The Mathematics of Steve Reich’s Clapping Music
Year: 1998 Authors: Joel K. Haack
Core claim
Clapping Music can be modeled by a 12-cycle in S12, revealing combinatorial structure and suggesting broader permutation-based musical designs.
Topics
cyclic permutations, rhythmic variation, combinatorial music, group action
Domains
group theory, permutation groups, combinatorics, music composition, rhythm, minimalism
Methods
permutation analysis, orbit counting, combinatorial enumeration, order estimation
Media
clapping, rhythmic notation, percussive performance
Source status
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