281edo: Difference between revisions
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281edo is the 60th [[prime EDO]]. | 281edo is the 60th [[prime EDO]]. | ||
{{Harmonics in equal|281}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
Revision as of 03:21, 24 June 2023
| ← 280edo | 281edo | 282edo → |
281edo is the equal division of the octave into 281 parts of 4.2705 cents each. It tempers out 225/224 in the 7-limit, and 243/242 and 4000/3993 in the 11-limit limit, so that it supports marvo temperament and provides the optimal patent val; it also gives the optimal patent val for the rank three spectacle temperament.
281edo is the 60th prime EDO.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.60 | -1.97 | +0.57 | +1.07 | -0.43 | +0.75 | +0.70 | +1.81 | +1.42 | -1.03 | -0.52 |
| Relative (%) | -37.4 | -46.2 | +13.3 | +25.1 | -10.0 | +17.6 | +16.4 | +42.3 | +33.2 | -24.1 | -12.1 | |
| Steps (reduced) |
445 (164) |
652 (90) |
789 (227) |
891 (48) |
972 (129) |
1040 (197) |
1098 (255) |
1149 (25) |
1194 (70) |
1234 (110) |
1271 (147) | |