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Equal divisions of the octave

Split the octave into n equal steps of 1200 / n cents and you have an n-EDO tuning. Twelve is only the familiar one. Drag n to re-tune the keyboard live, and watch the table: some divisions (19, 31, 53) approximate the pure just intervals far better than our everyday 12 — that's why they're famous. Playback is exact; the .mid downloads carry the tuning out (see the note below).

12

The keyboard, retuned

How well does this EDO approximate just intervals?

intervaljust ratiojust centsnearest degreeEDO centserror

Download

Standard MIDI notes are locked to 12-ET, so the plain .mid is only the nearest-note approximation. The MPE file puts each note on its own channel with a pitch-bend to the exact tuning — load it into an MPE-aware instrument (Surge XT, Pianoteq, Ableton 11+…) to hear it microtonally.