186ed6

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← 185ed6186ed6187ed6 →
Prime factorization 2 × 3 × 31
Step size 16.6772¢ 
Octave 72\186ed6 (1200.76¢) (→12\31ed6)
Twelfth 114\186ed6 (1901.2¢) (→19\31ed6)
Consistency limit 18
Distinct consistency limit 12

Division of the sixth harmonic into 186 equal parts (186ED6) is related to 72 edo, but with the 6/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 16.6838 cents. It is consistent to the 18-integer-limit, and significantly improves on 72edo's approximation to 13.

Lookalikes: 72edo, 114edt

Harmonics

Approximation of harmonics in 186ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Error Absolute (¢) +0.76 -0.76 +1.51 -1.23 +0.00 -0.04 +2.27 -1.51 -0.47 +1.30 +0.76 -4.40 +0.72 -1.98 +3.03 -1.87 -0.76
Relative (%) +4.5 -4.5 +9.1 -7.3 +0.0 -0.2 +13.6 -9.1 -2.8 +7.8 +4.5 -26.4 +4.3 -11.9 +18.2 -11.2 -4.5
Steps
(reduced)
72
(72)
114
(114)
144
(144)
167
(167)
186
(0)
202
(16)
216
(30)
228
(42)
239
(53)
249
(63)
258
(72)
266
(80)
274
(88)
281
(95)
288
(102)
294
(108)
300
(114)