220edo: Difference between revisions
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'''220edo''' is the [[EDO|equal division of the octave]] into 220 parts of 5.4545 [[cent]]s each | '''220edo''' is the [[EDO|equal division of the octave]] into 220 parts of 5.4545 [[cent]]s each. It is consistent to the 7-odd-limit. | ||
Using the patent val, it tempers out 131072000/129140163 (rodan comma) and 6115295232/6103515625 (vishnuzma) in the 5-limit; 6144/6125, 10976/10935, and 390625/388962 in the 7-limit; 1331/1323, 1375/1372, 2200/2187, and 16384/16335 in the 11-limit; 325/324, 352/351, 1001/1000, 1573/1568, and 2704/2695 in the 13-limit. | |||
{{Harmonics in equal|220}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 07:08, 24 June 2023
| ← 219edo | 220edo | 221edo → |
220edo is the equal division of the octave into 220 parts of 5.4545 cents each. It is consistent to the 7-odd-limit.
Using the patent val, it tempers out 131072000/129140163 (rodan comma) and 6115295232/6103515625 (vishnuzma) in the 5-limit; 6144/6125, 10976/10935, and 390625/388962 in the 7-limit; 1331/1323, 1375/1372, 2200/2187, and 16384/16335 in the 11-limit; 325/324, 352/351, 1001/1000, 1573/1568, and 2704/2695 in the 13-limit.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.68 | +0.96 | +2.08 | -2.09 | -0.41 | -0.53 | +2.64 | -1.32 | +2.49 | -1.69 | -1.00 |
| Relative (%) | +30.8 | +17.6 | +38.2 | -38.4 | -7.5 | -9.7 | +48.4 | -24.2 | +45.6 | -31.0 | -18.4 | |
| Steps (reduced) |
349 (129) |
511 (71) |
618 (178) |
697 (37) |
761 (101) |
814 (154) |
860 (200) |
899 (19) |
935 (55) |
966 (86) |
995 (115) | |