10428edo

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← 10427edo 10428edo 10429edo →
Prime factorization 22 × 3 × 11 × 79
Step size 0.115075 ¢ 
Fifth 6100\10428 (701.956 ¢) (→ 1525\2607)
Semitones (A1:m2) 988:784 (113.7 ¢ : 90.22 ¢)
Consistency limit 21
Distinct consistency limit 21

Template:EDO intro

10428edo is consistent in the 21-odd-limit, though with a large error on the 19th harmonic. An alternate mapping to consider is 2.3.5.7.11.13.17.29 subgroup, that is add-29 17-limit.

Prime harmonics

Approximation of prime harmonics in 10428edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0013 -0.0076 -0.0112 +0.0054 -0.0213 -0.0072 -0.0447 +0.0341 -0.0030 -0.0413
Relative (%) +0.0 +1.1 -6.6 -9.7 +4.7 -18.5 -6.3 -38.8 +29.6 -2.6 -35.9
Steps
(reduced)
10428
(0)
16528
(6100)
24213
(3357)
29275
(8419)
36075
(4791)
38588
(7304)
42624
(912)
44297
(2585)
47172
(5460)
50659
(8947)
51662
(9950)

Subsets and supersets

Since 10428 factors as 22 × 3 × 11 × 79, it has nontrivial subset edos 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214.