Matthew Santa, "Defining Modular Transformations," Music Theory Spectrum 21:2 (1999): 200–29. Mappings to and from chromatic (mod12), octatonic (mod8), diatonic (mod7), whole-tone (mod6), and pentatonic (mod5) modular spaces in Bartók, Debussy, Stravinsky, and Schoenberg.
Jonathan De Souza, Music at Hand: Instruments, Bodies, Cognition (Oxford: Oxford University Press, 2017).
Idiomaticsy and Instrumental Spaces, pp. 55–63.
Kurt Rosenwinkel's Retuned Guitar, pp. 88–97.
Instrumental affordances and embodied transformations.
Videos for De Souza readings
Analysis of Bartók, "Chromatic Invention I," Mikrokosmos No. 91 Assignment posted on canvas or download it here as a Word doc; due May 4
Excerpts for Class 4 and Assignment 3
Frank Lehman, "Neo-Riemannian Theory at the Movies,“ from Hollywood Harmony: Musical Wonder and the Sound of Cinema (Oxford University Press, 2018).
Daniel Harrison, “Remarks on Fantasia on a Theme by Thomas Tallis by Ralph Vaughan Williams,” from “Three Short Essays on Neo-Riemannian Theory,” in The Oxford Handbook of Neo-Riemannian Music Theories (Oxford University Press, 2011), 564–77.
Richard Cohn, "Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations," Journal of Music Theory 41/1 (1997), 1–66. Richard Cohn, "Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective," Journal of Music Theory 42/2 (1998), 167–80. John Roeder and Scott Alexander Cook, "Triadic Transformation and Parsimonious Voice Leading in Some Interesting Passages by Gavin Bryars," Intégral 20 (2006), 43-67.