12ed8/3
| ← 11ed8/3 | 12ed8/3 | 13ed8/3 → |
12 equal divisions of 8/3 (abbreviated 12ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 12 equal parts of about 142 ¢ each. Each step represents a frequency ratio of (8/3)1/12, or the 12th root of 8/3.
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 141.5 | 11/10, 14/13, 15/14, 23/21 |
| 2 | 283 | 13/11 |
| 3 | 424.5 | 14/11, 19/15 |
| 4 | 566 | 7/5 |
| 5 | 707.5 | 3/2 |
| 6 | 849 | 21/13, 23/14 |
| 7 | 990.5 | 23/13 |
| 8 | 1132 | 19/10, 21/11 |
| 9 | 1273.5 | 21/10, 23/11 |
| 10 | 1415 | 9/4, 23/10 |
| 11 | 1556.5 | 17/7, 22/9 |
| 12 | 1698 |