101ed7

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← 100ed7 101ed7 102ed7 →
Prime factorization 101 (prime)
Step size 33.3547¢ 
Octave 36\101ed7 (1200.77¢)
Twelfth 57\101ed7 (1901.22¢)
Consistency limit 8
Distinct consistency limit 8

101 divisions of the seventh harmonic (101ed7) is related to 36edo (sixth-tone tuning), but with the 7/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 33.3547 cents. It is consistent to the 8-integer-limit. This tuning tempers out the syntonic comma.

Lookalikes: 21edf, 36edo, 57edt, 93ed6

Harmonics

Approximation of harmonics in 101ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +0.8 -0.7 +1.5 +15.5 +0.0 +0.0 +2.3 -1.5 +16.3 -15.3 +0.8
Relative (%) +2.3 -2.2 +4.6 +46.4 +0.1 +0.0 +6.9 -4.4 +48.7 -46.0 +2.4
Steps
(reduced)
36
(36)
57
(57)
72
(72)
84
(84)
93
(93)
101
(0)
108
(7)
114
(13)
120
(19)
124
(23)
129
(28)