Euclidean Rhythm Sequencer

Most of the world's rhythms are already Euclidean

Take k hits, spread them as evenly as possible across n steps — that's the whole idea, and the arithmetic doing the spreading is Euclid's greatest-common-divisor algorithm wearing a drum machine's clothes. Godfried Toussaint's observation, in his 2005 paper, is the reason this tool exists: E(3,8) is the Cuban tresillo. E(5,8) is the cinquillo. E(7,12) is the bell pattern that anchors West African 12/8 music. One rule, applied at different densities, keeps landing on rhythms that people spent centuries arriving at by ear.

Why it works so well in techno

Euclidean patterns are even without being square. Set a kick to E(4,16) and it's four on the floor; set a hat to E(7,16) over it and the two densities interlock into something that pushes. Give one lane 12 steps against another's 16 and they drift apart and realign over three bars — polymeter you can watch happening on the rings. The accent control runs a second Euclidean distribution across the hits themselves, which is where a static loop starts to groove.

Rotation changes feel, not density

The same pattern started from a different step is a different rhythm — E(2,16) is two hits on the one and the three until you rotate it by four, and suddenly it's a backbeat clap. Rotation is the cheapest groove tool there is, and almost nobody reaches for it. Found your tempo with the BPM & Key Analyser? It deep-links straight back here → When the rhythm's working, write the harmony with the Chord Progression Generator → and before the track ships, run the master through the LUFS Checker →