Additive / FM Synthesis Dojo

Stack partials, watch the spectrum assemble, hear the timbre, then match the mystery sound.

Spectrum & Waveform

Spectrum — harmonic amplitudes energy Σaₙ² = 0.00
Waveform — one period of the summed signal f₀ = 220 Hz

Tip: drag directly on the spectrum bars to sculpt the timbre, or use the sliders on the right.

Partials

16 harmonics
Presets animate the Fourier series building the classic waves:

A carrier is frequency-modulated by a modulator. Sidebands appear at fc ± k·fm with amplitude |Jₖ(β)|.

Bandwidth (Carson) ≈ 2(β+1)·fm-
Significant sidebands (β+1 each side)-

A mystery timbre is hidden. Match it with the sliders (right of the Additive tab feed the same partials). Ghost bars reveal the target after you check.

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Press “New mystery” to begin.
The math behind it