57ed6

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← 56ed6 57ed6 58ed6 →
Prime factorization 3 × 19
Step size 54.4203 ¢ 
Octave 22\57ed6 (1197.25 ¢)
Twelfth 35\57ed6 (1904.71 ¢)
Consistency limit 12
Distinct consistency limit 8

Division of the sixth harmonic into 70 equal parts (70ED6) is very nearly identical to 22 EDO, but with the 6/1 rather than the 2/1 being just. The octave is about 2.754 ¢ compressed and the step size is about 54.4203 ¢. The local zeta peak around 27 is located at 22.025147, which has a step size of 54.483 ¢ and an octave of 1198.63 ¢ (which is compressed by 1.37 ¢), making 57ed6 very close to optimal for 22edo.

Harmonics

Approximation of harmonics in 57ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) -2.75 +2.75 -5.51 -10.88 +0.00 +5.23 -8.26 +5.51 -13.63 -15.38 -2.75 +21.93 +2.48 -8.13 -11.02
Relative (%) -5.1 +5.1 -10.1 -20.0 +0.0 +9.6 -15.2 +10.1 -25.1 -28.3 -5.1 +40.3 +4.6 -14.9 -20.2
Steps
(reduced)
22
(22)
35
(35)
44
(44)
51
(51)
57
(0)
62
(5)
66
(9)
70
(13)
73
(16)
76
(19)
79
(22)
82
(25)
84
(27)
86
(29)
88
(31)