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Template:EDO intro It is the denominator of the next convergent for log23 past 665, before 31867, and has a fifth which is 0.000002 cents stretched.

← 15600edo 15601edo 15602edo →
Prime factorization 15601 (prime)
Step size 0.0769181 ¢ 
Fifth 9126\15601 (701.955 ¢)
(convergent)
Semitones (A1:m2) 1478:1173 (113.7 ¢ : 90.22 ¢)
Consistency limit 5
Distinct consistency limit 5

This system is at its best behavior in the 2.3.19.23 subgroup.

Prime harmonics

Approximation of prime harmonics in 15601edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0000 -0.0308 +0.0351 +0.0313 +0.0338 +0.0379 +0.0064 -0.0069 -0.0278 -0.0320
Relative (%) +0.0 +0.0 -40.0 +45.6 +40.7 +44.0 +49.2 +8.3 -9.0 -36.2 -41.7
Steps
(reduced)
15601
(0)
24727
(9126)
36224
(5022)
43798
(12596)
53971
(7168)
57731
(10928)
63769
(1365)
66272
(3868)
70572
(8168)
75789
(13385)
77290
(14886)

Subsets and supersets

15601edo is the 1819th prime edo.

31202edo, which doubles 15601edo, provides a good correction to harmonics 5, 7, 11, 13 and 17. 78005edo, which slices each step of 15601edo in five, is notable for an exceptional approximation quality of the 5-limit.