92edo
| ← 91edo | 92edo | 93edo → |
The equal temperament is contorted through the 17-limit, with the same tuning and commas as 46edo, and hence attracts little interest. That said, the approximation to the 19th harmonic is much improved. Like 46, the patent fifth (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than 26edo, and the 92bcccd val supports flattone. 92edo is the highest in a series of four consecutive edos to temper out the quartisma (117440512/117406179).
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.39 | +4.99 | -3.61 | +4.79 | -3.49 | -5.75 | -5.66 | -0.61 | +2.49 | -1.22 | -2.19 |
| Relative (%) | +18.3 | +38.3 | -27.7 | +36.7 | -26.8 | -44.0 | -43.4 | -4.7 | +19.1 | -9.3 | -16.8 | |
| Steps (reduced) |
146 (54) |
214 (30) |
258 (74) |
292 (16) |
318 (42) |
340 (64) |
359 (83) |
376 (8) |
391 (23) |
404 (36) |
416 (48) | |
Subsets and supersets
Since 92 factors into 22 × 23, 92edo has subset edos 2, 4, 23, and 46.