Number Theory책들 소개

                  number theory,

And set theory…

Here is the recommended reading list from a seminar I gave on this a  few years back.

Lehrb?her
Forte, Allen. The Structure of Atonal Music. New Haven, Conn.: Yale  University Press, 1973.
Morris, Robert D. Class Notes for Atonal Music Theory. Hanover, New  Hamphsire: Forg Peak Music, 1991.
Morris, Robert D. Composition with Pitch-Classes. New Haven: Yale  University Press, 1987.
Rahn, John. Basic Atonal Theory. New York: Schirmer Books, 1980.

Weitere Literature
Alphonce, Bo Harry. “The Invariance Matrix.?Ph.D. dissertation, Yale  University, 1974.
Babbitt, Milton. “Set Strucuture as a Compositional Determinant.?JMT  5, no. 2 (1961): 72-94.
Babbitt, Milton. “Some Aspects of Twelve-Tone Composition.?nbsp; 12  (1955): 53-61.
Babbitt, Milton. “Twelve-Tone Invariants as Compositional  Determinants.?MQ 46, no. 2 (1960): 246-59.
Chrisman, Richard. “Identification and Correlation of Pitch-Sets.?nbsp; JMT 15, no. 1 and 2 (1971): 58-83.
Clough, John. “Diatonic Interval Sets and Transformational  Structures.?PNM 18, no. 1&2 (1979): 461-482.
Clough, John. “Pitch-Set Equivalence and Inclusion (A Comment on  Forte’s Theory of Set-Complexes).?JMT 9, no. 1 (1965): 163-71.
Forte, Allen. “Sets and Non-Sets in Schoenberg’s Atonal Music.?PNM  11, no. 2 (1972): 43-64.
Forte, Allen. “The structure of atonal music: Practical aspects of a  computer-oriented research project.?In Musicology and the Computer.  Musicology 1966-2000: A Practical Program. Three Symposia. New York:  American Musicological Society, 1970.
Hanson, Howard. Harmonic Materials of Modern Music: Resources of the  Tempered Scale. New York: Appleton-Century-Crofts, 1960.
Lewin, David. “Forte’s interval vector, my interval function, and  Regener’s common-note function.?JMT 21, no. 2 (1977): 194-237.
Lewin, David. Generalized Musical Intervals and Transformations. New  Haven, Conn.: Yale University, 1987.
Lewin, David. “Klumpenhouwer networks and some isographies that  involve them.?Spectrum 12, no. 1 (1990): 83-120.
Lewin, David. “A response to a response: On pcset relatedness.?PNM  18 (1979): 498-502.
Martino, Donald. “The source-set and its aggregate formations.?JMT  5, no. 2 (1961): 224-73.
Perle, George. Serial Composition and Atonality: An Introduction to  the Music of Schoenberg, Berg, and Webern. 3rd ed. Los Angeles,  California: University of California Press, 1972.
Rogers, John. “Some properties of non-duplicating rotational arrays.?nbsp; PNM 7, no. 1 (1968): 80-102.
Starr, Daniel, and Robert D. Morris. “A general theory of  combinatoriality and the aggregate.?PNM 16, no. 1 (1977): 3-35.
Wintle, Christopher. “Milton Babbitt’s Semi-Simple Variations.?PNM  14, no. 2 and 15:1 (1976): 111-54.

Leave a Comment.

This site uses Akismet to reduce spam. Learn how your comment data is processed.