888edo
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.604 | +0.173 | +0.093 | +0.144 | +0.033 | +0.013 | -0.431 | +0.450 | -0.216 | -0.511 | +0.104 |
| Relative (%) | -44.7 | +12.8 | +6.9 | +10.7 | +2.5 | +1.0 | -31.9 | +33.3 | -16.0 | -37.8 | +7.7 | |
| Steps (reduced) |
1407 (519) |
2062 (286) |
2493 (717) |
2815 (151) |
3072 (408) |
3286 (622) |
3469 (805) |
3630 (78) |
3772 (220) |
3900 (348) |
4017 (465) | |
888edo is excellent in the no-threes 13-limit, and it may possibly have little attention due to its lack of a perfect fifth. The usage of 3/2 is so deeply entrenched into nearly all musical traditions of the world, that temperaments which lack a perfect fifth do not get considered, even if other harmonics are excellently approximated.
888edo tempers out 6656/6655, 105644/105625, 4917248/4915625 and 35153041/35152000 in the no-threes 13 limit.