653edo: Difference between revisions

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'''653edo''' is the [[EDO|equal division of the octave]] into 653 parts of 1.837672 [[cent]]s each. It is consistent to the [[21-odd-limit|21-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.
{{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]]