49edf
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Prime factorization
72
Step size
14.3256¢
Octave
84\49edf (1203.35¢) (→12\7edf)
Twelfth
133\49edf (1905.31¢) (→19\7edf)
Consistency limit
4
Distinct consistency limit
4
| ← 48edf | 49edf | 50edf → |
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).
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) | |