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to Set Theory, by Larry Solomon (Pima College, Tucson, AZ)
includes a table
of pc set classes. Note that Solomon's list of prime forms is based
on transpositional but not inversional equivalence. He does, however,
relate inversionally equivalent set classes in his application of Forte
names. (His table lists, for instance, classes 4-27 (0258) and 4-27B (0368),
a pair reduced to 4-27 (0258) in Forte's classification). Solomon's table
also includes "descriptive names" for many set classes.
Helper, by James Halliday (Indiana University)
a Java applet set calculator, which yields normal form, prime form, Forte
name, and interval-class vectors of sets.
Forte, Allen. The Structure of Atonal Music.
New Haven: Yale University Press, 1973.
ML 3811 F66
An "Urtext" of pitch-class set analysis, by one of its chief developers.
The book's focus is on analytical method.
Rahn, John. Basic Atonal Theory. New York:
MT 40 R2
One of the basic sources for the study of pitch structure in atonal music.
The explanations are rather mathematical, but Rahn also attempts to address
the listening experience.
Straus, Joseph N. Introduction to Post-Tonal
Theory. Englewood Cliffs, NJ: Prentice Hall, 1990.
MT 40 S96 1990
An excellent introduction to both pitch-class set analysis and twelve-tone
analysis. Straus takes a topic which often seems dauntingly mathematical
and keeps its musical relevance clear. Includes analyses of twelve selected
|Page last modified 3 October
2001 / GRT