288edo: Difference between revisions
Jump to navigation
Jump to search
new temp |
m Sort key |
||
| Line 9: | Line 9: | ||
{{Harmonics in equal|288}} | {{Harmonics in equal|288}} | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|###]] | ||
Revision as of 01:53, 29 September 2022
Theory
288edo is the least common multiple of 72edo and 96edo, which are historically notable. 72edo has been used in Byzantine chanting, has been theoreticized by Alois Haba and Ivan Wyschnegradsky, and has been used by jazz musician Joe Maneri. 96edo has been used by Julian Carrillo. This description as a corollary also fits every edo that is a multiple of 288, like 576 or 2016.
288beg val is a tuning for the tolerant and terrapyth temperaments in the 17-limit.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.96 | +1.19 | +2.01 | +0.26 | -1.32 | +1.14 | -0.77 | -0.79 | -1.68 | +0.05 | +0.89 |
| Relative (%) | -46.9 | +28.5 | +48.2 | +6.2 | -31.6 | +27.3 | -18.4 | -18.9 | -40.3 | +1.3 | +21.4 | |
| Steps (reduced) |
456 (168) |
669 (93) |
809 (233) |
913 (49) |
996 (132) |
1066 (202) |
1125 (261) |
1177 (25) |
1223 (71) |
1265 (113) |
1303 (151) | |