A complex oscillator pairs two oscillators so one FM- or AM-modulates the other to enrich a simple wave
A complex oscillator couples two oscillators: one (the modulator) changes the frequency (FM) or amplitude (AM) of the other (the carrier). At low modulation depth the result is gentle vibrato or tremolo; at audio-rate depth, sidebands appear, adding harmonic and inharmonic partials to a simple carrier. Because even two sine sources suffice, complex spectra emerge from minimally complex material — this is the defining West Coast route to harmonic generation without subtractive filtering.
Examples
Carrier 440 Hz sine, modulator 110 Hz sine at audio rate: FM produces sidebands around 440 Hz (e.g. 330 and 550 Hz). Raising the depth adds further sidebands, moving the tone toward bell-like or metallic timbres.
Assessment
Describe how a complex oscillator’s output spectrum changes as modulation depth rises from zero to high. Which new frequencies appear, and are they harmonic or inharmonic relative to the carrier?