Twelve TheoryMath + Music Playground

Explore interactive music theory and music by numbers through Free Play, Math Mode, Chord Game, the Note Stage, Circle Counting, the Triad Chart, Church Modes, Harmonic Cone, Harmonic Wave, Waveforms, Harmonic Polygons, Tuning String, Sheet Music, Musical Circles, and Ear Training.

Interactive module

Harmonic wave

See one fixed string divide into the standing-wave patterns H1 through H12.

Starting octave
A3
FIXEDFIXEDThe dots are nodes—they remain still while the string vibrates.
SelectedH1 · whole string
Frequency1 × 216.00 = 216.00 Hz
Nearest note10 · A3

Tap a wave to hear it. Turn on Combine harmonics to build a complex sound.

Hn divides the string into n equal vibrating sections, so its frequency is n× the fundamental.

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