Set theory (music) | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-27

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Set_theory_(music)


00:01:16 1 Mathematical set theory versus musical set theory
00:03:07 2 Set and set types
00:06:19 3 Basic operations
00:09:09 4 Equivalence relation
00:09:40 5 Transpositional and inversional set classes
00:10:35 6 Symmetry
00:16:00 7 See also
00:18:47 8 References



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SUMMARY
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Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts  for analyzing tonal music (Hanson 1960). Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music (Forte 1973), drawing on the twelve-tone theory of Milton Babbitt. The concepts of musical set theory are very general and can be applied to tonal and atonal styles in any equal temperament tuning system, and to some extent more generally than that.
One branch of musical set theory deals with collections (sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, melodic inversion, and complementation. Some theorists apply the methods of musical set theory to the analysis of rhythm as well.