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Created page with "'''559EDO''' is the equal division of the octave into 559 parts of 2.146691 cents each. It tempers out the luna comma, 2748779069..." Tags: Mobile edit Mobile web edit |
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'''559EDO''' is the [[EDO|equal division of the octave]] into 559 parts of 2.146691 [[cent]]s each. It [[tempering_out|tempers out]] the [[Luna family|luna comma]], 274877906944/274658203125 and the [[Minortonic family| | '''559EDO''' is the [[EDO|equal division of the octave]] into 559 parts of 2.146691 [[cent]]s each. It [[tempering_out|tempers out]] the [[Luna family|luna comma]], 274877906944/274658203125 and the [[Minortonic family|minortonma]], {{monzo|-16 35 -17}} in the [[5-limit]], as well as the [[monzisma]], {{monzo|54 -37 2}}; 4375/4374, 2100875/2097152, and 282475249/281250000 in the [[7-limit]]; 12005/11979, 41503/41472, 160083/160000, and 172032/171875 in the [[11-limit]]. Rank two temperaments it supports include [[Minortonic family #Mitonic|mitonic]], [[Luna family #Lunatic|lunatic]], [[Ragismic microtemperaments #Acrokleismic|acrokleismic]], [[Ragismic microtemperaments #Monzism|monzism]], and [[Mitonismic temperaments #Meridic|meridic]]. | ||
{{Primes in edo|edo=559|columns=11|prec=3}} | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 21:38, 22 August 2021
559EDO is the equal division of the octave into 559 parts of 2.146691 cents each. It tempers out the luna comma, 274877906944/274658203125 and the minortonma, [-16 35 -17⟩ in the 5-limit, as well as the monzisma, [54 -37 2⟩; 4375/4374, 2100875/2097152, and 282475249/281250000 in the 7-limit; 12005/11979, 41503/41472, 160083/160000, and 172032/171875 in the 11-limit. Rank two temperaments it supports include mitonic, lunatic, acrokleismic, monzism, and meridic.
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