256edo
| ← 255edo | 256edo | 257edo → |
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.17 | -1.94 | +1.49 | +2.34 | +1.81 | -1.47 | -0.77 | -1.83 | -2.20 | -2.03 | -0.15 |
| Relative (%) | +25.0 | -41.4 | +31.7 | +49.9 | +38.6 | -31.3 | -16.4 | -39.0 | -46.9 | -43.3 | -3.2 | |
| Steps (reduced) |
406 (150) |
594 (82) |
719 (207) |
812 (44) |
886 (118) |
947 (179) |
1000 (232) |
1046 (22) |
1087 (63) |
1124 (100) |
1158 (134) | |
256edo is contorted in the 5-limit, and the error of harmonic 7 leads to inconsistency, which is likely one of the reasons this EDO attracts little interest. 256edo is good at the 2.23.43.47 subgroup. If the error below 40% is considered "good", 256edo can be used to play no-fives 17 limit.
256edo can also be played using non-contorted harmonics, no matter how bad the approximation. Under such rule, 256edo supports the 2.7.13.19 subgroup. In the 2.7.13.19 subgroup in the patent val, 256edo tempers out 32851/32768, and supports the corresponding 20 & 73 & 256 rank 3 temperament.