50edf: Difference between revisions
Jump to navigation
Jump to search
Created page with "'''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 ste..." Tags: Mobile edit Mobile web edit |
m Skip disambiguation page |
||
| (8 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
'''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 | {{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 [[8ed16/15|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: [[8ed16/15|Delta scale]] | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{harmonics in equal|50|3|2}} | |||
{{harmonics in equal|50|3|2|start=12|collapsed=1}} | |||
{{todo|expand}} | |||
Latest revision as of 01:55, 6 August 2025
| ← 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
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 14 | |
| 2 | 28.1 | |
| 3 | 42.1 | |
| 4 | 56.2 | |
| 5 | 70.2 | 26/25 |
| 6 | 84.2 | 22/21 |
| 7 | 98.3 | |
| 8 | 112.3 | 31/29 |
| 9 | 126.4 | 14/13 |
| 10 | 140.4 | |
| 11 | 154.4 | |
| 12 | 168.5 | 21/19 |
| 13 | 182.5 | 10/9 |
| 14 | 196.5 | 19/17, 28/25 |
| 15 | 210.6 | |
| 16 | 224.6 | |
| 17 | 238.7 | |
| 18 | 252.7 | 22/19 |
| 19 | 266.7 | |
| 20 | 280.8 | |
| 21 | 294.8 | |
| 22 | 308.9 | 31/26 |
| 23 | 322.9 | |
| 24 | 336.9 | 17/14 |
| 25 | 351 | |
| 26 | 365 | 21/17, 26/21 |
| 27 | 379.1 | |
| 28 | 393.1 | |
| 29 | 407.1 | |
| 30 | 421.2 | |
| 31 | 435.2 | |
| 32 | 449.3 | 22/17 |
| 33 | 463.3 | 17/13 |
| 34 | 477.3 | 29/22 |
| 35 | 491.4 | |
| 36 | 505.4 | |
| 37 | 519.4 | 27/20 |
| 38 | 533.5 | 19/14 |
| 39 | 547.5 | |
| 40 | 561.6 | 29/21 |
| 41 | 575.6 | |
| 42 | 589.6 | 31/22 |
| 43 | 603.7 | |
| 44 | 617.7 | |
| 45 | 631.8 | |
| 46 | 645.8 | |
| 47 | 659.8 | 19/13 |
| 48 | 673.9 | 31/21 |
| 49 | 687.9 | |
| 50 | 702 | 3/2 |
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) | |