1272edo
| ← 1271edo | 1272edo | 1273edo → |
1272edo is consistent in the 5-odd-limit, as well as being a strong 2.3.7.13.21.23 subgroup tuning.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.068 | -0.465 | +0.042 | -0.136 | -0.375 | +0.038 | +0.411 | -0.238 | -0.343 | -0.026 | +0.028 |
| Relative (%) | -7.2 | -49.3 | +4.5 | -14.5 | -39.7 | +4.1 | +43.5 | -25.3 | -36.4 | -2.8 | +2.9 | |
| Steps (reduced) |
2016 (744) |
2953 (409) |
3571 (1027) |
4032 (216) |
4400 (584) |
4707 (891) |
4970 (1154) |
5199 (111) |
5403 (315) |
5587 (499) |
5754 (666) | |
Subsets and supersets
Since 1272 factors as 23 × 3 × 53, 1272edo has subset edos 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636. This list has many notable systems such as 12edo, 24edo, 53edo, 159edo, and 212edo.
2544edo, twice as large, provides consistent corrections for the 15-odd-limit.