# 1260edo

← 1259edo | 1260edo | 1261edo → |

^{2}× 3^{2}× 5 × 7**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) |