12ed8/3

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← 11ed8/3 12ed8/3 13ed8/3 →
Prime factorization 22 × 3 (highly composite)
Step size 141.504 ¢ 
Octave 8\12ed8/3 (1132.03 ¢) (→ 2\3ed8/3)
Twelfth 13\12ed8/3 (1839.55 ¢)
Consistency limit 3
Distinct consistency limit 3

12 equal divisions of 8/3 (abbreviated 12ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 12 equal parts of about 142 ¢ each. Each step represents a frequency ratio of (8/3)1/12, or the 12th root of 8/3.

Interval table

Steps Cents Approximate ratios
0 0 1/1
1 141.5 11/10, 14/13, 15/14, 23/21
2 283 13/11
3 424.5 14/11, 19/15
4 566 7/5
5 707.5 3/2
6 849 21/13, 23/14
7 990.5 23/13
8 1132 19/10, 21/11
9 1273.5 21/10, 23/11
10 1415 9/4, 23/10
11 1556.5 17/7, 22/9
12 1698