Vector Phaseshaping

[gospodindilly-ops]

I’ve been looking at lightweight modern synthesis techniques and found Vector Phaseshaping (VPS).

It seems like a very good fit for FM-1:

• very low algorithmic complexity;
• much richer spectra than a simple oscillator;
• can produce formant-like, resonant and hard-sync-like timbres;
• can create harmonic and inharmonic sounds;
• modulation of the phase shape gives evolving sounds without expensive DSP.

There is already a working C++ implementation here:

https://github.com/ChuckFleming/pd-hybrid-synth

It can produce formant sweeps, hard-sync-like and strongly digital timbres without requiring a large physical model.

Why FM-1: very little persistent state and potentially only a few arithmetic operations around the existing oscillator/LUT infrastructure.

Proposal: implement a compact fixed-point VPS oscillator and benchmark it against DIGITAL/PHASE for CPU, code size and sound variety.