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11 - Notes, scales, and modes in the earlier Middle Ages

from A - Mapping tonal spaces

Published online by Cambridge University Press:  28 March 2008

Thomas Christensen
Affiliation:
University of Chicago
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Summary

The basis of most musical instruction, thought, and activity in the Western world is a particular conceptualization of pitch. We understand musical pitches as distinct sonic entities (“discrete pitch”), specifiable by name, and we mentally represent them as a series of points occupying higher or lower, intervallically defined positions on an imaginary, quasi-spatial, vertically aligned two-dimensional continuum – or basic “pitch space.” (We may also conceive the positions as defined by absolute pitch, determined by vibrational frequencies; this modern concept will not be considered here.) The pitches, or as I shall usually call them, “notes,” constitute a system defined by various intervallic and other relationships and comprising a multitude of specific structures, including our familiar major, minor, and chromatic scales. These conceptualizations of discrete pitch, pitch space, and pitch-intervallic scalar system have their ultimate origins in the music theory of Greek antiquity. But the particular scale system we use is the result of a long historical evolution, in which the most crucial developments occurred in the ninth and eleventh centuries. Sections I and II of this chapter, respectively, will provide a fairly detailed examination of those developments, together with others to which they are closely connected, especially those concerning the early stages of pitch notation, solmization, and the theoretical systematization of the church modes. Section III, a brief postscriptum, will indicate some of the developments of the later Middle Ages and early Renaissance, to c. 1500.

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Publisher: Cambridge University Press
Print publication year: 2002

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References

Aribo, Scholasticus, De musica, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 2 (1784)Google Scholar
Aribo, Scholasticus, De musica, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. Waesberghe, J. S. as Aribonis de musica, Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 19502 (1951)Google Scholar
Atkinson, C.Harmonia and the Modi, quos abusive tonos dicimus,” in Atti del XIV Congresso della Società Internazionale di Musicologia (1987), 3 vols., ed. Pompilio, A. et al., Turin, EDT, 1990Google Scholar
Atkinson, C.Das Tonsystem des Chorals im Spiegel mittelalterlicher Musiktraktate,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., ,Staatliches Institut für Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 1984– vol. iv Die Lehre vom einstimmigen liturgischen Gesang (2000) 4 (2000)Google Scholar
Atkinson, C.From ‘Vitium’ to ‘Tonus acquisitus’: On the Evolution of the Notational Matrix of Medieval Chant,” Cantus Planus (1990)Google Scholar
Atkinson, C.Modus,” Handwörterbuch der musicalischen Terminologie, ed. Eggebrecht, H. H., Stuttgart, F. Steiner, 1973– (1996)Google Scholar
Atkinson, C.On the Interpretation of Modi, quos abusive tonos dicimus,” in Hermeneutics and Medieval Culture, ed. Gallacher, P. and Damico, H., Albany, State University of New York, 1989Google Scholar
Atkinson, C.Parapter,” Handwörterbuch der musicalischen Terminologie, ed. Eggebrecht, H. H., Stuttgart, F. Steiner, 1973– (1979)Google Scholar
Atkinson, C.The Parapteres: Nothi or Not?,” Musical Quarterly 68 (1982)Google Scholar
Aurelian, Réôme, Musica disciplina, ed. Gushee, L. as Aureliani Reomensis Musica Disciplina, Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195021 (1975)Google Scholar
Aurelian, Réôme, Musica disciplina, trans. Ponte, J. as Aurelian of Réome: “The Discipline of Music”, Colorado Springs, Colorado College Music Press, 1968Google Scholar
Babb, W., trans., and Palisca, C. V., ed., Hucbald, Guido, and John on Music: Three Medieval Treatises, New Haven, Yale University Press, 1978Google Scholar
Bailey, T.De modis musicis: A New Edition and Explanation,” Kirchenmusikalishes Jahrbuch (1977–78)Google Scholar
Bailey, T.The Intonation Formulas of Western Chant, Toronto, Pontifical Institute of Medieval Studies, 1974Google Scholar
Barbera, A.Octave Species,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 19823 (1984)Google Scholar
Barbera, A., ed., Music Theory and Its Sources: Antiquity and the Middle Ages, South Bend, University of Notre Dame Press, 1990Google Scholar
Barker, A.Greek Musical Writings, 2 vols., Cambridge University Press, 1984–89Google Scholar
Bent, M. and Silbiger, A., “Musica ficta,” The New Grove Dictionary of Music and Musicians,, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001 vol. xviiGoogle Scholar
Berger, K.The Hand and the Art of Memory,” Musica disciplina 35 (1981)Google Scholar
Berger, K.Musica Ficta: Theories of Accidental Inflections in Vocal Polyphony from Marchetto da Padova to Gioseffo Zarlino, Cambridge University Press, 1987Google Scholar
Bernhard, M.Überlieferung und Fortleben der antiken lateinischen Musiktheorie im Mittelalter,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., ,Staatliches Institut für Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 1984– vol. III Rezeption des antiken Fachs im Mittelalter (1990) 3 (1990)Google Scholar
Bernhard, M.Das musikalische Fachschrifttum im lateinischen Mittelalter,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., ,Staatliches Institut für Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 1984– vol. III Rezeption des antiken Fachs im Mittelalter (1990) 3 (1990)Google Scholar
Bernhard, M.Textkritisches zu Aurelianus Reomensis,” Musica Disciplina 40 (1986)Google Scholar
Berno, Reichenau, Musica, ed. Rausch, A. as Die Musiktraktate des Abtes Bern von Reichenau, Tutzing, H. Schneider, 1999Google Scholar
Bielitz, M.Musik und Grammatik. Studien zur mittelalterlichen Musiklehre, Munich, Katzbichler, 1977Google Scholar
Boethius, A. M. S.De institutione musica, ed. Friedlein, G. as Anicii Manlii Torquati Severini Boetii De institutione arithmetica libri duo, De institutione musica libri quinque, accedit Geometria quae fertur Boetii, Leipzig, Teubner, 1867; reprint Frankfurt, Minerva, 1966Google Scholar
Boethius, A. M. S.De institutione musica, trans. Bower, C., ed. Palisca, C., as Fundamentals of Music, New Haven, Yale University Press, 1989Google Scholar
Bower, C.The Grammatical Model of Musical Understanding in the Middle Ages,” in Hermeneutics and Medieval Culture, ed. Gallacher, P. and Damico, H., Albany, State University of New York, 1989Google Scholar
Bower, C.The Modes of Boethius,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 19823 (1984)Google Scholar
Bower, C., ed. and trans., The Fundamentals of Music, by Boethius, A. M. S., New Haven, Yale University Press, 1989Google Scholar
Brockett, C. Jr.A comparison of the five monochords of Guido of Arezzo,” Current Musicology 32 (1981)Google Scholar
Chartier, Y.L’Œuvre musicale d’Hucbald de Saint-Amand: Les compositions et le traité de musique, Saint-Laurent Bellarmin, 1995Google Scholar
Crocker, R.Alphabet Notations for Early Medieval Music,” in Saints, Scholars and Heroes: Studies in Honor of Charles W. Jones, ed. King, M. and Stevens, W., Collegeville, MN, Saint John’s Abbey and University, 1979; reprint in Crocker, , Studies in Medieval Music Theory and the Early Sequence, Aldershot, VT, Variorum, 1997Google Scholar
Crocker, R.Hermann’s Major Sixth,” Journal of the American Musicological Society, University of Chicago Press, et al., 194825 (1972)Google Scholar
Crocker, R.Studies in Medieval Music Theory and the Early Sequence, Aldershot, VT, Variorum, 1997Google Scholar
Dialogus de musica, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. Coussemaker, E., 4 vols., Paris, A. Durand, 1864–76; facs. Hildesheim, G. Olms, 1963 1Google Scholar
Dialogus de musica, in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, trans. Strunk, W. O. as Dialogue on Music in Source Readings in Music History ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998Google Scholar
Duchez, M.-E.Déscription grammaticale et déscription arithmétique des phénomènes musicaux: le tournant du IXe siècle,” in Sprache und Erkenntniss im Mittelalter. Akten des VI. Internationalen Kongresses für mittelalterliche Philosophie der Société Internationale pour l’Etude de la Philosophie Médiévale. Bonn, 1977, Berlin, 1981Google Scholar
Duchez, M.-E.Jean-Scot Erigène premier lecteur du De institutione musica de Boèce?,” in Eriugena: Studien zu seinen Quellen. Vorträge des III. Internationalen Eriugena-Colloquiums, Freiburg-im-Breisgau, 27.–30. August 1979, ed. Beierwaltes, W., Heidelberg, Universitäts Verlag, 1980Google Scholar
Duchez, M.-E.L’émergence acoustico-musicale de terme ‘sonus’ dans les commentaires carolingiens de Martianus Capella,Documents pour l’histoire du vocabulaire scientifique 7 (1985)Google Scholar
Duchez, M.-E.La représentation spatio-verticale du caractère musical grave-aigu et l’élaboration de la notion de hauteur de son dans la conscience musicale occidentale,” Acta Musicologica, International Musicological Socety, Basel, Brenreiter et al., 192851 (1979)Google Scholar
Ellsworth, O.The Origin of the Coniuncta: a Reappraisal,” Journal of Music Theory, New Haven, Yale University Press, 195717 (1973)Google Scholar
Erickson, R., trans., and Palisca, C. V., ed., Musica enchiriadis and Scolica enchiriadis, New Haven, Yale University Press, 1995Google Scholar
Frutolf, Michelsberg, Breviarum de musica et Tonarius, ed. Vivell, C., Vienna, Akademie der Wissenschaften, 1919Google Scholar
Fuller, S.An Anonymous Treatise dictus de Sanco Martiale: A New Source for Cistercian Music Theory,” Musica Disciplina 31 (1977)Google Scholar
Fuller, S.Theoretical Foundations of Early Organum Theory,” Acta Musicologica, International Musicological Socety, Basel, Brenreiter et al., 192853 (1981)Google Scholar
Gallacher, P. J. and Damico, H., eds., Hermeneutics and Medieval Culture, Albany, State University of New York, 1989Google Scholar
Gollin, E.From Tonoi to Modi: A Set-Transformational Approach to Reception History,” paper presented at meeting of Music Theory Society of New York April, 2001Google Scholar
Gombosi, O.Studien zur Tonartenlehre des frühen Mittelalters,” 3 parts, Acta Musicologica, International Musicological Socety, Basel, Brenreiter et al., 192810 (1938); 11 (1939); 12 (1940)Google Scholar
Guido, Arezzo, Epistola de ignoto cantu (ad Michahelem), in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, ed. Coussemaker, E., 4 vols., Paris, Durand, A., 1864–76; facs. Hildesheim, G. Olms, 1963 2 (1784)Google Scholar
Guido, Arezzo, Epistola de ignoto cantu (ad Michahelem), in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, trans. Pesce, D. in Guido d’Arezzo’s “Regule rithmice,” “Prologus in antiphonarium,” and “Epistola ad Michahelem”: A Critical Text and Translation, Ottawa, Institute of Medieval Music, 1999Google Scholar
Guido, Arezzo, Epistola de ignoto cantu (ad Michahelem), in Scriptorum de musica medii aevi novam seriem a Gerbertina alteram collegit nuncque, trans. Strunk, O. as Epistle Concerning an Unknown Chant, in Source Readings in Music History ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998Google Scholar
Guido, Arezzo, Micrologus, ed. Waesberghe, J. S. as Guidonis Aretini Micrologus, Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 19504 (1955)Google Scholar
Guido, Arezzo, Micrologus, trans. Babb, W., ed. Palisca, C. in Hucbald, Guido, and John on Music: Three Medieval Treatises, New Haven, Yale University Press, 1978Google Scholar
Guido, Arezzo, Prologus in antiphonarium, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Waesberghe, J. S. as Guidonis Prologus in Antiphonarium, Buren, F. Knuf, 1975Google Scholar
Guido, Arezzo, Prologus in antiphonarium, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Gerbert, M., St. Blasien, 1784; facs. Hildesheim, G. Olms, 1963 2 (1784)Google Scholar
Guido, Arezzo, Prologus in antiphonarium, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., trans. Strunk, O. as Prologue to His Antiphoner, in Source Readings in Music History, ed. Strunk, Oliver; rev. edn., ed. Treitler, Leo, New York, Norton, 1998Google Scholar
Guido, Arezzo, Prologus in antiphonarium, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., trans. and ed. Pesce, D. in Guido d’Arezzo’s “Regule rithmice,” “Prologus in antiphonarium,” and “Epistola ad Michahelem”: A Critical Text and Translation, Ottawa, Institute of Medieval Music, 1999Google Scholar
Guido, Arezzo, Regule rithmice, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Waesberghe, J. S. as Guidonis Prologus in Antiphonarium, Buren, F. Knuf, 1975Google Scholar
Guido, Arezzo, Regule rithmice, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Gerbert, M., St. Blasien, 1784; facs. Hildesheim, G. Olms, 1963 2 (1784)Google Scholar
Guido, Arezzo, Regule rithmice, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., trans. and ed. Pesce, D. in Guido d’Arezzo’s “Regule rithmice,” “Prologus in antiphonarium,” and “Epistola ad Michahelem”: A Critical Text and Translation, Ottawa, Institute of Medieval Music, 1999Google Scholar
Gushee, L. A.Questions of Genre in Medieval Treatises on Music,” in Gattungen der Musik in Einzeldarstellungen, ed. Arlt, W. et al., Bern, Francke, 1973Google Scholar
Gushee, L. A., ed., Aureliani Reomensis Musica disciplina, Corpus Scriptorum de MusicaRome, American Institute of Musicology, 195021 (1975)Google Scholar
Hebborn, B.Die Dasia-Notation, Bonn, Orpheus, 1995Google Scholar
,Hermannus Contractus, Musica, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Gerbert, M., St. Blasien, 1784; facs. Hildesheim, G. Olms, 1963 2 (1784)Google Scholar
,Hermannus Contractus, Musica, in Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. and trans. Ellingwood, L. as Musica Hermanni Contracti, Rochester, NY, Eastman School of Music, 1936Google Scholar
Hiley, D.Western Plainchant: A Handbook, Oxford University Press, 1993Google Scholar
Hiley, D. et al., “Modus,” Die Musik in Geschichte und Gegenwart: allgemeine Enzyklopädie der Musik, 2nd edn., ed. Finscher, L., 21 vols., Kassel, Bärenreiter; Stuttgart, Metzler, 1994–, vol. vi, col.Google Scholar
Hucbald, Saint-Amand, De harmonica institutione, ed. with Fr. trans. by Chartier, Y. in L’Œuvre musicale d’Hucbald de Saint-Amand: Les compositions et le traité de musique, Bellarmin, Editions Bellarmin, 1995Google Scholar
Hucbald, Saint-Amand, De harmonica institutione, ed. with Ger. trans. by Traub, A., Regensburg, G. Bosse, 1989; Eng. trans. Babb, W., ed. Palisca, C. in Hucbald, Guido, and John on Music: Three Medieval Treatises, New Haven, Yale University Press, 1978Google Scholar
Hucke, H.Karolingische Renaissance und Gregorianischer Gesang,” Die Musikforschung 28 (1975)Google Scholar
Hucke, H.Towards a New Historical View of Gregorian Chant,” Journal of the American Musicological Society, University of Chicago Press, et al., 194833 (1980)Google Scholar
Hughes, A.Solmization,” The New Grove Dictionary of Music and Musicians, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001, vol. xxiiiGoogle Scholar
Huglo, M.Comparaison de la terminologie modale en orient et en occident,” International Musicological Society: Report of the Eleventh Congress, Copenhagen 1972, vol. II, Copenhagen, 1974Google Scholar
Huglo, M.Der Prolog des Odo zugeschriebene Dialogus de musica,” Archivfür Musikwissenschaft, Bückeburg, Fürstliches Institut für Musikwissenschaftliche Forschung, 1918–27; Trossingen, Hohner-Stiftung, 1952–61; Wiesbaden, F. Steiner, 196227 (1971) ff.Google Scholar
Huglo, M.Grundlagen und Ansätze der mittelalterlichen Musiktheorie von der Spätantike bis zur Ottonischen Zeit,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., Staatliches Institut fr Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 19844 (2000)Google Scholar
Huglo, M.L’Auteur de ‘Dialogue sur la musique’ attribué à Odon,” Revue de musicologie 55 (1969)CrossRefGoogle Scholar
Huglo, M.L’Introduction en occident des formules Byzantines d’intonation,” Studies in Eastern Chant 3 (1973)Google Scholar
Huglo, M.Le Développement du vocabulaire de l’Ars Musica à l’époque carolingienne,” Latomus 34 (1975)Google Scholar
Huglo, M.Tonary,” The New Grove Dictionary of Music and Musicians, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001, vol. XXVGoogle Scholar
Huglo, M.Un tonaire du graduel de la fin du VIIIe siècle (Paris, B.N. lat. 15139),Revue grégorienne 31 (1952)Google Scholar
Huglo, M.Les Tonaires: inventaire, analyse, comparaison, Paris, Société Française de Musicologie, 1971Google Scholar
Huglo, M. and Brockett, C., “Odo,” The New Grove Dictionary of Music and Musicians, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001, vol. XVIIIGoogle Scholar
Jacobsthal, G.Die chromatische Alteration im liturgischen Gesang der abendländischen Kirche. Berlin, J. Springer, 1897; facs. Hildesheim, G. Olms, 1970CrossRefGoogle Scholar
Jeffery, P.Oktōēchos,” The New Grove Dictionary of Music and Musicians, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001, vol. XVIIIGoogle Scholar
Jerome, Moravia, Tractatus de musica, ed. Cserba, S. M. O. P. in Discantus positio vulgaris, Hieronymus de Moravia O.P. Tractatus de Musica, Regensburg, F. Pustet, 1935Google Scholar
Johannes, Aegidius de Zamora, Ars musica, ed. and Fr. trans. Robert-Tissot, M., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195020 (1974)Google Scholar
Karp, T.Aspects of Orality and Formularity in Gregorian Chant. Evanston, IL, Northwestern University Press, 1998Google Scholar
Law, V.The Study of Grammar,” in Carolingian Culture: Emulation and Innovation., ed. McKitterick, R., Cambridge University Press, 1994Google Scholar
Levy, K., Emerson, J. and Hiley, D.Plainchant,” The New Grove Dictionary of Music and Musicians, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001, vol. XIXGoogle Scholar
Levy, K.On the Origin of Neumes,” Early Music History 7 (1987)Google Scholar
Lipphardt, W.Der karolingische Tonar von Metz, Münster, Aschendorff, 1965Google Scholar
Maître, C.La Réforme cistercienne du plainchant. Étude d’un traité theorique, Cîteaux, Brecht, 1995Google Scholar
Marchetto, Padua, Lucidarium in arte Musicae planae, trans. and ed. Herlinger, J. as The Lucidarium of Marchetto of Padua: A Critical Edition, Translation, and Commentary, University of Chicago Press, 1985Google Scholar
Markovits, M.Das Tonsystem der abendländischen Musik im frühen Mittelalter, Bern, P. Haupt, 1977Google Scholar
Mathiesen, T. J.Apollo’s Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages, Lincoln, University of Nebraska Press, 1999Google Scholar
McKinnon, J.The Emergence of Gregorian Chant in the Carolingian Era,” in Antiquity and the Middle Ages, ed. McKinnon, J., London: MacMillan, 1990.CrossRefGoogle Scholar
McKitterick, R., ed., Carolingian Culture: Emulation and Innovation, Cambridge University Press, 1994Google Scholar
Meyer, C.Die Tonartenlehre im Mittelalter,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., Staatliches Institut fr Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 19844 (2000)Google Scholar
Meyer, C.Mensura Monochordi: la division du monocorde (IXe–XVe siècle), Paris, Klincksieck, 1996Google Scholar
Möller, H.Zur Frage der musikgeschichtlichen Bedeutung der Akadamie Karls des Grossen: Die Musica Albini,” in Akademie und Musik: Erscheinungsweisen und Wirkungen des Akademiegedankens in Kultur- und Musikgeschichte, ed. Frobenius, W. et al., Saarbrücken, Saarbrücker Druckerei und Verlag, 1993Google Scholar
Müller, H.Hucbalds echte und unechte Schriften über Musik, Leipzig, B. G. Teubner, 1884; facs. New York, Broude, 1960Google Scholar
Musica, Scolica enchiriadis, ed. Schmid, H. as Musica et scolica enchiriadis una cum aliquibus tractatulis adiunctis, Munich, Bayerische Akademie der Wissenschaften, 1981Google Scholar
Musica, Scolica enchiriadis, trans. Erickson, R., ed. Palisca, C. as “Musica enchiriadis” and “Scolica enchiriadis”: Translated, with Introduction and Notes, New Haven, Yale University Press, 1995Google Scholar
Nowacki, E.The Gregorian Office Antiphons and the Comparative Method,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 19824 (1985–86)Google Scholar
Nowacki, E.The Syntactical Analysis of Plainchant,” in International Musicological Society, Report of the Twelfth Congress, Berkeley 1977, Basel, Bärenreiter, 1981Google Scholar
Oesch, H.Berno und Hermann von Reichenau als Musiktheoretiker, Bern, P. Haupt, 1961Google Scholar
Oesch, H.Guido von Arezzo. Bern, P. Haupt, 1954Google Scholar
Pesce, D.B Flat: Transposition or Transformation?,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 19824 (1986)Google Scholar
Pesce, D.The Affinities and Medieval Transposition, Bloomington, Indiana University Press, 1987Google Scholar
Pesce, D., ed. and trans., Guido d’Arezzo’s “Regule rithmice,” “Prologus in antiphonarium,” and “Epistola ad Michahelem”: A Critical Text and Translation, Ottawa, Institute of Medieval Music, 1999Google Scholar
Phillips, N. C.Classical and Late Latin Sources for Ninth-Century Treatises on Music,” in Music Theory and Its Sources: Antiquity and the Middle Ages, ed. Barbera, A., South Bend, University of Notre Dame Press, 1990Google Scholar
Phillips, N. C.Notationen und Notationslehren von Boethius bis zum 12. Jahrhundert,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., Staatliches Institut fr Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 1984– 4 (2000)Google Scholar
Phillips, N. C.The Dasia Notation and Its Manuscript Tradition,” In Musicologie médiévale: notations et séquences, Paris, Librairie Honoré Champion, 1987Google Scholar
Ponte, J., trans., Aurelian of Réome: “The Discipline of Music”, Colorado Springs, Colorado College Music Press, 1968Google Scholar
Powers, H., et al. “Mode,” The New Grove Dictionary of Music and Musicians, 2nd edn., ed. Sadie, S., 29 vols., London, Macmillan, 2001, vol. XVIGoogle Scholar
Raasted, J.Intonation Formulas and Modal Signatures in Byzantine Musical Manuscripts, Copenhagen, E. Munksgaard, 1966Google Scholar
Rankin, S.Carolingian Music,” in Carolingian Culture: Emulation and Innovation, ed. McKitterick, R., Cambridge University Press, 1994Google Scholar
Rausch, A.Die Musiktraktate des Abtes Bern von Reichenau. Edition und Interpretation, Tutzing, H. Schneider, 1999Google Scholar
Reckow, F.Organum-Begriff und frühe Mehrstimmigkeit. Zugleich ein Beitrag zur Bedeutung des ‘instrumentalen’ in der spätantiken und mittelalterlichen Musiktheorie,” in Forum Musicologicum 1, ed. Oesch, H. and Arlt, W., Bern, , Francke, , 1975Google Scholar
Reckow, F.Zur Formung einer europäischen musikalischen Kultur im Mittelalter. Kriterien und Faktoren ihrer Geschichtlichkeit,” in Gesellschaft für Musikforschung, Bericht über den internationalen musikwissenschaftlichen Kongress Bayreuth 1981, ed. Nahling, C.-H. and Wiesmann, S., Kassel, Bärenreiter, 1985Google Scholar
Sachs, K.-J.Musikalische Elementarlehre im Mittelalter,” in Geschichte der Musiktheorie, 10 of 15 vols. to date, ed. Zaminer, F., Staatliches Institut f7uuml;r Musikforschung Preussischer Kulturbesitz Berlin, Darmstadt, Wissenschaftliche Buchgessellschaft, 19843 (1990)Google Scholar
Seay, A.The 15th-Century Coniuncta: A Preliminary Study,” in Aspects of Medieval and Renaissance Music: A Birthday Offering to Gustave Reese, ed. La Rue, J., New York, Norton, 1966Google Scholar
Spitta, P.Die Musica enchiriadis und ihr Zeitalter,” Vierteljahrsschrift für Musikwissenschaft 5 (1889)Google Scholar
Strunk, O.Intonations and Signatures of Byzantine Music,” Musical Quarterly 31 (1945)Google Scholar
Strunk, O.The Tonal System of Byzantine Music,” Musical Quarterly 28 (1942)Google Scholar
Strunk, O.Essays on Music in the Byzantine World, New York, Norton, 1977Google Scholar
Tinctoris, J.de natura et proprietate tonorum, (1476) ed. Seay, A., Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195022/1 (1975)Google Scholar
Tinctoris, J.de natura et proprietate tonorum, (1476) trans. Seay, A. as Concerning the Nature and Propriety of Tones, Colorado Springs, Colorado College Music Press, 1976Google Scholar
Traub, A.Hucbald von St. Amand. De harmonica institutione,” Beiträge zur Gregorianik 7 (1989)Google Scholar
Treitler, L.‘Centonate’ Chant: ‘Übles Flickwerk’ or E Pluribus Unum?,’Journal of the American Musicological Society, University of Chicago Press, et al., 194828 (1975)Google Scholar
Treitler, L.Homer and Gregory: The Transmission of Epic Poetry and Plainchant,” Musical Quarterly 60 (1974)Google Scholar
Treitler, L.Sinners and Singers: A Morality Tale,” Journal of the American Musicological Society, University of Chicago Press, et al., 194847 (1994)Google Scholar
Treitler, L.The ‘Unwritten’ and ‘Written’ Transmission of Medieval Chant and the Start-Up of Musical Notation,” Journal of Musicology, Greenfield, OH, and St. Joseph, MI, Music Science Press, 1982–, 10 (1992)Google Scholar
Waesberghe, J. S., “The Musical Notation of Guido of Arezzo,” Musica Disciplina 5 (1951)Google Scholar
Waesberghe, J. S., Musikerziehung: Lehre und Theorie der Musik im Mittelalter, vol. III/3 of Musikgeschichte in Bildern, ed. Besseler, H. and Bachmann, W., Leipzig, VEB Deutscher Verlag für Musik, 1969Google Scholar
Warburton, J.Questions of Attribution and Chronology in Three Medieval Texts on Species Theory,” Music Theory Spectrum (The Journal of the Society for Music Theory), University of California Press, 197922 (2000)Google Scholar
Weakland, R.Hucbald as Musician and Theorist,” Musical Quarterly 42 (1942)Google Scholar
Wellesz, E.A History of Byzantine Music and Hymnography, 2nd edn., Oxford University Press, 1961Google Scholar
West, M. L.Ancient Greek Music, Oxford, Clarendon Press, 1992Google Scholar
Wilhelmus, Hirsau, Musica, ed. Harbinson, D. as Willehelmi Hirsavgensis Mvsica, Corpus Scriptorum de Musica, Rome, American Institute of Musicology, 195023 (1975)Google Scholar
Wille, G.Musica Romana. Die Bedeutung der Musik im Leben der Römer, Amsterdam, P. Schippers, 1967CrossRefGoogle Scholar

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