49edf
49EDF is the equal division of the just perfect fifth into 49 parts of 14.3256 cents each, corresponding to 83.7661 edo (similar to every fourth step of 335edo).
| ← 48edf | 49edf | 50edf → |
It is related to the temperament which tempers out |71 27 -49> in the 5-limit, which is supported by 83, 84, 167, 251, 335, 419, 503, and 586 EDOs.
Harmonics
Subgroups 49edf performs well on include the no-5s 31-limit, the dual-5 31-limit, and any subsets thereof.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | |
|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.35 | +3.35 | -7.14 | -2.31 | +3.11 | +0.41 | -5.60 |
| Relative (%) | +23.4 | +23.4 | -49.9 | -16.1 | +21.7 | +2.9 | -39.1 | |
| Steps (reduced) |
84 (35) |
133 (35) |
194 (47) |
235 (39) |
290 (45) |
310 (16) |
342 (48) | |
| Harmonic | 19 | 23 | 29 | 31 | 37 | 41 | 43 | |
|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.40 | +1.13 | +0.95 | +0.09 | -5.38 | +3.14 | +6.64 |
| Relative (%) | +16.8 | +7.9 | +6.6 | +0.7 | -37.5 | +21.9 | +46.3 | |
| Steps (reduced) |
356 (13) |
379 (36) |
407 (15) |
415 (23) |
436 (44) |
449 (8) |
455 (14) | |