267edo
| ← 266edo | 267edo | 268edo → |
267edo is the equal division of the octave into 267 parts of 4.494382 cents each.
In the 5-limit, it tempers out both 129140163/128000000 and 274877906944/274658203125, enabling it to support both gravity and luna temperaments. In the 7-limit, it tempers out 1029/1024, 3136/3125, 50421/50000, 65625/65536, 9882516/9765625 and 28824005/28697814, enabling it to support gamelismic, hemimean and trimyna temperaments among others. In the 11-limit, it tempers out 243/242, 1375/1372, 4000/3993, 6144/6125, 8019/8000, 16896/16807, 30375/30184, 43923/43904 and 117440512/117406179. In the 13-limit, it tempers out 351/350, 1375/1372, 1575/1573, 2080/2079, 4096/4095, 4225/4224 and 59535/59488.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | -0.83 | +0.20 | +1.96 | +1.49 | -0.08 | -1.58 | -0.88 | +0.94 | -0.36 | +1.03 |
| Relative (%) | +0.0 | -18.5 | +4.5 | +43.6 | +33.2 | -1.7 | -35.3 | -19.7 | +20.9 | -8.1 | +23.0 | |
| Steps (reduced) |
267 (0) |
423 (156) |
620 (86) |
750 (216) |
924 (123) |
988 (187) |
1091 (23) |
1134 (66) |
1208 (140) |
1297 (229) |
1323 (255) | |