11ed12
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| ← 10ed12 | 11ed12 | 12ed12 → |
(semiconvergent)
11 equal divisions of the 12th harmonic (abbreviated 11ed12) is a nonoctave tuning system that divides the interval of 12/1 into 11 equal parts of about 391 ¢ each. Each step represents a frequency ratio of 121/11, or the 11th root of 12.
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 391.1 | 5/4, 14/11, 19/15, 21/17 |
| 2 | 782.2 | 11/7, 14/9, 17/11, 19/12 |
| 3 | 1173.3 | 2/1 |
| 4 | 1564.3 | 5/2, 17/7, 22/9 |
| 5 | 1955.4 | 22/7 |
| 6 | 2346.5 | |
| 7 | 2737.6 | |
| 8 | 3128.7 | 6/1 |
| 9 | 3519.8 | |
| 10 | 3910.9 | 19/2 |
| 11 | 4302 | 12/1 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -27 | +53 | -53 | -49 | +27 | +151 | -80 | +107 | -75 | +151 | +0 |
| Relative (%) | -6.8 | +13.7 | -13.7 | -12.5 | +6.8 | +38.6 | -20.5 | +27.3 | -19.3 | +38.5 | +0.0 | |
| Steps (reduced) |
3 (3) |
5 (5) |
6 (6) |
7 (7) |
8 (8) |
9 (9) |
9 (9) |
10 (10) |
10 (10) |
11 (0) |
11 (0) | |