10ed8/3

Prime factorization

2 × 5

Step size

169.804 ¢

Octave

7\10ed8/3 (1188.63 ¢)
(semiconvergent)

Twelfth

11\10ed8/3 (1867.85 ¢)

Consistency limit

6

Distinct consistency limit

5

10 equal divisions of 8/3 (abbreviated 10ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 10 equal parts of about 170 ¢ each. Each step represents a frequency ratio of (8/3)^1/10, or the 10th root of 8/3.

Theory

10ed8/3 can be seen as a very compressed version of 7edo. The octave compression results in a more accurate perfect fourth, at the expense of the fifth, which becomes a sharp Mavila fifth.