8ed8/3

8 equal divisions of 8/3 (abbreviated 8ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 8 equal parts of about 212 ¢ each. Each step represents a frequency ratio of (8/3)^1/8, or the 8th root of 8/3.

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8ed8/3

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Prime factorization	23
Step size	212.256 ¢
Octave	6\8ed8/3 (1273.53 ¢) (→ 3\4ed8/3)
Twelfth	9\8ed8/3 (1910.3 ¢) (convergent)
Consistency limit	3
Distinct consistency limit	3

Interval table

Steps	Cents	Approximate ratios
0	0	1/1
1	212.3	10/9, 15/13, 17/15, 19/17, 21/19
2	424.5	9/7, 13/10, 14/11, 17/13, 19/15
3	636.8	10/7, 13/9, 19/13
4	849	5/3, 18/11, 21/13
5	1061.3	9/5, 11/6, 13/7, 17/9, 20/11
6	1273.5	19/9, 21/10
7	1485.8	7/3
8	1698	13/5, 19/7