48edf: Difference between revisions
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'''[[EDF|Division of the just perfect fifth]] into 48 equal parts''' (48EDF) is related to [[82edo | '''[[EDF|Division of the just perfect fifth]] into 48 equal parts''' (48EDF) is related to [[82edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The octave is [[Octave shrinking|compressed]] by about 0.8269 [[cents]] and the step size is about 14.6241 cents. | ||
Unlike 82edo, it is only consistent up to the 4-[[integer-limit]], with discrepancy for the 5th harmonic. | |||
Lookalikes: [[82edo]], [[130edt]] | Lookalikes: [[82edo]], [[130edt]] | ||
== Harmonics == | |||
{{Harmonics in equal|48|3|2|intervals=prime}} | |||
{{stub}} | |||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 04:33, 18 December 2024
| ← 47edf | 48edf | 49edf → |
Division of the just perfect fifth into 48 equal parts (48EDF) is related to 82edo, but with the 3/2 rather than the 2/1 being just. The octave is compressed by about 0.8269 cents and the step size is about 14.6241 cents.
Unlike 82edo, it is only consistent up to the 4-integer-limit, with discrepancy for the 5th harmonic.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.83 | -0.83 | +6.88 | -5.29 | +1.92 | +5.19 | -5.89 | +6.28 | -2.75 | +5.42 | +6.96 |
| Relative (%) | -5.7 | -5.7 | +47.1 | -36.2 | +13.1 | +35.5 | -40.3 | +43.0 | -18.8 | +37.1 | +47.6 | |
| Steps (reduced) |
82 (34) |
130 (34) |
191 (47) |
230 (38) |
284 (44) |
304 (16) |
335 (47) |
349 (13) |
371 (35) |
399 (15) |
407 (23) | |
|
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