Isorhythm

Isorhythms first appear in French motets of the 13th century, such as in the Montpellier Codex (Lanford 2011, 9). Although 14th-century theorists used the words talea and color—the latter in a variety of senses related to repetition and embellishment (Sanders and Lindley 2001)—the term "isorhythm" was not coined until 1904 by musicologist Friedrich Ludwig (1872–1930), initially to describe the practice in 13th-century polyphony. Ludwig later extended its use to the 14th-century music of Guillaume de Machaut. Subsequently, Heinrich Besseler and other musicologists expanded its scope further as an organizing structural element in 14th- and early 15th-century compositions—in particular, motets (Bent 2001; Taruskin 2010, 266). Some of the earliest works organized around isorhythms are early 14th-century motets by various composers in an illuminated manuscript of the Roman de Fauvel. Two of the era's most important composers of isorhythmic motets are Phillipe de Vitry (1291–1361) and Guillaume de Machaut (c. 1300–1377) (Latham 2002). Machaut's Motet No. 2, De souspirant/Tous corps qui de bien amer/Suspiro, is an example of typical 14th-century use of isorhythm (Randel 2003).

Isorhythm is a logical outgrowth of the rhythmic modes that governed most late medieval polyphony. Discarding modal-rhythmic limitations, isorhythm became a significant organizing principle of much of 14th-century French polyphony by extending the talea of an initial section to the entire composition in conjunction with variation of a corresponding color (Editors of the Encyclopædia Britannica 1998) harv error: no target: CITEREFEditors_of_the_Encyclopædia_Britannica1998 (help). "The playful complexity of ....[taleae] that mixes mensuration and undergoes diminution by half—became a typical, even a defining feature of motets in the 14th century and beyond" (Taruskin 2010, 266).

Structural diagram of the isorhythmic tenor in Johannes Alanus' Sub arturo plebs – Fons citharizantium – In omnem terram.

The structural diagram at right shows the isorhythmic tenor voice of a late 14th-century motet, Sub arturo plebs – Fons citharizantium – In omnem terram by Johannes Alanus (c. late 14th century), featuring threefold isorhythmic diminution. First staff: preexisting Gregorian cantus firmus melody, from the first antiphon for the first nocturn of the commons for Apostles, In omnem terram exivit sonus eorum ('their voice has gone out into all the world'). The cantus firmus of the motet is a perfect fifth higher than the original chant; notes used for the tenor marked in red. Second staff: isorhythmic tenor as notated in mensural notation. Numbers 1–3 and brackets indicate three rhythmically identical sequences (taleae). The three mensuration signs in the beginning define the pattern of diminution, indicating tempus perfectum cum prolatio maior, tempus perfectum cum prolatio minor and tempus imperfectum cum prolatio minor, respectively. (In the manuscript these signs are in fact found at the end of the line, together with a repetition sign.) Staves 2–5: abbreviated transcription into modern notation. Each line represents one full repetition of the tenor's melody (color), including the three taleae in each, resulting in a nine-part structure. (Within each color, only the first few notes of each talea are rendered here.) The three mensuration signs in the line above correspond to the change in time signatures: ⁹
₈, ⁶
₈, ⁴
₈ (Günther 1965, LI).

During the decades following and into the 15th century, upper voices became increasingly involved in isorhythmic organization. Many compositions became isorhythmic in all voices, a practice known as panisorhythm. In such compositions, the length of the "color" and "talea" are often unequal, causing the repetition of the melody in differing rhythmic patterns. As an example, if the "color" includes nine notes and the "talea" five, the "color" would have to be repeated five times before the two schemes again realign. Examples can be found in motets and Mass movements by John Dunstable, Johannes Ciconia and Guillaume Du Fay (Randel 2003).

A 15th-century Mass by a composer known only as Pycard found in the Old Hall manuscript (named for the English town in which it was eventually discovered), demonstrates the high sophistication and complexity of panisorhythmic techniques. The lower parts have a recurring color and talea that unite the composition. The upper parts have four different talea, one for each major section of the composition. The rhythmic relationship between upper and lower parts changes as the music progresses. Each quarter note in the lower part equals 4½ quarter notes in the upper parts, creating an uneven ratio of 4:9 that causes the parts to lose synchronization. The lower part then steadily contracts in a series of Pythagorean proportions (12:9:8:6) until the parts come back into alignment (Taruskin 2010, 409–10).

As an analytical concept, isorhythm has proven valuable for understanding musical practices in other cultures; for example, the peyote cult songs of certain North American Indian groups (Editors of Encyclopædia Britannica 1998) and the music of India and Africa (Coppini 2013, 6–39).

• Bent, Margaret (2001). "Isorhythm". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
• Coppini, Andrea (2013). "The Isorhythmic Technique and the Cycling Principles in Composition" (PDF). Retrieved 6 January 2017.
• Editors of Encyclopædia Britannica (1998). "Isorhythm". www.britannica.com. Encyclopædia Britannica, Inc. Retrieved 6 January 2017.CS1 maint: extra text: authors list (link)
• Günther, Ursula, ed. (1965). The Motets of the Manuscripts Chantilly Musée Condé. Bibliothèque, Biblioteca estense (Modena, Italy). [S.l.]: American Institute of Musicology.
• Lanford, Michael (2011). "A Reevaluation of Isorhythm in the "Old Corpus" of the Montpellier Codex". symposium.music.org/. The College Music Society Symposium. Retrieved 6 January 2017.
• Latham, Alison, ed. (2002). "Isorhythm". The Oxford Companion to Music. Oxford, England: Oxford University Press. p. 618. ISBN 978-0198662129.
• Randel, Don Michael, ed. (2003). "Isorhythm". The Harvard Dictionary of Music (fourth ed.). Cambridge, Massachusetts: The Belknap Press of Harvard University Press. ISBN 978-0674011632.
• Sanders, Ernest H., and Mark Lindley (2001). "Color". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
• Taruskin, Richard (2010). The Oxford History of Western Music, Volume 1. Oxford and New York: Oxford University Press. ISBN 978-0195384819.

• Apel, Willi (1959). "Remarks about the Isorhythmic Motet". In Les Colloques de Wégimont II, 1955: L'Ars nova; recueil d'études sur la musique du XIVᵉ siècle, edited by Suzanne Clercx-Lejeune, 139–48. Paris: Société d'Edition "Les Belles Lettres".
• Bent, Margaret (2008). "What Is Isorhythm?" In Quomodo Cantabimus Canticum? Studies in Honor of Edward H. Roesner, edited by David Butler Cannata, Gabriela Ilnitchi Currie, Rena Charnin Mueller, and John Louis Nádas, 121–43. Publications of the American Institute of Musicology: Miscellanea, No. 7. Middleton, WI: American Institute of Musicology. ISBN 978-1-59551-496-7.
• Bent, Margaret, and Andrew Wathey (2001). "Vitry, Philippe de [Vitriaco, Vittriaco]". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
• Cumming, Julie (2003). The Motet in the Age of Du Fay, revised reprint edition. Cambridge and New York: Cambridge University Press. ISBN 978-0-521-54337-8.
• Earp, Lawrence (2018). "Isorhythm". In A Critical Companion to Medieval Motets, edited by Jared C. Hartt, 77–101. Woodbridge: Boydell. ISBN 978-1-78327-307-2.
• Harbinson, Denis (1966). "Isorhythmic Technique in the Early Motets". Music & Letters 47, No. 2 (April): 100–109.
• Hartt, Jared C. (2010). "Tonal and Structural Implications of Isorhythmic Design in Guillaume de Machaut's Tenors". Theory and Practice 35:57–94.
• Hoppin, Richard H. (1978). Medieval Music. New York: W.W. Norton & Co. ISBN 0-393-09090-6.
• Leech-Wilkinson, Daniel (1982–83). "Related Motets from Fourteenth-Century France". Proceedings of the Royal Musical Association 109:1–22.
• Leech-Wilkinson, Daniel (1989). Compositional Procedure in the Four-Part Isorhythmic Works of Philippe de Vitry and his Contemporaries, 2 vols. Outstanding Dissertations from British Universities. New York and London: Garland University Press.
• Ludwig, Friedrich (1903–04). "Die 50 Beispiele Coussemaker's aus der Handschrift von Montpellier". Sammelbände der Internationalen Musik-Gesellschaft 5:177–224.
• Planchart, Alejandro Enrique (2013). "Proportion and Symbolism in Some Ars Antiqua Motets". Musica Disciplina 58:231–64.
• Sanders, Ernest H. (2001). "Talea". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
• Zayaruznaya, Anna (2015). The Monstrous New Art: Divided Forms in the Late Medieval Motet. Cambridge and New York: Cambridge University Press. ISBN 9781316194652.