239edo: Difference between revisions
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'''239edo''' is the [[EDO|equal division of the octave]] into 239 parts of 5.0209 [[cent]]s each. In the 7-limit, it tempers out 2401/2400, 5120/5103, and 29360128/29296875, [[support|supporting]] [[ | '''239edo''' is the [[EDO|equal division of the octave]] into 239 parts of 5.0209 [[cent]]s each. In the 7-limit, it tempers out [[2401/2400]], [[5120/5103]], and 29360128/29296875, [[support|supporting]] the [[hemififths]] temperament, providing an excellent tuning. It also supports and provides a good tuning for [[quasiorwell]] and [[alphaquarter]]. In the 11-limit, it tempers out [[3025/3024]], [[4000/3993]], 5632/5625, and 12005/11979. | ||
239edo is the 52nd [[prime | 239edo is the 52nd [[prime edo]]. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|239}} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Hemififths]] | |||
[[Category:Quasiorwell]] | |||
[[Category:Alphaquarter]] | |||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
Revision as of 09:37, 3 March 2022
239edo is the equal division of the octave into 239 parts of 5.0209 cents each. In the 7-limit, it tempers out 2401/2400, 5120/5103, and 29360128/29296875, supporting the hemififths temperament, providing an excellent tuning. It also supports and provides a good tuning for quasiorwell and alphaquarter. In the 11-limit, it tempers out 3025/3024, 4000/3993, 5632/5625, and 12005/11979.
239edo is the 52nd prime edo.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.97 | +0.30 | +0.21 | +0.98 | -2.03 | +0.48 | -1.28 | -0.66 | -0.29 | -0.27 |
| Relative (%) | +0.0 | +19.4 | +5.9 | +4.2 | +19.6 | -40.5 | +9.6 | -25.5 | -13.1 | -5.7 | -5.3 | |
| Steps (reduced) |
239 (0) |
379 (140) |
555 (77) |
671 (193) |
827 (110) |
884 (167) |
977 (21) |
1015 (59) |
1081 (125) |
1161 (205) |
1184 (228) | |