8ed6
| ← 7ed6 | 8ed6 | 9ed6 → |
(semiconvergent)
(semiconvergent)
8 equal divisions of the 6th harmonic (abbreviated 8ed6) is a nonoctave tuning system that divides the interval of 6/1 into 8 equal parts of about 388 ¢ each. Each step represents a frequency ratio of 61/8, or the 8th root of 6.
Intervals
| # | Cents | Approximate JI ratio(s) |
|---|---|---|
| 0 | 0.000 | exact 1/1 |
| 1 | 387.744 | 5/4, 4/3, 6/5, 7/6, 9/7, 10/7, 9/8, 11/9, 11/10, 12/11 |
| 2 | 775.489 | 3/2, 11/7 |
| 3 | 1163.233 | 2/1 |
| 4 | 1550.978 | 5/2, 7/3 |
| 5 | 1938.722 | 3/1 |
| 6 | 2326.466 | 4/1 |
| 7 | 2714.211 | 5/1 |
| 8 | 3101.955 | exact 6/1 |
Harmonics
| # | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Steps | 3 | 5 | 6 | 7 | 8 | 9 | 9 | 10 | 10 | 11 | 11 |
| Reduced | 3 | 5 | 6 | 7 | 0 | 1 | 1 | 2 | 2 | 3 | 3 |