6edo

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6 Equal Divisions of the Octave

"whole tone"

6-edo divides the 1200-cent octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2.

Related EDOs

Notation

  • Notatable on a five-line staff with standard,

but not in plaintext.

Music

Dvandva by Milan Guštar.

The Good Boundless by Chris Vaisvil

Commas

6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.)

Comma Value (cents) Name Second Name Val
32/27 294.13 Pythagorean minor third | 5 -3 >
128/125 41.06 Diesis Augmented Comma | 7 0 -3 >
3125/3072 29.61 Small Diesis Magic Comma | -10 -1 5 >
393216/390625 11.45 Wuerschmidt Comma | 17 1 -8 >
2783927/2773137 6.72 Mutt Comma | -44 -3 21 >
49/48 35.70 Slendro Diesis | -4 -1 0 2 >
50/49 34.98 Tritonic Diesis Jubilisma | 1 0 2 -2 >
3136/3125 6.08 Hemimean | 6 0 -5 2 >
6144/6125 5.36 Porwell | 11 1 -3 -2 >
2401/2400 0.72 Breedsma | -5 -1 -2 4 >
121/120 14.37 Biyatisma | -3 -1 -1 0 2 >
176/175 9.86 Valinorsma | 4 0 -2 -1 1 >
385/384 4.50 Keenanisma | -7 -1 1 1 1 >
25/24 about, uh, seventy chromatic semitone a specific one | -3 -1 2 > |