# Euclidean Rhythms

**Track:** Audio-Visual & Generative Music — Advanced Creative Coding — proposed (50)
**Framework / surface:** Tone.js
**Level:** Medium
**Prerequisites:** Sequencing with Transport

**In one line:** The Bjorklund algorithm producing evenly distributed polyrhythms.

## Theory, aesthetics & inspiration

Godfried Toussaint's 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms" observed that distributing k onsets as evenly as possible across n steps reproduces rhythms found across world music — the Cuban tresillo and West African bell patterns among them. The distribution is computed by Bjorklund's algorithm, repurposed from a neutron-source timing problem, which recursively balances groups until the onsets are maximally spread. Sweeping k and n moves through a family of interlocking patterns, and layering several yields shifting polyrhythm. The aesthetic is the deep groove of evenness — figures that feel both mathematically inevitable and unmistakably danceable, ancient logic surfacing from a few integers.