Asymmetric Rhythms, Tiling Canons, and Burnside’s Lemma

Year: 2004 Authors: Rachel W. Hall; Paul Klingsberg

Core claim

Burnside’s Lemma yields formulas for counting asymmetric rhythm cycles and r-note variants, with an application to constructing rhythmic tiling canons.

Topics

rhythm cycles, asymmetry, orbit counting, rhythmic tiling canons

Domains

combinatorics, group actions, Burnside’s Lemma, finite cyclic groups, music, ethnomusicology, rhythmic composition

Methods

binary encoding, group action counting, orbit enumeration, case analysis

Media

musical rhythm patterns, binary necklaces, drum tablature

Source status

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