2964edo

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Template:EDO intro

← 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

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%).

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.