| Prime factorization
|
23
|
| Step size
|
33.3589 ¢
|
| Octave
|
36\8ed7/6 (1200.92 ¢) (→ 9\2ed7/6)
|
| Twelfth
|
57\8ed7/6 (1901.46 ¢)
(convergent)
|
| Consistency limit
|
8
|
| Distinct consistency limit
|
8
|
8 equal divisions of 7/6 (abbreviated 8ed7/6) is a nonoctave tuning system that divides the interval of 7/6 into 8 equal parts of about 33.4 ¢ each. Each step represents a frequency ratio of (7/6)1/8, or the 8th root of 7/6. This tuning can be considered a stretched version of 36edo.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
33.4
|
|
| 2
|
66.7
|
21/20, 22/21
|
| 3
|
100.1
|
16/15, 17/16, 18/17, 19/18, 20/19
|
| 4
|
133.4
|
11/10, 13/12, 14/13, 15/14
|
| 5
|
166.8
|
12/11, 21/19
|
| 6
|
200.2
|
9/8, 10/9, 17/15, 19/17
|
| 7
|
233.5
|
8/7, 22/19
|
| 8
|
266.9
|
7/6, 15/13
|