In musical set theory, a set is a collection of discrete entities. Examples include pitch sets, duration sets, timbre sets (DeLone et. al., 1975, p.475). Musical set theory is a atonal or post-tonal method of musical analysis and composition which is based on explaining and proving musical phenomena, taken as sets and subsets, using mathematical rules and notation and using that information to gain insight to compositions or their creation. ... Pitch is the perceived fundamental frequency of a sound. ... For the popular Tamil film, see Rhythm (film) Rhythm (Greek = flow, or in Modern Greek, style) is the variation of the accentuation of sounds or other events over time. ... In music, timbre, also timber (from Fr. ...

A set form is the arrangement of an ordered set: prime form (the original order), inverse (upside down), retrograde (backwards), and retrograde inverse (backwards and upside down) (ibid). See permutation (music). It has been suggested that this article be split into multiple articles accessible from a disambiguation page. ... Categories: Wikipedia cleanup | Stub ...

A derived set is one which is generated or derived from consistent operations on a subset, for example Webern's Concerto, Op.24, in which the last three sets are derived from the first (ibid, p.474):

 B Bb D Eb G F# G# E F C C# A 

Represented numerically:

 0 11 3 4 8 7 9 5 6 1 2 10 

The first set being:

 0 11 3 4 

The second being the first transposed up eight semitones:

 0 11 3 4 + 8 8 8 8 -------- = 8 7 9 5 

A time-point set is a duration set where the distance in time units between attack points, or time-points, is the distance in semitones between pitch classes (ibid, p.476).

References

• DeLone et. al. (Eds.) (1975). Aspects of Twentieth-Century Music. Englewood Cliffs, New Jersey: Prentice-Hall. ISBN 0-13-049346-5.