The Euclidean Algorithm Generates Traditional Musical Rhythms

Year: 2005 Authors: Godfried Toussaint

Core claim

Bjorklund’s rhythm-generation process has the same structure as Euclid’s algorithm, so traditional timelines can be produced efficiently as Euclidean rhythms.

Topics

Euclidean rhythms, traditional timelines, even pulse distribution, algorithmic music, binary sequences

Domains

Euclidean algorithm, greatest common divisor, combinatorics on words, binary sequences, number theory, music theory, ethnomusicology, world music

Methods

binary sequence modeling, recursive algorithm comparison, phylogenetic analysis, rhythmic classification, complexity analysis

Media

binary sequences, ostinatos, timelines, 16th-note grid

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.