# 1330edo

 ← 1329edo 1330edo 1331edo →
Prime factorization 2 × 5 × 7 × 19
Step size 0.902256¢
Fifth 778\1330 (701.955¢) (→389\665)
Semitones (A1:m2) 126:100 (113.7¢ : 90.23¢)
Consistency limit 11
Distinct consistency limit 11

1330 equal divisions of the octave (abbreviated 1330edo or 1330ed2), also called 1330-tone equal temperament (1330tet) or 1330 equal temperament (1330et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1330 equal parts of about 0.902 ¢ each. Each step represents a frequency ratio of 21/1330, or the 1330th root of 2.

1330edo is enfactored in the 7-limit and has the same tuning as 665edo. It corrects 665edo's approximation of harmonic 11, only to be consistent up to the 11-odd-limit, unfortunately. It tempers out 3025/3024, 9801/9800, and 234375/234256, supporting hemienneadecal, though 1178edo is a better tuning for that purpose.

### Prime harmonics

Approximation of prime harmonics in 1330edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.000 -0.148 +0.197 -0.040 +0.375 -0.294 +0.231 -0.304 -0.104 -0.073
Relative (%) +0.0 -0.0 -16.4 +21.8 -4.4 +41.5 -32.6 +25.6 -33.7 -11.5 -8.1
Steps
(reduced)
1330
(0)
2108
(778)
3088
(428)
3734
(1074)
4601
(611)
4922
(932)
5436
(116)
5650
(330)
6016
(696)
6461
(1141)
6589
(1269)

### Subsets and supersets

Since 1330 factors into 2 × 5 × 7 × 19, it has subset edos 2, 5, 7, 19, 35, 70, 95, 133, 190, 266, and 665. A step of 1330edo is exactly 24 imps (24\31920).