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.
The octave isn't sacred either: switch the period to the 3:1
tritave and 13 steps gives you Bohlen–Pierce, a scale that
skips octaves entirely and builds its harmony from odd ratios (3:5:7).
Playback is exact; the .mid downloads carry the tuning out (see the note below).
| interval | just ratio | just cents | nearest degree | EDO cents | error |
|---|
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. The .scl file carries the tuning into any Scala-aware synth — and back
into the Scala import/export page here.