1260edo
| ← 1259edo | 1260edo | 1261edo → |
1260edo is the 16th highly composite edo, and the first one after 12edo which has a good (only 5% error) and also coprime perfect fifth, so that a circle of fifths goes through every step. Unfortunately, it is only consistent to the 5-odd-limit since the errors of both harmonics 5 and 7 are quite large and on the opposite side.
It tunes well the 2.3.7.11.17.29 subgroup. It tempers out the parakleisma in the 5-limit on the patent val, and in the 13-limit in the 1260cf val it provides an alternative extension to the oquatonic temperament.
One step of 1260edo bears the name triangular cent, although for unclear reasons. See Interval size measure #Octave-based fine measures
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.050 | +0.353 | -0.254 | +0.111 | +0.425 | -0.194 | -0.370 | +0.297 | -0.053 | -0.274 |
| Relative (%) | +0.0 | -5.3 | +37.1 | -26.7 | +11.6 | +44.6 | -20.3 | -38.9 | +31.2 | -5.6 | -28.7 | |
| Steps (reduced) |
1260 (0) |
1997 (737) |
2926 (406) |
3537 (1017) |
4359 (579) |
4663 (883) |
5150 (110) |
5352 (312) |
5700 (660) |
6121 (1081) |
6242 (1202) | |
Subsets and supersets
Since 1260 factors into 22 × 32 × 5 × 7, 1260edo has subset edos 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, and 630.