients discovered four phthongoi [tones], which they used in analogy with the four seasons: as the centuries change with the four seasons, thus all song varies [through] the four modes. The psalmist seems to note this, as it is written, "Sing to our God, sing, sing to our king, sing." Hence they have only four finals. But also we more modern people, who use figured song, continually use these tones, that is, by twos and twos, or by one of the ancients. 106. 107, 108, 109, 110 Exactly like a sentence in Amon's Anonymous; see Amon, p. 47. Closely adapted from Johannes; see Affl., p. 92; Babb, p. 122. Also quoted by Jerome; see Cserba, p. 157. Prologus in tonarium (c. 1030), GS II, pp. 69-72. Dialogus de musica (c. 935), GS I, p. 258. Bol has Berno, Odo in Enchiriade in margin. Taken from Johannes; see Affl., p. 76; Babb, p. 115. The quoted verse is Vulgate Psalm 46: 7. De Musica, Book II 212 Quatuor sunt toni antiquorum, protus vel argous, deuterus, tritus, tetrardus, quorum quilibet 65 continet secundum se duos alios, primum, secundum; tertium, quartum; quintum, sextum; septimum, octavum.111 Non tamen 70 dico, non posse nos uno contentari tono, sed quia modernis varietas placet, authentique ascendere, plagales vero descendere 75 habeant, ut hoc metro: Impar vult sursum, sed par ad infima tendit, unusque horum pro varietate non sufficiat, bis utimur, 80 aut uno veterum. There are four tones of the ancients, protus or argous, deuterus, tritus, tetrardus, of which any one contains according to itself two others; the first [contains] the second; the third the fourth; the fifth the sixth; the seventh the eighth. But I do not say that we cannot be content with one tone, but that variety pleases the moderns, and the authentics have to ascend but the plagals descend, as in this rhyme: Odd-numbered [tones] want to go upwards, but even-numbered ones tend downwards.112 and one of these does not suffice for variety, so we use two, or one of the ancients. 111. This sentence appears as a chart in Bol. See Appendix C, no. 27. 112. The source of this verse has not been found. De Musica, Book II 213 Caput XVI. Duobus autem hemitonium in b. fa. # mi. si necesse erit, concedimus, scilicet proto & trito, aliis vero duobus denegamus: sunt 5 tamen nonnulli, qui id trito regali omnino denegant, praesertim in actibus tonatis, cum hoc trito plagali, id est, 10 sexto totaliter attribuant. Miror ego, hoc regali denegari, quod plagali conceditur; nam incongruum rationi videtur, quia 15 totius toni hemitonium ornatus est: certa enim poeniteat, qui domino ornatum aufert, & servo tribuit. 20 Chapter XVI. In two [psalm tones] we allow a hemitonium [mediant] in b fa # mi if necessary, namely protus and tritus, but we reject [it] in the other two: there are some however who reject it entirely for the authentic tritus, especially in actual sounding, since they assign this to plagal tritus, that is, the sixth [tone]. I do wonder that this is denied to the authentic when to the plagal it is allowed; for it seems inconsistent with reason, since the "hemitone" of every tone is adorned; and he would certainly regret it who removes ornament from the lord and grants it to the servant.113 113. This metaphor may be based on Johannes; see Affl., p. 93; Babb, p. 123. It seems to be a play on words with the terms for "authentic" and "plagal". De Musica, Book II 214 Cumque omnium tonorum opus sit, finaliter pulcre concludere cantus, quis non intelligat, quartum hemitonio allato bisonum esse, cum leviter incipiat, dureque concludat in actibus tonatis? Sed veteres hoc trito concesserunt, qui ambos continet authentum & plagalem: hoc nostri irritum faciunt, ac veterum opinionem reiiciunt, cum plagalem plus regali faciunt, ipsi admittentes, quod authento denegant. Insuper cum eius sedes finalis per hypate meson sit, vitiosum eum faciunt, tritonum superinducentes, qui ab omnibus musicis tamquam irregularis & incongruentissimus sonus vitari perhibetur. Sunt & alii, qui tonorum proprietates [358] non intelligentes pro tertio octavum, pro quarto primum, aut pro sexto septimum ponunt, ut aperte in eorum patet carminibus. Sed calamo manum subtrahere volo, ne omnes iniuria, ut ipsi aiunt, comprimere videar: omnia tamen peritorum iudicio corrigenda relinquo musicorum. Since it is needed for all tones finally to end the song beautifully, who would not understand the fourth bisonum 25 to have been applied to the "hemitone", since it begins easily, and finishes harshly in practice? But the ancients allowed this to the tritus 30 which contains both authentic and plagal: people of our time make this invalid, and reject the idea of the ancients when they make the plagal more 35 ruling [authentic], themselves allowing what they deny to the authentic. Moreover, since its final place is through hypate meson [E], they do make this 40 faulty, introducing the tritone, which is asserted to be avoided by all musicians as an irregular and disagreeable sound. There are also others 45 who, not understanding the properties of the tones, use an eighth [tone] for a third, a first for a fourth, or a seventh for a sixth, as is 50 abundantly clear in their songs. But I wish to remove my hand from the reed,114 lest I seem to place all together unjustly, as they say 55 themselves: I leave, however, all corrections to the judgment of skilled musicians. 114. cf. Pliny, Historia naturalis XXXV, p. 80: "quod manum de tabula sciret tollere." De Musica, Book II 215 Caput XVII. Chapter XVII. Postremo tonum adiiciunt, quem peregrinum vocant; sed aliqui eum differentiam octavi esse affirmant: ego autem eumdem potius primi differentiam esse dicerem, cum in lichano hypaton, id est, in D. finale terminatur. Nullius tamen opinionem probare aut reprobare volo, nam ipse inter tonos non numeratur, & in figurata musica de differentiis nulla nobis cura est: quapropter nee tonorum differentias inferre volui, comprehenduntur enim omnes sub regali & subiugali proto, deutero, trito, tetrardo; non ergo necessarium fuit, quia apud nos continua est tonorum transpositio propter inaequalitatem vocum ad instrumenta. Ego quoque omnem cantum primi toni in lichanos meson finire cogor propter organum: nam baryphonizans - - -diapason lichanos hypaton in hypothesi attingere non valuit vera voce, ac in hyperboleothesi vix per a meson; itaque deficiente causa deficere solet & effectus, non enim ad voluntatem, sed ad utilitatem aliquando cantus transponitur. Finally they add the tone which they call peregrinus; but some assert that it is the differentia of the eighth 5 [tone]; I, however, would say rather that it is the differentia of the first tone, since it is terminated with lichano hypaton, that is, with 10 D final. I do not wish, though, to approve or reprove the view of anyone, for it is not numbered itself among the tones, and for us with figured 15 music, there is no concern about the differentiae: wherefore I did not wish to introduce the differentiae of the tones, for they are all 20 included under ruling [authentic] and subject [plagal] in protus, deuterus, tritus, tetrardus; it was therefore not necessary, since 25 for us the transposition of tones is continual due to the inequality of voice to instrument. I am also compelled to finish every song 30 of the first tone on lichanos meson [G] on account of the instrument: for it is not possible to touch the deep-sounding octave [of] lichanos 35 hypaton [D] in the hypothesis range with a true voice, and in the hyperboleothesis range scarcely through a meson; therefore it is usual for the 40 effect also to fail when the cause fails, for song is sometimes transposed not by choice, but for usefulness. De Musica, Book II 216 Habes hie, quae de tonis, ac Gregoriana vel plana musica, planoque cantu sentio, ac figurativi initium, qui huic 45 condependet, finemque partis secundae; cum enim paucos esse credimus, qui sano intellectu fundamenta intelligant, ut necessitas 50 ipsa exquirat, volui haec ita praeponere, demum in musicam mensuralem iter arripere. Absolvi ergo musicae planae partem 55 secundam in ordine, ut praetactum est, norma succincta inchoantibus, quo sistat gradum elevans, pro posse meo, ubi si pedem 60 fixerint, procul dubio aratrum tenentes post tergum non respicient. You thus have here what I think about tones, and Gregorian or plain music, and plain song, and the opening of the figures, which depends on this, and the end of the second part; since we believe that there are few who understand fundamentals with a sound intellect, as necessity itself requires, I wished to present this beforehand, thus at last to take the way towards measured music. I therefore related the second part on plain music in order (as was touched on before, the standard having been conciseness for beginners as much as I am able) so that he rising may plant his foot firmly; if they fasten their foot there, without a doubt they holding the plough will not look at those behind their backs.115 115. cf. Gospel of St. Luke, 9:62. De Musica, Book II 217 Narratio in praesens Narration in the present Congeriem immensae sonorum vidimus artis, Quae nimium mentem movit hucusque meam. Nunc abit, et pauca post visa est ilia redisse, Cui dabit initium et numerus atque modus. Castalides Musae praesidia ferte vocanti, Desinat ut simplex, et mensurata crescat. Atque meos Musa semper miserata labores Nunc etiam in nostro conatu fer opem. Iungito Pierides Liberthides Aganippides, Praestant obsequia nunc simul arte sua. Donet et Euterpe tibias, Polonia iungat Barbiton, Thespiades et choros et instrumenta, Ne manet obscurum nomen opusque meum. We have seen the mass of the boundless art of sounds, Which thus far has greatly stirred my mind. 5 Now it departs, and little after it seemed to have returned, To which number and mode will give a beginning. 10 Castalian Muses,11° bring patronage to the one who calls, So that simple [music] may cease and measured arise. 15 O Muse, always compassionate to my labours, Now too bring help in our undertaking. Join the Pierides, Liberthides, 20 Aganippides, Let them now provide their services along with their art. Let Euterpe too present pipes, 25 let Polonia add The lyre, and the Thespiades choirs and instruments, Lest my name and work remain in obscurity. 116. Most of the names mentioned are associated with the Muses. Castalia and Aganippe are sacred fountains, Pieriae and Thespiades are names referring to the Muses, Liber was Dionysus, and Euterpe was the Muse of lyric poetry (and thus of music). Polonia may be Polyhymnia, the Muse of mime. 218 APPENDIX C CHARTS AND DIAGRAMS 1. Bol: Diagram of Guidonian Hand, end of Chapter 1 V% u if/entH 219 2. G: Diagram of Guidonian Hand; from treatise of Elias Salomonis (GS III, p. 22) •a, i . r. ut I. clavis I. puniftum. A. re. II. puniftum. B. mi. III. punctum. e. la. mi. XIII. puniftum. f. fa. ut. VI. clav. XIV. puniflum. g. fol. re. ut. VII. clav. XV. puniftum. C. fa. ut. 11. clav. IV. puniftum. <2> d. la. fol. re. XII. puniftum. d d la. fol. XIX. ultimum puniflum. la. mi. re. XVI. puniflum. P. fol. re. V. puniftum. C. fol fa. ut. V. clav. XI. puniflum. c fol.fa. XVIII. puniflum. b t, fa. mi. XVII. puniflum. E. la. mi. VI. puniflum. fa. mi. X. puniflum. a. /* mi. re. IX. puniflum. G. fol.re. ut. IV. clav. VIII. puniftum. F. fa. ut. III. clav. VII. puniflum. 3. Bol: Chart of hexachords, end of Chapter 2 220 221 G: Chart of hexachords (GS I I I , p . 344) a r n 3 ^. duralis eft, aui durum & afperum fecit fonum, ratibneautem litters & foni dicitur tj. duralis. b. mollis eft, qui mollem ac levem fecit fonum, quo fit, ut ratione litters & fo-ni dicatur b. mollis. Naturalis eft, qui nee durum, nee mollem fecit fonum, fed partem ab bj. durali, & partem a b. molli fumit. -"1 7? hsc mccam prxbent Primus "1 tj duralis Secundus Tertius J incipit C T- ut. "J & (" L la. mi. I G. fol. re. ut. finitur e. la. mi. {_ g. fol. re. ut. J in [_ ee. la. mi. Primus Secundus Primus Secundus Initium & •finem. b. mollis incipit naturalis incipit F. fa.ut. ? & S d. la. fol. re. I habet fub fe < f. fa. ut. $ finitur ^ dd. la. fol. Quorum quisque a et f  fe duas voces J verus i C. fa. ut. 7 & 5 a- la- ""'• rft c. fol. fa. ut. $ finitur £ aa. la. mi. re. _ In C. naturaliter, f. b. mollis, G.que ^. duralis In A. naturaliter, D. b. molli, E.que ^. durali la. mi. fa. ut. fol. re. Speciality, Bol: Chart replacing Gerbert text, II/3/13-26 (GS III, p. 344) ' t'.y yi Bol: Chart replacing Gerbert text, II/3/40-42 (GS III, p. 344) +A<ji*++ U°tf- ford \ {/* vrc fas 222 Bol: Chart of gamut, hexachords and tetrachords, end of Chapter 4 •u -a Ujcvv^'°*aS ^ ^ J^^L-HJ^1-tfCf .V •51-v- $ & r o<fc t Hi f f c tf u = h^ to ^JlmU > ^ /*. A » • Vfc. •ft/ v\ a o h ,vv n i * / i • i . i tf LU^C X&f\aAej-\ * I » " 1 /M cT» G: Chart of gamut, hexachords and tetrachords (GS III, p. 345) ~G.-g-Ht-d-tfc-Sfe b. b. b.J& b. b. JK b. b. b.S b. b. b. b. « b. CO «3 rt U S ee. dd. cc. bb. aa. g-f. e. d. c. b. a. G. F. E. D. A. d A 4 E s o H •» _ « . - - - • - -- - - - - - - -. - _ - . . _ -_ > - - _ - /fl. - - - - /a. /b/. - - - - /*/ . | > . - • - / a . la. fol. / « • r*. <-> 3 "3 CA s c fol. re. o5 a c en 3 £ PU «!/.' re. re. ' af. ut. - -l 1 ' 1 1 1 i ! «5 1 * C3 o E <a 3 E i <n "5 3 " 3 CIS 3 -o a 3 O 0 0 - -/a. /o/. / « • /«/. re. ut. CO re Us 3 4 _ * CB C 3 -a r* 3 U CJ CO - - /a. 1 la. lfol. 1 /°*> / « • ! , /«• £ rm. mi.' re. re. ' ut. ut. ' - - ! — - -» » M M " " i " i - - - -- - . - - . CO "C "o CO -a c 3 O C/3 1 f 3 "a -tf-s? 3 tj -\ Superex-cellentes. "I f ExceUentes. j J • Acutae. • Finales. • • • Graves. . . 224 9. Bol: Chart replacing Gerbert text, II/5/12-27 (GS III, p. 346) 7) ' Wz. / " ^ V ^ > W # * 2 </*c*Uw t'^O0ri^' 10. Bol: Chart of mutations, end of Chapter 5 C *»> «i- \ W 'W ]i .*• «f pUt/u,; w M J . tj/Kvtuf flOj IC» **U Vfc/ / a-7**j ^*ci/ I > V 225 11. t: C h a r t of m u t a t i o n s (GS I I I , p . 346) Omnis clavis aut babet " » Unara vocem^ & funt qua-tuor Duas voces, & funt odo. Tres voces, & funt fex. ' «• ' r. ut. A. re. tj. mi. 1 la. " C. fa, ut. " D. fol, re. E. la, mi. F. /a , «*. e. la, mi. f. /a , ut. 1 fol, fa. _ J. /a, jbZ. _  "G. fol, re, ut." a. /a, mi, re. c.fol,fa,ut. d. la, fol, re. g.fol,re,ut. J. la,mi, re.. -» • nullam habent "mutationeoi duas habent mutationes. fex habent mutationes. verfus •verfus « • /* verfus • Si vox eft fim->pla, fiet muta-tio nulla. Si vox eft du-• pla, fiet muta-tio dupla. Si vox eft tri-•pla, fiet muta-tio fena. 12. Bol: Chart replacing Gerbert text, II/6/134-38 (GS III, p. 347) 226 13. Bol: Chart replacing Gerbert text, II/7/40-67 (GS III, p. 349) I -• * ^ ^  £ « N ^  S ^ ^3 * 227 14. Bol: Chart replacing Gerbert text, II/7/72-110 (GS III, p. 349) \ i. j * . i ^ I 5 * ,|.p r l i A ^ 1 -s 1 N 5 M'JVhl 5 s i ? v > i s 5 ^ 5 5 v. .X s * 4 * * ^ C * -1 ~3 .Si X 228 15. Bol: Chart of intervals, end of Chapter 7 (does not appear in Gerbert) fttftU 'cfixjfe-UtKAUiltW' I ~) Uniform] ' # * ft'** ^ ? /«*» ,KI t^i* Jt***'********** •> ioMnicv v**/o X > [»«• t*A* 7»«*M/ ' 1 i tvu i »*A'* 'e»»*-*» • * , J . to^*) «u»/u*» u**W*r 1 "Wei- "jV.ftml*-** * - » * HI MP^M y k JWk*>««-j -^rn **£$£ tArif ,C*n» Ctff-atf/toe.Wi'iM. fa^ vWiflrtul^m. ««rt '^Xii&X fax* cat*ytf> -7 -.. fc c "\ (fin*/*** ac*tft.Af4/vrfar J tbrtij 'ft/ay'axm' JtiAttitfh* • -" l rctK 1 ^'tivA^ituulum) "1 /f ' i f jVitftf 4 ' \rfnaS cum %**«•« ^ ^br fl J L . 1r**-*S'W/?*&71 <-• / c 16. Bol: Chart of intervals and note names, Chapter 9 end of Jualrtut/Mo Me$ts*iitr/lott-j' £"** yw'xJmtftc t m\\& list ^^.o^ ft*;!. I &ui{ * * * * * * * Vs •M 55< *» v ^ vfc ;c^  .^ I ?s5>S.85lJMS«3l H re M * 4 S | % £ trs x $41* s v . ^ £ s ^ Sep J l c T ^ ; ^ * s ^1 ^  ^S 3 ) «s sif- * V K ^ iN 17. G: Chart of intervals and note names (GS III, insert after p. 351) 2 W H Quadrup la B isd iapafon T r i p 1 a. Sonus i r r e g u l a r i s . O u p l a f u p e r b i p a r t i ens. D i a p a f o n . D i a p a f o n. Diateflaron. c/5 od o> Superadditio c o u o OJ c bn o Sti 01 rt o a 6 W c _o CJ u o t n " c d a us en 0 C o - Q a V "o u a . - C ra T J u a C u -a 6 a c ' t » o u. V a. a ca H "3 J3 cu >> _n .S -a 4-1 c c d C L C L u Q •X u <u CL a ra E *n cu X _2 « o OJ o J O U i t U a, CO a> ' a . Li4 J 3 E .5 c u "•u u ( U U l u a . .§ Cu Sesquialtera. Cu *\ fc -1 D u p 1 a. D u p 1 a. Epitrita. J M -Diapente. 03 CJ t l i cxi Sesquitertia. a t j _£T" « j Hucusque Boetii chords quindecim. c o "o OJ a . £ - . J 3 « J <u Z Cd c d E .5 c u u u cd E 3 JO I M i ? d o OJ CL J C H <*; £ B G U "SJ o u cd E cu « o a OJ E OJ N OJ - a u OJ z u E 3 ca a u Cd c d e "3 -JO o c u E bo 3 4 J N u c Cd I* c d C u . -ri B n u. cd d ( J cd E rt a c a . ca - Q i d 1 1 1 N ! J 3 1 I 2 CU ra cd - a u 3 J 3 1 u 1 1 -1 J 3 c .2 U E ra O . >-. J 3 ra 0 - . ta B cd C u M JJ E a u ' o « g ra cu tn cii S .2 •o CJ E Cd -S c/> C ca C JO 1 ! Q I I J 5 c o ra C u J 3 u ra CU ca Cui O c _D "ra _ Q . ' u _ C "n CU E OJ a . u . 2 a . ca u " u ^ c o ra Cu ja V ra CU CO _ t r E c d a , " o -S "C CL CA a 0 J u -H CL J-S B O C u E o c ra J 3 E ca O Ut C U < j cd "3 cr c d -d i a CO o u C o B u a o B O C u !*% m L, a c a ca -d d o ret C U ca OJ l- i u Cu Cxi (CI OJ ra U t—i a a « Cancus Syneinmenoi i nominatns Ter t ius b. mollis. H h i o X ! U 1 B o iS U ra 5 I a ra a . ca S f I I u a u a . Q C o & OJ c d a 3 C a - a 1 U o*i .I I d c d a. ra 5 1 1 1 H «i a a> a . ca a c o d u c d 5 i J M b l o O 11a; Cunt Conlbnantia: mulicales vere bipart i te. CO a . en eg Ji 1 1 CL, cd C ca a l § E u u OJ CL TO I - I OJ CL, i i ra OJ cu ra C ra • E u 0 0 ra M U CU I ra a . 1 1 u a . ra C ra C b§ •a E CU uo ra t i OS u, aj Cu c ra Oi Cu, X I p CO 231 18. Bol: Chart replacing Gerbert text 11/10/10-23 (GS III, p. 351) O tnui tat em tfayc J M*2 J 19. Bol: Chart of names of modes, Chapter 13 TerA'*/ I -J G: Chart of names of modes, Chapter XIII (GS III, p. 355) Tonorum ofto funt. ' Primus. Secundus. Tertius. Quartus. Quintus. Sextus. Septimus. Oftavus. Gentium Graecorum vocabulis didi. Docius. Hypodorius. Phrygius. Hypophrygius. Lydius. Hypolydius. Mixolydius. Hypomixolydius Bol: Chart of authentic and plagal modes, Chapter 13 r./u/e/rty veS /f*##Jy<$#fxl/ ) 233 22. G: Chart of authentic and plagal modes, Chapter 13 (GS III, p. 355) Tonus eft duplex. Autentus vel regularis omnis to-nus poGtus in numero impari, & funt quatuor. Plagalis aut fubiugalis eft omnis tonus paris numeri; & funt qua-tuor. Primus. Tertius. Quintus. Septimus. Secundus. Quartos. Sextus. Ottavus. 23. Bol: Chart of initials and finals of modes, Chapter 14 w. * * ^ / * , V i W A f / w /"c T o o . ^ a •S*tJ/M C-'for•&&*'*f #*>" <?*£ , e ^ & 9. - is. \ltii WVi \strL, Saj&rvt 4/r Sia rot* % 0 - )*V grtJS/jW C M^ *,. r ) . • « I S w U* c Y / 234 24. G: Chart of initials and finals of modes, Chapter 14 (GS III, p. 356) Incipit in ^ r a.« F.« G-Ui r Primus. Quartus. . Sextus. ! Secundus. Tertius. Quintus. . Oftavus. ' Septimus. u > verfus. < Finitur in < •p S Primus. '2 Secundus. P S Tertius. '\ Quartus. P £ Quintus. i Sextus. P 5 Septimus. . ' 2 Odavus. • verfus. « In a. pri. quart, cum fext fecundus incboat in F. Quatuor in locis inchoat cantus regularis. In c. ter. quint, cum o& fed feptimus incipit in d. In re Se. cum Pri. fed ter. quart explicit in mi. Quatuor in locis exit can-tus regularis. In fa. aut fex. fep. aut ocl. explicit in fol. 25. Bol: Musical example of modal formulae, Chapter 14 1 gjjggg 235 26. G: Musical example of modal formulae, Chapter 14 (GS III, p. 356) Protus. IE *H»3C Primus, Secundus. Tritus. * * » • TSZ S S M S _ _ _ — — _ _ ——————————— M M Quintus. Sextus. Deuterus. I Tertius. Quartus, Tetrardus, kg ^ W krf « * Septimus. Oftavus. 27. Bol: Chart replacing Gerbert text, 11/15/62-70 (GS III, p. 357) y\ yt/tf'r^JwM n VVe#7****& /2. * ° APPENDIX D PARALLEL PASSAGES FROM OTHER TREATISES TABLE OF PARALLEL PASSAGES, ADAM VON FULDA, DE MUSICA, BOOK II Adam II/1/81-85 II/2/65-74 II/3/8-20 II/3/26-30 II/6/100-167 II/6/220-243 II/7/3-5 II/7/40-66 II/9/68-79 11/10/107-118 II/12/5-9 II/13/1-5 11/13/13-48 11/13/64-69 11/15/26-29 11/15/29-39 11/15/46-54 Source Affligemensis Affligemensis Isidore Isidore Boethius Affligemensis Boethius Boethius Boethius Affligemensis Affligemensis Philippi de Vitriaco, Liber Musicalium Affligemensis Affligemensis Amon Anonymous Affligemensis Affligemensis Subject Monochord Ambrose and Gregory Three types of music Symphonia Definition of musician Need for a master Definition of modus Types of intervals Development of gamut Teachers Priscianus quotation Definition of tonus Tonus, grammar parallels Eight parts of speech Definition of ambitus Range of modes Four seasons parallel Full references to the sources will be found in the corresponding locations in the translation, Appendix B. SELECTED PARALLEL PASSAGES FOR COMPARISON Adam, II/3/8-20 (GS III, p. 344) Est tauten quaedam species & vocis & soni, alia soni non vocis, quidem sonus per Echo sonorum triformis est natura: harmonica, quae ex vocum cantibus constat: organica, quae ex flatu subsistit: rhythmica, quae ex chordarum administratione, intensione, pulsuque numeros recipit. Isidore (GS I, p. 21) Ad omnem autem sonum, qui materies cantilenarum est, triformem constat esse naturam. Prima est harmonica, quae ex vocum cantibus constat. Secunda organica, quae ex flatu consistit. Tertia rhythmica, quae impulsu digitorum numeros recipit. Adam, II/6/220-31 (GS III, p. 348) Nescientes scire nolunt, scientesque fugiunt, quaesiti impudenter obstrepunt, veritati resistunt, erroremque suum summo conamine defendunt, energumeni neque per se videntes, neque videntium ducatui obtemperantes, cum nulla res sine magistro discitur. Affligemensis (CSM 1, p. 66) Quodsi aliquando ut fit musicus eos de cantu, quem vel non recte vel incomposite efferunt, compellat, irati impudenter obstrepunt, veritati acquiescere nolunt suumque errorem summo conamine defendunt. Adam, II/6/231-43 (GS III, p. 348) Muta enim animalia ferarumque greges ductorem sequuntur, sed nostri nee ducem nee magistrum curant, omnia per se intelligentes: quos nulli melius quam ebrio comparaverim, qui domum quidem repetit, sed quo calle revertatur, ignorat. Sed & rota molaris aliquando discretum reddit stridorem, ipsa tamen quid agat penitus nescit. Affligemensis (CSM 1, p. 52) Cui ergo cantorem melius comparaverim quam ebrio, qui domum quidem repetit, sed quo calle revertatur penitus ignorat? Sed et molaris rota discretum aliquando reddit stridorem, ipsa tamen quid agat nesciens, quippe quae res est inanimata. Adam, II/7/3-5 (GS III, p. 349) Modus est soni acuti gravisque distantia vel intervallum. Boethius (Boeth. p. 195) Intervallum vero est soni acuti gravisque distantia. Adam, 11/10/107-18 (GS III, p. 352) Dicit primus, ut Guido ait, magister Bruno sic me docuit. Alter ait, ego a magistro meo Albino sic didici. Tertius vero, certa magister meus Odo aliter me informavit: quo fit, dum suum quisque praefert magistrum, tot sunt componendi diversificatores, quot sunt in mundo magistri. Affligemensis (CSM 1, p. 134) Dicit namque unus: Hoc modo magister Trudo me docuit; subiungit alius: Ego autem sic a magistro Albino didici; ad hoc tertius: Certe magister Salomon longe aliter cantat. Et ne te longis morer ambagibus, raro tres in uno cantu concordant, ne dum milie, quia nimirum dum quisque suum praefert magistrum, tot fiunt diversificationes canendi quot sunt in mundo magistri. Adam, II/13/1-5 (GS III, p. 354) Tonus est discretio vel cognitio principii & finis ascensus ac descensus cuiuslibet melodiae regularis. Philippi de Vitriaco, Liber Musicalium (CS III, p. 36) Tonus musice est discretio principii et finis, ascensus et descensus cujuslibet regularis cantus. Adam, 11/13/13-19 (GS III, p. 354) Aliqui autem tonos tropos a convenienti conversione dicunt; aliqui modos a moderando, Graeci autem phthongos, nos tonos vocamus, licet Guidoni incongruum videatur. Affligemensis (CSM 1, p. 77) Modi a moderando sive modulando vocati sunt, quia videlicet per eos cantus moderatur id est regitur, vel modulator id est componitur.... Tropi a convenienti conversione dicti; quomodocumque enim cantus in medio varietur, ad finalem semper per tropos id est tonos convenienter convertitur. Quos autem nos modos vel tropos nominamus, Graeci phtongos vocant. Et sciendum, quod eos tonos appellari Guidoni incongruem videtur et abusivum. Adam, 11/13/22-46 (GS III, p. 354) Olim tamen antiqui musici, cum tonura musicalem tantummodo consonantiam appellarent, grammatici orationis accentus usurpato vocabulo etiam tonos appellare coeperunt. Et quia inter accentus prosaicae locutionis & psallendi modos non parvam similitudinem esse constat, generale nomen hoc esse utrisque sanxerimus; sicut enim toni accentus tripartitus est, scilicet gravis, acutus & circumflexus, sic & prosae, sed pausas prosales colon, comma, periodum, id est, membrum, incisio, clausura, nam omnium rerum finis est periodus, hoc musici diastema, systema, teleusimque voluerunt vocare. Affligemensis (CSM 1, pp. 78-80) Cum ergo Latini antiqui consonantiam quandam in musica tantummodo tonum vocarent, grammatici etiam accentus orationis, vel distinctiones tonos appellare usurpato nomine coeperunt. Rursus Latini cantores non parvam esse similitudinem inter cantus et accentus prosaicae locutionis modosque psallendi considerantes, nomen hoc commune utrisque esse sanxerunt. Sicut enim toni id est accentus in tres dividuntur species, scilicet gravem, circumflexum, acutum, ita in cantu tres distinguuntur varietates.... Sicut enim in prosa tres considerantur distinctiones, quae et pausationes appellari possunt, scilicet colon id est membrum, comma incisio, periodus clausura sive circuitus, ita et in cantu. In prosa quippe quando suspensive legitur, colon vocatur; quando per legitimum punctum sententia dividitur, comma, quando ad finem sententia deducitur, periodus est.... Quod autem in prosa grammatici colon, comma, periodum vocant, hoc in cantu quidam musici diastema, systema teleusin nominant. Adam, 11/15/24-29 (GS III, p. 357) Ambitus autem tonorum... est certa lex ascendi et descendendi cuiuslibet cantus regularis. Amon Anonymous, p. 47 Pro quo nota: Quod cursus tonorum est certa lex ascendendi et descendendi cuiuslibet cantus regularis, INDEX OF NAMES (Pages in Gerbert text) Adam 381, 329 Agellius 338 Alcibiades 335, 337 Ambrose 343 Amphion 341, 359, 367 Andrechinus 347 Antiope 359 Antisthenus 331 Antoine de Busnois 341 Apollo 331 Apuleius 368 Archita 342, 372 Aristotle 333, 334, 337, 340 Aristoxenus 342 Asclepiades 334 Atys 351 Augustine 333, 336, 338 Augustus 335, 337 Aurelius 340 Bernard 366 Berno 341, 352, 357 Boethius 332, 334, 337, 340, 341, 342, 343, 347, 348, 350, 361, 366, 368, 371, 372, 373 Cassiodorus 334 Cato 350 Cicero 329, 331, 334, 336, 341, 348 Cobarus 331 Comicus 338 Corebus 351 Cyril 339 Dametas 336 David 334, 336 Democritus 347 Duffay 341, 342, 350 Elisha 334 Empedocles 334, 340 Epaphus 359 Eurydice 359 Euterpe 358 Evilmerodach 336 Fulgentius 366 Gerson 334, 335, 336, 337, 338, 339 Gideon 337 Gregory 341, 343 366 351, 370, Guido 341, 342 348, 350, 354, 356, Hermannus 349, Histiaeus 351 Homer 350 Horace 336, 34 362 Hyagnis 351 Ignatius 339, Innocent 338 Ioppas 334 Isaiah 336 Isidore 333, 3 Isocrates 331, Jean de Muris 351, 373 Jerome 330, 33 340, 341, Joachim 329, 3 Johannes 342, 348, 354, John 339 Joseph 340, 36 Joshua 337 Jove 340, 359 Jubal 340, 341 Juno 359 Lamech 341, 36 Licaon 351 Licentius 338, Linus Thibaeus Lycurgus 334 Lycus 359 Lysander 337 Macrobius 340 Maria 337 Mercury 351, 3 Michael 366 Moses 337, 340 Nero 335, 337 Nicomachus 351 Nictaeus 359 Nun 337 Odo 341, 349, 357, 366 Orpheus 331, 3 359, 367 Ovid 331, 332, 339, 342, 359, 360, 343, 347 351, 352, 366, 373 366 1, 347, 35 343 38, 341 341, 342 341, 350, 3, 336, 33 343, 348 81 343, 344, 366, 373 367 340 341 59 , 341 , 368 350, 352, 40, 341, 3 334, 336, 352, 357, 361 Pericles 335 Peter 330 Philip of Macedonia 335, 337 Philolaus 375 Pilgrinus 366 Plato 334, 340, 346 Pliny 339 Polonia 358 Priscianus 353 Proclus 334 Prophrastus 351 Prosper 362 Ptolemy 373, 342 Pythagoras 334, 335, 340, 341, 351, 366, 367, 368, 373 Regino 355, 366 Rufus Constantinus 334 Rusticus 348 Satyricus 331, 332 Saul 334, 336 Seneca 330, 337, 342, 353 Socrates 330, 334, 335, 350, 354 Solon 350 Symmachus 338, 366 Taurinus 334 Terence 332 Terpander 351 Themistocles 334 Theobald 366 Timotheus 351 Tubalcain 367 Tyrtaeus 337 Tysapherne 337 Varro 332, 341 Veritas 332 Virgil 332, 333, 334, 336, 340, 353, 355, 361 Xerxes 336 

Cite

Citation Scheme:

        

Citations by CSL (citeproc-js)

Usage Statistics

Share

Embed

Customize your widget with the following options, then copy and paste the code below into the HTML of your page to embed this item in your website.
                        
                            <div id="ubcOpenCollectionsWidgetDisplay">
                            <script id="ubcOpenCollectionsWidget"
                            src="{[{embed.src}]}"
                            data-item="{[{embed.item}]}"
                            data-collection="{[{embed.collection}]}"
                            data-metadata="{[{embed.showMetadata}]}"
                            data-width="{[{embed.width}]}"
                            async >
                            </script>
                            </div>
                        
                    
IIIF logo Our image viewer uses the IIIF 2.0 standard. To load this item in other compatible viewers, use this url:
http://iiif.library.ubc.ca/presentation/dsp.831.1-0088909/manifest

Comment

Related Items