458edo
| ← 457edo | 458edo | 459edo → |
458edo is inconsistent to the 5-odd-limit and harmonic 5 is about halfway between its steps. The equal temperament is most notable for tempering out the kleisma, 15625/15552, in the 5-limit and provides the optimal patent val for the 5-limit kleismic temperament.
Odd harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.23 | -1.16 | +0.61 | -1.10 | +0.52 | -0.15 | +1.18 | +0.55 | +0.12 | -0.06 |
| Relative (%) | +0.0 | +8.7 | -44.3 | +23.1 | -42.0 | +19.9 | -5.8 | +44.9 | +20.9 | +4.5 | -2.2 | |
| Steps (reduced) |
458 (0) |
726 (268) |
1063 (147) |
1286 (370) |
1584 (210) |
1695 (321) |
1872 (40) |
1946 (114) |
2072 (240) |
2225 (393) |
2269 (437) | |
Subsets and supersets
Since 458 factors into 2 × 229, 458edo contains 2edo and 229edo as subsets.