Classification and Phylogenetic Analysis of African Ternary Rhythm Timelines

Year: 2003 Authors: Godfried Toussaint

Core claim

The ten bell patterns form one combinatorial class and each can be derived from one of two canonical patterns by at most five swaps, with no additional ancestral rhythms suggested.

Topics

rhythm classification, phylogenetic analysis, bell patterns, time-line patterns

Domains

combinatorics, distance measures, graph-based phylogeny, cyclic permutations, music theory, Afro-American music, visual notation, ethnomusicology

Methods

combinatorial classification, swap-distance, Splits Graphs, interval-vector analysis

Media

8 bell timelines, box notation, convex polygons, clock analogy

Source status

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