11ed6
11ED6 is the equal division of the sixth harmonic into six parts of 281.9959 cents each, corresponding to 4.2554 edo. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.
Related temperament
2.3.11 subgroup 17&183
Comma: |-19 36 0 0 -11>
POTE generator: ~|7 -13 0 0 4> = 281.9832
Mapping: [<1 -1 -5|, <0 11 36|]
EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566
2.3.11.13 subgroup 17&183
Commas: 28561/28512, 85293/85184
POTE generator: ~286/243 = 281.9821
Mapping: [<1 -1 -5 -1|, <0 11 36 20|]
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 282 | 7/6, 13/11, 20/17, 22/19 |
| 2 | 564 | 7/5, 15/11, 18/13 |
| 3 | 846 | 18/11, 21/13 |
| 4 | 1128 | 19/10, 21/11 |
| 5 | 1410 | |
| 6 | 1692 | |
| 7 | 1974 | 19/6, 22/7 |
| 8 | 2256 | 11/3 |
| 9 | 2538 | 13/3, 22/5 |
| 10 | 2820 | |
| 11 | 3102 | 6/1 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -72 | +72 | +138 | +34 | +0 | +15 | +66 | -138 | -38 | +79 | -72 |
| Relative (%) | -25.5 | +25.5 | +48.9 | +11.9 | +0.0 | +5.4 | +23.4 | -48.9 | -13.6 | +27.9 | -25.5 | |
| Steps (reduced) |
4 (4) |
7 (7) |
9 (9) |
10 (10) |
11 (0) |
12 (1) |
13 (2) |
13 (2) |
14 (3) |
15 (4) |
15 (4) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +71 | -57 | +106 | -6 | -111 | +72 | -22 | -110 | +87 | +7 | -70 |
| Relative (%) | +25.3 | -20.2 | +37.5 | -2.2 | -39.4 | +25.5 | -7.7 | -39.1 | +30.9 | +2.3 | -24.9 | |
| Steps (reduced) |
16 (5) |
16 (5) |
17 (6) |
17 (6) |
17 (6) |
18 (7) |
18 (7) |
18 (7) |
19 (8) |
19 (8) |
19 (8) | |