5ed8/3

5 equal divisions of 8/3 (abbreviated 5ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 5 equal parts of about 340 ¢ each. Each step represents a frequency ratio of (8/3)^1/5, or the 5th root of 8/3.

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5ed8/3

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Prime factorization	5 (prime)
Step size	339.609 ¢
Octave	4\5ed8/3 (1358.44 ¢)
Twelfth	6\5ed8/3 (2037.65 ¢)
Consistency limit	3
Distinct consistency limit	3

Interval table

Steps	Cents	Approximate ratios
0	0	1/1
1	339.6	13/11, 19/15
2	679.2	3/2, 10/7, 17/11, 19/13
3	1018.8	13/7, 19/11
4	1358.4	9/4, 11/5, 15/7, 20/9, 21/10
5	1698	13/5, 19/7