7ed8/3

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7ed8/3

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Prime factorization	7 (prime)
Step size	242.578 ¢
Octave	5\7ed8/3 (1212.89 ¢) (convergent)
Twelfth	8\7ed8/3 (1940.62 ¢)
Consistency limit	4
Distinct consistency limit	4

7 equal divisions of 8/3 (abbreviated 7ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 7 equal parts of about 243 ¢ each. Each step represents a frequency ratio of (8/3)^1/7, or the 7th root of 8/3.

Interval table

Steps	Cents	Approximate ratios
0	0	1/1
1	242.6	7/6, 8/7, 9/8, 13/11, 15/13, 17/15, 19/17, 20/17
2	485.2	4/3, 9/7, 13/10, 17/13, 19/14, 21/16
3	727.7	3/2, 14/9, 17/11, 20/13
4	970.3	7/4, 12/7, 16/9, 19/11
5	1212.9	2/1
6	1455.5	7/3, 16/7, 19/8
7	1698	8/3, 13/5, 19/7, 21/8