1260edo
| ← 1259edo | 1260edo | 1261edo → |
1260 equal divisions of the octave (1260edo), or 1260-tone equal temperament (1260tet), 1260 equal temperament (1260et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1260 equal parts of about 0.952 ¢ each.
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.
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 | -5 | +37 | -27 | +12 | +45 | -20 | -39 | +31 | -6 | -29 | |
| Steps (reduced) |
1260 (0) |
1997 (737) |
2926 (406) |
3537 (1017) |
4359 (579) |
4663 (883) |
5150 (110) |
5352 (312) |
5700 (660) |
6121 (1081) |
6242 (1202) | |