Twelve TheoryMath + Music Playground

Explore interactive music theory and music by numbers through Free Play, Math Mode, Chord Game, Circle Counting, the Triad Chart, Chord Progressions, Church Modes, the Counterpoint Game, WTC, Dodecachordon, Harmonic Cone, the Harmonics Quiz, Frequency Chart, 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 waves to add or remove harmonics and hear them together.

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

Appearance