Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis’s Herma
Year: 2000 Authors: Ronald Squibbs
Core claim
Herma exemplifies Xenakis’s applied mathematics by combining stochastic local pitch clouds with deterministic set-theoretic organization at larger structural levels.
Topics
stochastic music, set-theoretic composition, probability in music, formalized music
Domains
probability theory, set theory, group theory, stochastic processes, music composition, sound structure, avant-garde music
Methods
set operations, randomizing functions, pitch-class selection, temporal proportioning
Media
Source status
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