Band-limiting

Band-limiting is restricting a waveform's harmonics so that, no matter how high the note, everything stays below Nyquist — half the sample rate.

Wavetable oscillators typically store several progressively low-passed copies of each table and switch or interpolate between them as pitch climbs — a mip-map approach that keeps high notes from aliasing while staying as bright as possible. Frame size bounds how far this can go: fewer samples per frame cap the number of partials the cycle can represent, which limits brightness at low pitches.