229edo: Difference between revisions

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The ''229 equal division'' divides the octave into 229 equal parts of 5.240 cents each. In the 5-limit it tempers out the wuerschmidt comma, 393216/390625, and in the 7-limit 3136/3125, 6144/6125 and 2401/2400, so that it supports wuerschmidt and hemiwuerschmidt temperament. 229 is the 50th prime EDO.
'''229EDO''' is the [[EDO|equal division of the octave]] into 229 parts of 5.2402 [[cent]]s each. It tempers out 393216/390625 ([[würschmidt comma]]) and 68719476736000/68630377364883 ([[tricot comma]]) in the 5-limit; 2401/2400, 3136/3125, and 14348907/14336000 in the 7-limit; 3025/3024, 3388/3375, 8019/8000, and 15488/15435 in the 11-limit, so that it supports the [[Würschmidt family|hemiwürschmidt temperament]].
 
229EDO is the 50th [[prime EDO]].
 
 
[[Category:hemiwuerschmidt]]
[[Category:hemiwuerschmidt]]
[[Category:hemiwurschmidt]]
[[Category:wuerschmidt]]
[[Category:wuerschmidt]]
[[Category:wurschmidt]]
[[Category:Edo]]
[[Category:Prime EDO]]

Revision as of 03:32, 13 March 2019

229EDO is the equal division of the octave into 229 parts of 5.2402 cents each. It tempers out 393216/390625 (würschmidt comma) and 68719476736000/68630377364883 (tricot comma) in the 5-limit; 2401/2400, 3136/3125, and 14348907/14336000 in the 7-limit; 3025/3024, 3388/3375, 8019/8000, and 15488/15435 in the 11-limit, so that it supports the hemiwürschmidt temperament.

229EDO is the 50th prime EDO.