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Oscillator syncing
Some analog synths (e.g. Prophet 5) implement oscillator syncing, where an oscillator waveform (typically a discontinuous one like sawtooth) is reset to phase 0 both by its own period and by zero-phase crossings of a second osc with a different frequency. This can give rich spectral content.
It's tricky to emulate in digital because of the intrinsic look-ahead needed for bandlimited waveforms, but maybe we can do it. I found the discussion in Brandt01 helpful.