Twelve TheoryMath + Music Playground
Explore interactive music theory and music by numbers through Free Play, Math Mode, Chord Game, Harmonic Cone, Waveforms, Harmonic Polygons, Tuning String, Sheet Music, Musical Circles, and Ear Training.
Interactive module
Tuning string
Change only the length and hear what happens to pitch.
Choose where to cutKeep 1/2 of the string2:1 frequency · Octave
Tap the string to pluck it. Drag the glowing end handle to pull it longer or shorter.
Length100 cm100% of the starting length
Nearest note1 C4At the note center
Frequency261.63 HzStarting frequency
Keep 1/2 length → frequency becomes 2:1That makes a octave in just intonation. String length and frequency move in opposite ratios.
Pluck the string, then change its length and compare the pitch.
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