129ed12

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Division of the twelfth harmonic into 129 equal parts (129ED12) is very nearly identical to 36 EDO (sixth-tone tuning), but with the 12/1 rather than the 2/1 being just. The octave is about 0.55 cents stretched and the step size is about 33.35 cents.

← 128ed12 129ed12 130ed12 →
Prime factorization 3 × 43
Step size 33.3485 ¢ 
Octave 36\129ed12 (1200.55 ¢) (→ 12\43ed12)
Twelfth 57\129ed12 (1900.86 ¢) (→ 19\43ed12)
Consistency limit 8
Distinct consistency limit 8

Harmonics

Approximation of harmonics in 129ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) +0.55 -1.09 +1.09 +14.96 -0.55 -0.63 +1.64 -2.18 +15.50 -16.11 +0.00 -5.18 -0.08 +13.87 +2.18
Relative (%) +1.6 -3.3 +3.3 +44.9 -1.6 -1.9 +4.9 -6.5 +46.5 -48.3 +0.0 -15.5 -0.2 +41.6 +6.5
Steps
(reduced)
36
(36)
57
(57)
72
(72)
84
(84)
93
(93)
101
(101)
108
(108)
114
(114)
120
(120)
124
(124)
129
(0)
133
(4)
137
(8)
141
(12)
144
(15)