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20 - The evolution of rhythmic notation

from C - Time

Published online by Cambridge University Press:  28 March 2008

Thomas Christensen
Affiliation:
University of Chicago
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Summary

It is difficult to exaggerate the importance of rhythmic notation to the early history of Western art music. While the early chant repertories were by no means sung uniformly with even note values, our understanding of their rhythmic performance must remain speculative given the lack of any form of secure rhythmic notations. It was only in the thirteenth century that musicians in Paris first established a rudimentary notation to indicate rhythmic patterns using a system of six rhythmic “modes.” Over the next two centuries, as musical culture gradually evolved from one that was largely oral to one that was written, more precise rhythmic notations were developed to accommodate the increasingly complex polyphonic innovations of musicians. At the same time, though, it must not be overlooked that the development of increasingly precise rhythmic notations contributed to these innovations by allowing composers greater stylistic freedom. A good example can be seen in the emergence of the isorhythmic motet, which could not have come into existence without the development of new rhythmic notations. The principal innovation here was the “mensural” system by which ever more complex rhythmic relationships, allowing for duple or triple subdivisions of note values, could be expressed within the duration of a given unit of time. In the late fourteenth and early fifteenth centuries, rhythmic possibilities were further augmented through the use of a system of proportions. Eventually, however, a profusion of competing notational systems led to widespread confusion that the great theorist-reformer Tinctoris tried to eliminate in the late fifteenth century, although with only partial success.

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Publisher: Cambridge University Press
Print publication year: 2002

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References

Amerus, , Practica artis musicae (1271), ed. Ruini, C., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195025 (1977)Google Scholar
Anonymous, IV, De mensuris et discantu (after 1280, poss. early 14th c.), ed. Reckow, F. as Der Musiktraktat des Anonymous IV, 2 vols., Archiv für Musikwissenschaft, Bückeburg, Fürstliches Institut für Musikwissenschaftliche Forschung, 1918–27; Trossingen, Hohner-Stiftung, 1952–61 (1967)Google Scholar
Anonymous, VII, De musica libellus (postdates Franco), Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. de Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesh 1;Google Scholar
Anonymous, XII, Tractatus et compendium cantus figurati, ed. Palmer, J., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195035 (1990)Google Scholar
Anselmi, G.De musica, ed. Massera, G., Florence, L. Olschki, 1961Google Scholar
Apel, W.The Notation of Polyphonic Music, 900–1600, 5th edn., Cambridge, MA, Harvard University Press, 1953Google Scholar
Bent, M.On the Interpretation of Cut Circle C in the Fifteenth Century,” Journal of the American Musicological Society, University of Chicago Press, et al., 194853 (2000)Google Scholar
Bent, M.The Early Use of the Sign Ф,” Early Music 24 (1996)CrossRefGoogle Scholar
Berger, , Busse, A. M., “Cut Signs in Fifteenth-Century Musical Practice,” in Music in Renaissance Cities and Courts: Studies in Honor of Lewis Lockwood, ed. Owens, J. and Cummings, A., Warren, MI, Harmonic Park Press, 1997Google Scholar
Berger, , Busse, A. M., “Mnemotechnics and Notre Dame Polyphony,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 198214 (1996)Google Scholar
Berger, , Busse, A. M., Mensuration and Proportion Signs: Origins and Evolution, Oxford University Press, 1993Google Scholar
Birnbaum, S. as Johannes de Garlandia Concerning Measured Music, Colorado Springs, Colorado College Music Press, 1978; partial trans. inGoogle Scholar
Blackburn, B. J., Lowinsky, E. E. and Miller, C. A., eds., A Correspondence of Renaissance Musicians, Oxford, Clarendon Press, 1991Google Scholar
Burzio, N.Musices opusculum, ed. Massera, G. as Nicolai Burtii parmensis florum libellus, Florence, L. Olschki, 1975Google Scholar
Miller, C. as Practica musicae, Musicological Studies and Documents, ed. Carapetyan, A., American Institute of Musicology, Neuhausen-Stuttgart, Hänssler, 195720 (1968)Google Scholar
Compendium mensurabilis tam verteris quam novae artis, ed. Reaney, G. in Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195030 (1982)Google Scholar
Dietricus, , Regula super discantum (c. 1275), ed. Muller, H. as Eine Abhandlung über Mensuralmusik in der Karlsruher Handschrift St. Peter pergamen. 29a, Leipzig, B. Teubner, 1886Google Scholar
Discantus positio vulgaris (partly from c. 1225; the rest after 1280), ed. Cserba, S. M. O.P. in Hieronymus de Moravia O.P. Tranctatus de Musica, Regensburg, F. Pustet, 1935Google Scholar
Euclid, , The Thirteen Books of Euclid’s Elements, trans. Heath, T., New York, Dover, 1956Google Scholar
Franco, Cologne, Ars cantus mensurabilis (c. 1280), ed. Reaney, G. and Gilles, A., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195018 (1974)Google Scholar
Friedlein, G.Die Zahlzeichen und das elementare Rechnen der Griechen und Römer und des christlichen Abendlandes, Erlangen, A. Deichert, 1869; reprint Wiesbaden, M. Sändig, 1968Google Scholar
Frobenius, W.Zur Datierung von Fanco’s Ars cantus mensurabilis,” Archiv für Musikwissenschaft, Bückeburg, Fürstliches Institut für Musikwissenschaftliche Forschung, 1918–27; Trossingen, Hohner-Stiftung, 1952–61 27 (1970)Google Scholar
Fuller, S.A Phantom Treatise of the Fourteenth Century? The Ars nova,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 19826 (1985)Google Scholar
Gaffurio, F.Practica musice, Milan, G. Le Signerre, 1496; facs. Farnborough, Gregg, 1967, Bologna, Forni, 1972 and New York, Broude, 1979 trans. Young, I. as The “Practica musicae” of Franchinus Gafurius, Madison, University of Wisconsin Press, 1969Google Scholar
Gallo, F. A.Die Notationslehre im 14. und 15. Jahrhundert,” in Die mittelalterliche Lehre von der Mehrstimmigkeit, Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., Staatliches Institut fr Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 19845 (1984)Google Scholar
Gerbert, Aurillac, Œuvres de Gerbert, ed. Olleris, A., Clermont-Ferrand, F. Thibaud, 1867Google Scholar
Ginzel, F. K.Handbuch der mathematischen und technischen Chronologie: Das Zeitrechnungswesen der Völker, Leipzig, J. C. Heinrichs, 1906Google Scholar
Haas, M.Die Musiklehre im 13. Jahrhundert von Johannes de Garlandia bis Franco,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., Staatliches Institut fr Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 19845 (1984)Google Scholar
Hiley, D.Western Plainchant: A Handbook, Oxford University Press, 1993Google Scholar
Hothby, J.De cantu figurato, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. de Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 3 (1869)Google Scholar
Huff, J., Musicological Studies and Documents, ed. Carapetyan, A., American Institute of Musicology, Neuhausen-Stuttgart, Hänssler, 195731, 1973Google Scholar
Jacques, Liège, Speculum musicae, ed. Bragard, R., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 19503 (1955)Google Scholar
John, Garland, De mensurabili musica, ed. Reimer, E., Archiv für Musikwissenschaft, Bückeburg, Fürstliches Institut für Musikwissenschaftliche Forschung, 1918–27; Trossingen, Hohner-Stiftung, 1952–61 10–11 (1972)Google Scholar
Lambertus, , Tractatus de musica (c. 1275), in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. de Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 1 (1864)Google Scholar
Marchetto, Padua, Brevis compilatio, ed. Vecchi, G. in “Su la composizione del Pomerium di Marchetto da Padova e la Brevis compilatio,” Quadrivium 1 (1956)Google Scholar
Marchetto, Padua, Pomerium, ed. Vecchi, G., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 19506 (1961); partial trans.Google Scholar
McKinnon, J. in Source Readings in Music History, ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998Google Scholar
Menninger, K.Number Words and Number Symbols: A Cultural History of Numbers, trans. Broneer, P., Cambridge, MA, Harvard University Press, 1966Google Scholar
Michels, U.Die Musiktraktate des Johannes de Muris, Archiv für Musikwissenschaft, Bückeburg, Fürstliches Institut für Musikwissenschaftliche Forschung, 1918–27; Trossingen, Hohner-Stiftung, 1952–61 8 (1970)Google Scholar
Miller, C. as Burtius, N., Musices opusculum, Musicological Studies and Documents, ed. Carapetyan, A., American Institute of Musicology, Neuhausen-Stuttgart, Hänssler, 195737 (1983)Google Scholar
Murs, J., Libellus cantus mensurabilis, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. de Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 3 (1869)Google Scholar
Murs, J., Notitia artis musicae, ed. Michels, U., in Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195017 (1972), p. 75; partial trans.Google Scholar
Strunk, O. in Source Readings in Music History, ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998Google Scholar
Odington, Walter, Summa de speculatione musicae (c. 1300), ed. Hammond, F. F., in Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 1950– 14 (1970); Part IV trans.Google Scholar
Philippe, Vitry, Ars nova, ed. Reaney, G., Gilles, A., and Maillard, J. as Philippi de Vitriaco ars nova, Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 19508 (1964)Google Scholar
Plantinga, L. as “Philippe de Vitry’s Ars nova: a Translation,” Journal of Music Theory, New Haven, Yale University Press, 19575 (1961)
Prosdocimo, de’Beldomandi, Expositiones tractatus practice cantus mensurabilis magistri Johannis de Muris, in Prosdocimi de Beldemandis Opera, ed. Gallo, F. A., Bologna, Antiquae musicae italicae studiosi, 1966Google Scholar
Prosdocimo, de’Beldomandi, Tractatus practice de musica mensurabili ad modum italicorum, Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. de Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 3 (1869)Google Scholar
Reaney, G. ed., Early Fifteenth-Century Music, 7 vols., American Institute of Musicology, 1955Google Scholar
Riemann, , “Metric and Rhythmic Articulation in Music” Berry cites Musikalisches Dynamik und Agogik (1884).Google Scholar
Pinegar, S., “Exploring the Margins: A Second Source for Anonymous 7,” Journal of the American Musicological Society, University of Chicago Press, et al., 194812 (1993)Google Scholar
Smith, D. E., A Source Book in Mathematics, 2 vols., New York, Dover, 1959Google Scholar
Source Readings in Music History, ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998Google Scholar
Spataro, G.Tractato di musica di Giovanni Spataro musico bolognese nel quale si tracta de la perfectione de la sesqualtera producta in la musica mensurata exercitate, Venice, B. de Vitali, 1531; facs. Bologna, Forni, 1970Google Scholar
,St. Emmeram’s Anonymous, De Musica Mensurata (1279)
Strunk, O. in Source Readings in Music History, ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998, pp. 226–45Google Scholar
Tractatus figurarum (attr. Philippus de Caserta), ed. and trans. Schreur, P. as Treatise on Noteshapes, Lincoln, University of Nebraska Press, 1989Google Scholar
Ugolino, Orvieto, Declaratio musicae disciplinae, ed. Seay, A., 3 vols., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 19507 (1959–62)Google Scholar
Wegman, Rob, “Different Strokes for Different Folks? On Tempo and Diminution in Fifteenth-Century Music,” Journal of the American Musicological Society, University of Chicago Press, et al., 194853 (2000)Google Scholar
Wegman, Rob, “What is acceleratio mensurae?,” Music & Letters 73 (1992)CrossRefGoogle Scholar
Weyts, N., Regule, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. de Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 3 (1869)Google Scholar
Yudkin, J. as De Musica Mensurata: The Anonymous of St. Emmeram, Complete Critical Edition, Translation, and Commentary, Bloomington, Indiana University Press, 1990Google Scholar
Yudkin, J. as The Music Treatise of Anonymous IV: A New Translation, Musicological Studies and Documents, ed. Carapetyan, A., American Institute of Musicology, Neuhausen-Stuttgart, Hänssler, 195741 (1985)

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