Rhythm Math

Euclidean rhythms and the circle they are drawn on, as pure maths: Bjorklund's algorithm rotated onto its downbeat (E(3,8) is the tresillo, E(5,8) the cinquillo, E(7,12) the West African bell), the circular inter-onset intervals that name a pattern "3-3-2", rotation, a pulse record with velocity and accent that converts to and from a boolean mask, and the ring geometry — step angles, a fractional playhead's hand, and the vertices of the rhythm polygon. Maximal evenness is asserted exhaustively rather than assumed, and the ring convention is pinned bit-identical to pitch-class-clock's. No React, no DOM — testable in Node and safe to lay out on the server.