Mathematical theory and

 

its discontents

 

Required Readings

 

Schuijer, Michiel. “Pitch-Class Set Theory: An Overture.” In Analyzing Atonal Music: Pitch-Class Set Theory and Its Contexts, Rochester: University of Rochester Press, 2008, 1–28. . Focus on pp. 1–13 and 17–25.

 

Satyendra, Ramon, "An Informal Introduction to some Formal Concepts from Lewin’s Transformational Theory," Journal of Music Theory 28/1 (1994), 99–141. Focus on concepts.

 

Carey, Norman. “Introduction." In Distribution Modulo 1 and Musical Scales. Diss., University of Rochester, 1998, pp. 2–8.

 

Brody, Martin. “'Music for the Masses': Milton Babbitt’s Cold War Music Theory.” The Musical Quarterly 77/2 (1993): 161–92. SCAN

 

Suggested Readings

 

Babbitt, Milton. “The Structure and Function of Musical Theory.” College Music Symposium 5 (1965): 49–60.

 

Babbitt, Milton. The Collected Essays of Milton Babbitt. Princeton: Princeton University Press, 2011.

 

Bernard, Jonathan W. “Chord, Collection, and Set in Twentieth-Century Theory.” In Music Theory in Concept and Practice, edited by David Beach James M. Baker, Jonathan W. Bernard, 11–51. Rochester: University of Rochester Press, 1997.

 

Forte, Allen. The Structure of Atonal Music. New Haven: Yale University Press, 1974.

 

Forte, Allen. “Pitch-Class Set Analysis Today.” Music Analysis 4/1-2 (1985): 29–58.

 

Grant, M. J. Serial Music, Serial Aesthetics: Compositional Theory in Post-War Europe. Cambridge: Cambridge University Press, 2001.

 

Johnson, Timothy A. Foundations of diatonic theory : a mathematically based approach to music fundamentals. Lanham, MD: Scarecrow Press, 2008.

 

Lewin, David. Generalized Musical Intervals and Transformations. New Haven/Oxford: Yale University Press/Oxford, 1987.

 

Lewin, David. Studies in Music With Text. Oxford: Oxford University Press, 2006.

 

Morris, Robert D. Composition With Pitch-Classes: A Theory of Compositional Design. New Haven: Yale University Press, 1987.

 

Rahn, John. Basic Atonal Theory. NY: Longman, 1980.

 

Rings, Steven. Tonality and Transformation. Oxford: Oxford University Press, 2011.

 

Roeder, John. “Transformation in Post-Tonal Music.” Oxford: Oxford University Press, 2014.

 

Straus, Joseph N. Introduction to Post-Tonal Theory. NY: W. W. Norton, 2016.

 

Tymoczko, Dmitri. A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. Oxford: Oxford University Press, 2011.