70ed6

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← 69ed670ed671ed6 →
Prime factorization 2 × 5 × 7
Step size 44.3136¢ 
Octave 27\70ed6 (1196.47¢)
Twelfth 43\70ed6 (1905.49¢)
Consistency limit 10
Distinct consistency limit 8

Division of the sixth harmonic into 70 equal parts (70ED6) is very nearly identical to 27 EDO, but with the 6/1 rather than the 2/1 being just. The octave is about 3.5316 cents compressed and the step size is about 44.3136 cents. The local zeta peak around 27 is located at 27.086614, which has a step size of 44.3023 cents, making 70ed6 very close to optimal for 27edo.

Harmonics

Approximation of harmonics in 70ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) -3.53 +3.53 -7.06 +5.45 +0.00 -0.99 -10.59 +7.06 +1.91 +14.16 -3.53 -9.16 -4.52 +8.98 -14.13
Relative (%) -8.0 +8.0 -15.9 +12.3 +0.0 -2.2 -23.9 +15.9 +4.3 +32.0 -8.0 -20.7 -10.2 +20.3 -31.9
Steps
(reduced)
27
(27)
43
(43)
54
(54)
63
(63)
70
(0)
76
(6)
81
(11)
86
(16)
90
(20)
94
(24)
97
(27)
100
(30)
103
(33)
106
(36)
108
(38)