50edf: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''50EDF''' is the [[EDF|equal division of the just perfect fifth]] into 50 parts of 14.0391 [[cent|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. | '''50EDF''' is the [[EDF|equal division of the just perfect fifth]] into 50 parts of 14.0391 [[cent|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]] | Lookalikes: [[Delta scale]] | ||
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== Harmonics == | == Harmonics == | ||
{{harmonics in equal|50|3|2}} | {{harmonics in equal|50|3|2}} | ||
{{harmonics in equal|50|3|2|start=12|collapsed=1}} | |||
{{todo|expand}} | |||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 04:13, 18 December 2024
| ← 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) | |