FM Algorithm Layout

An FM synthesiser's operator routing diagram, as pure maths: which row each operator sits in (its distance from the audio bus, which is the patch's real modulation depth), which column (packed from a spanning forest so the picture is stable as you step through algorithms), the elbow path of every modulation edge, the lead from every carrier down to the bus, the self-feedback loop, a validator that catches cycles and inaudible operators, and a square-root-scaled ADSR thumbnail sized to fit inside an operator box. No React, no DOM — testable in Node and safe to draw with on the server.