| Prime factorization
|
11 (prime)
|
| Step size
|
154.368 ¢
|
| Octave
|
8\11ed8/3 (1234.94 ¢)
|
| Twelfth
|
12\11ed8/3 (1852.41 ¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
11 equal divisions of 8/3 (abbreviated 11ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 11 equal parts of about 154 ¢ each. Each step represents a frequency ratio of (8/3)1/11, or the 11th root of 8/3.
Interval table
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
154.4
|
11/10, 12/11, 13/12, 14/13, 21/19
|
| 2
|
308.7
|
6/5, 13/11, 17/14, 20/17
|
| 3
|
463.1
|
13/10, 17/13, 22/17
|
| 4
|
617.5
|
10/7, 17/12
|
| 5
|
771.8
|
11/7, 17/11, 19/12, 20/13
|
| 6
|
926.2
|
12/7, 17/10, 19/11, 22/13
|
| 7
|
1080.6
|
11/6, 13/7, 19/10
|
| 8
|
1234.9
|
|
| 9
|
1389.3
|
11/5
|
| 10
|
1543.7
|
12/5, 17/7
|
| 11
|
1698
|
19/7
|