11ed8/3
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| ← 10ed8/3 | 11ed8/3 | 12ed8/3 → |
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 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +34.9 | -49.5 | +69.9 | -7.7 | -14.6 | +27.3 | -49.5 | +55.3 | +27.2 | +16.6 | +20.3 |
| Relative (%) | +22.6 | -32.1 | +45.3 | -5.0 | -9.5 | +17.7 | -32.1 | +35.8 | +17.7 | +10.8 | +13.2 | |
| Steps (reduced) |
8 (8) |
12 (1) |
16 (5) |
18 (7) |
20 (9) |
22 (0) |
23 (1) |
25 (3) |
26 (4) |
27 (5) |
28 (6) | |