3ed8/3

← 2ed8/3

3ed8/3

4ed8/3 →

Prime factorization	3 (prime)
Step size	566.015 ¢
Octave	2\3ed8/3 (1132.03 ¢) (convergent)
Twelfth	3\3ed8/3 (1698.04 ¢) (→ 1\1ed8/3)
Consistency limit	5
Distinct consistency limit	3

3 equal divisions of 8/3 (abbreviated 3ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 3 equal parts of about 566 ¢ each. Each step represents a frequency ratio of (8/3)^1/3, or the 3rd root of 8/3.

Interval table

Steps	Cents	Approximate ratios
0	0	1/1, 14/13, 15/14, 16/15, 20/19
1	566	3/2, 4/3, 7/5, 10/7, 11/8, 13/10, 15/11, 16/11, 17/13, 19/13, 19/14
2	1132	2/1, 11/6, 13/7, 15/8, 16/9, 19/10, 20/11
3	1698	5/2, 8/3, 11/4, 13/5, 14/5, 19/7, 20/7