56edt
| ← 55edt | 56edt | 57edt → |
The 56 equal division of 3, the tritave, divides it into 56 equal parts of 33.963 cents each, corresponding to 35.332 edo. It tempers out 245/243 in the 7-limit, 1331/1323 in the 11-limit and 275/273 in the 13-limit. It supports the 3.5.7.11.13 temperament with mapping [<1 5 0 1 10|, <0 -6 3 2 -13|]. 56edt is the twelfth no-twos zeta peak edt.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | 27 | 29 | 31 | 33 | 35 | 37 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0 | -3.0 | -5.6 | +0.0 | +0.5 | -10.4 | -3.0 | -10.9 | +5.3 | -5.6 | -0.7 | -5.9 | +0.0 | -7.7 | -7.2 | +0.5 | -8.6 | +11.2 |
| Relative (%) | +0.0 | -12.8 | -24.2 | +0.0 | +2.2 | -44.7 | -12.8 | -47.0 | +22.8 | -24.2 | -3.2 | -25.6 | +0.0 | -33.4 | -31.1 | +2.2 | -37.0 | +48.2 | |
| Steps (reduced) |
82 (0) |
120 (38) |
145 (63) |
164 (0) |
179 (15) |
191 (27) |
202 (38) |
211 (47) |
220 (56) |
227 (63) |
234 (70) |
240 (76) |
246 (0) |
251 (5) |
256 (10) |
261 (15) |
265 (19) |
270 (24) | |