50edf
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Prime factorization
2 × 52
Step size
14.0391¢
Octave
85\50edf (1193.32¢) (→17\10edf)
Twelfth
135\50edf (1895.28¢) (→27\10edf)
Consistency limit
2
Distinct consistency limit
2
| ← 49edf | 50edf | 51edf → |
50EDF is the equal division of the just perfect fifth into 50 parts of 14.0391 cents each, corresponding to 85.4756 edo (similar to every second step of 171edo). It is related to the delta scale, but with the 3/2 rather than the classic diatonic semitone (16/15) being just.
Just intervals 5/4 and 6/5 fall exactly halfway between adjacent steps in 50EDF (just 5/4 between 27 and 28 degrees and just 6/5 between 22 and 23 degrees) respectively.
Lookalikes: Delta scale
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -6.68 | -6.68 | +0.69 | -6.57 | +0.69 | +0.56 | -5.99 | +0.69 | +0.79 | +4.26 | -5.99 |
| Relative (%) | -47.6 | -47.6 | +4.9 | -46.8 | +4.9 | +4.0 | -42.7 | +4.9 | +5.6 | +30.3 | -42.7 | |
| Steps (reduced) |
85 (35) |
135 (35) |
171 (21) |
198 (48) |
221 (21) |
240 (40) |
256 (6) |
271 (21) |
284 (34) |
296 (46) |
306 (6) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -4.17 | -6.12 | +0.79 | +1.37 | -5.31 | -5.99 | -1.32 | -5.89 | -6.12 | -2.42 | +4.86 |
| Relative (%) | -29.7 | -43.6 | +5.6 | +9.8 | -37.8 | -42.7 | -9.4 | -41.9 | -43.6 | -17.2 | +34.6 | |
| Steps (reduced) |
316 (16) |
325 (25) |
334 (34) |
342 (42) |
349 (49) |
356 (6) |
363 (13) |
369 (19) |
375 (25) |
381 (31) |
387 (37) | |