653edo: Difference between revisions
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{{EDO intro|653}} | |||
653edo is consistent to the [[21-odd-limit]], tempering out 68719476736000/68630377364883 ([[tricot comma]]) and {{monzo| -20 -24 25 }} ([[counterhanson comma]]) in the 5-limit; [[2401/2400]], 65625/65536, and 7656250000000/7625597484987 in the 7-limit; [[3025/3024]], [[41503/41472]], 496125/495616, and 1953125/1948617 in the 11-limit; [[2080/2079]], 4459/4455, [[6656/6655]], [[10985/10976]], and 170625/170368 in the 13-limit; [[1225/1224]], 2058/2057, 2431/2430, 2500/2499, 4914/4913, and 11271/11264 in the 17-limit; [[1445/1444]], [[1521/1520]], 1540/1539, [[1729/1728]], 3136/3135, 4200/4199, and 4394/4389 in the 19-limit. | |||
653edo is the 119th [[prime EDO]]. | 653edo is the 119th [[prime EDO]]. | ||
{{Harmonics in equal|653|columns=11}} | |||
[[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 20:36, 29 August 2022
653edo is consistent to the 21-odd-limit, tempering out 68719476736000/68630377364883 (tricot comma) and [-20 -24 25⟩ (counterhanson comma) in the 5-limit; 2401/2400, 65625/65536, and 7656250000000/7625597484987 in the 7-limit; 3025/3024, 41503/41472, 496125/495616, and 1953125/1948617 in the 11-limit; 2080/2079, 4459/4455, 6656/6655, 10985/10976, and 170625/170368 in the 13-limit; 1225/1224, 2058/2057, 2431/2430, 2500/2499, 4914/4913, and 11271/11264 in the 17-limit; 1445/1444, 1521/1520, 1540/1539, 1729/1728, 3136/3135, 4200/4199, and 4394/4389 in the 19-limit.
653edo is the 119th prime EDO.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.036 | -0.403 | -0.373 | -0.016 | -0.711 | -0.208 | +0.190 | +0.210 | -0.481 | -0.166 |
| Relative (%) | +0.0 | +1.9 | -21.9 | -20.3 | -0.9 | -38.7 | -11.3 | +10.3 | +11.4 | -26.2 | -9.0 | |
| Steps (reduced) |
653 (0) |
1035 (382) |
1516 (210) |
1833 (527) |
2259 (300) |
2416 (457) |
2669 (57) |
2774 (162) |
2954 (342) |
3172 (560) |
3235 (623) | |