55edf
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Prime factorization
5 × 11
Step size
12.7628¢
Octave
94\55edf (1199.7¢)
(semiconvergent)
Twelfth
149\55edf (1901.66¢)
(semiconvergent)
Consistency limit
24
Distinct consistency limit
7
| ← 54edf | 55edf | 56edf → |
(semiconvergent)
(semiconvergent)
Division of the just perfect fifth into 55 equal parts (55EDF) is related to 94edo, but with the 3/2 rather than the 2/1 being just. The octave is compressed by about 0.2951 cents and the step size is about 12.7628 cents.
It is consistent to the 24-integer limit (which is contained within, but is not the same as, the 23-odd-limit). Its lookalikes include 94edo and 149edt.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.30 | -0.30 | -0.59 | -4.02 | -0.59 | +0.56 | -0.89 | -0.59 | -4.31 | -3.40 | -0.89 |
| Relative (%) | -2.3 | -2.3 | -4.6 | -31.5 | -4.6 | +4.4 | -6.9 | -4.6 | -33.8 | -26.7 | -6.9 | |
| Steps (reduced) |
94 (39) |
149 (39) |
188 (23) |
218 (53) |
243 (23) |
264 (44) |
282 (7) |
298 (23) |
312 (37) |
325 (50) |
337 (7) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.93 | +0.26 | -4.31 | -1.18 | -4.03 | -0.89 | -5.15 | -4.61 | +0.26 | -3.70 | -4.08 | -1.18 |
| Relative (%) | +7.3 | +2.1 | -33.8 | -9.2 | -31.6 | -6.9 | -40.3 | -36.1 | +2.1 | -29.0 | -31.9 | -9.2 | |
| Steps (reduced) |
348 (18) |
358 (28) |
367 (37) |
376 (46) |
384 (54) |
392 (7) |
399 (14) |
406 (21) |
413 (28) |
419 (34) |
425 (40) |
431 (46) | |