47edf
47EDF is the equal division of the just perfect fifth into 47 parts of 14.9352 cents each, corresponding to 80.3470 edo (similar to every third step of 241edo).
| ← 46edf | 47edf | 48edf → |
It is related to the microtemperament which tempers out |39 -39 -47 47> (1.82802 cents) in the 7-limit, which is supported by 482, 643, 1125, 1205, 1848, 2330, 2973, 3053, and 4178 EDOs.
Related regular temperaments
7-limit 1205&1848&2330
Comma: |39 -39 -47 47>
POTE generators: ~5/4 = 386.3319, ~3796875/3764768 = 14.9354
Mapping: [<1 1 0 0|, <0 47 0 39|, <0 0 1 1|]
EDOs: 80, 161, 482, 562, 643, 723, 1125, 1205, 1366, 1848, 2330, 2973, 3053, 4178, 6026
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -5.18 | -5.18 | +4.57 | +6.57 | +4.57 | +6.53 | -0.61 | +4.57 | +1.39 | +0.67 | -0.61 |
| Relative (%) | -34.7 | -34.7 | +30.6 | +44.0 | +30.6 | +43.7 | -4.1 | +30.6 | +9.3 | +4.5 | -4.1 | |
| Steps (reduced) |
80 (33) |
127 (33) |
161 (20) |
187 (46) |
208 (20) |
226 (38) |
241 (6) |
255 (20) |
267 (32) |
278 (43) |
288 (6) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -4.77 | +1.35 | +1.39 | -5.80 | -6.21 | -0.61 | -4.61 | -3.79 | +1.35 | -4.51 | -6.79 |
| Relative (%) | -31.9 | +9.0 | +9.3 | -38.8 | -41.6 | -4.1 | -30.8 | -25.4 | +9.0 | -30.2 | -45.5 | |
| Steps (reduced) |
297 (15) |
306 (24) |
314 (32) |
321 (39) |
328 (46) |
335 (6) |
341 (12) |
347 (18) |
353 (24) |
358 (29) |
363 (34) | |