# 2964edo

 ← 2963edo 2964edo 2965edo →
Prime factorization 22 × 3 × 13 × 19
Step size 0.404858¢
Fifth 1734\2964 (702.024¢) (→289\494)
Semitones (A1:m2) 282:222 (114.2¢ : 89.88¢)
Consistency limit 7
Distinct consistency limit 7

2964 equal divisions of the octave (abbreviated 2964edo or 2964ed2), also called 2964-tone equal temperament (2964tet) or 2964 equal temperament (2964et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2964 equal parts of about 0.405 ¢ each. Each step represents a frequency ratio of 21/2964, or the 2964th root of 2.

In the 13-limit, 2964edo shares the same patent val with 494edo except for the 7th harmonic, which is corrected to an extremely accurate result (absolute error 0.00000446 cents, relative error 0.0011%). 2964 is a denominator to convergent to log27.

### Prime harmonics

Approximation of prime harmonics in 2964edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.069 -0.079 +0.000 +0.099 -0.042 -0.097 +0.058 +0.066 -0.023 -0.096
Relative (%) +0.0 +17.1 -19.5 +0.0 +24.5 -10.3 -24.0 +14.3 +16.2 -5.6 -23.8
Steps
(reduced)
2964
(0)
4698
(1734)
6882
(954)
8321
(2393)
10254
(1362)
10968
(2076)
12115
(259)
12591
(735)
13408
(1552)
14399
(2543)
14684
(2828)

### Subsets and supersets

Since 2964 factors into 22 × 3 × 13 × 19, 2964edo has subset edos 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, and 1482.