901edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
901edo is [[consistent]] to the [[15-odd-limit]]. The equal temperament [[tempering out|tempers out]] {{monzo| -16 35 -17 }} (minortone comma) and {{monzo| -68 18 17 }} (vavoom comma) in the 5-limit; [[4375/4374]], [[2100875/2097152]], and {{monzo| 7 -4 -16 13 }} in the 7-limit; [[41503/41472]], 160083/160000, 234375/234256, and 806736/805255 in the 11-limit; [[4225/4224]], 4459/4455, [[6656/6655]], 34398/34375, and 50421/50336 in the 13-limit, supporting [[mitonic]], [[vavoom]], and [[egads]]. | 901edo is [[consistent]] to the [[15-odd-limit]]. The equal temperament [[tempering out|tempers out]] {{monzo| -16 35 -17 }} (minortone comma) and {{monzo| -68 18 17 }} (vavoom comma) in the 5-limit; [[4375/4374]], [[2100875/2097152]], and {{monzo| 7 -4 -16 13 }} in the 7-limit; [[41503/41472]], 160083/160000, 234375/234256, and 806736/805255 in the 11-limit; [[4225/4224]], 4459/4455, [[6656/6655]], 34398/34375, and 50421/50336 in the 13-limit, supporting [[mitonic]], [[vavoom]], and [[egads]]. | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
901 factors into {{factorization|901}}. In light of containing [[17edo]] and [[53edo]] as subsets, it supports the [[chlorine]] temperament, which has period 17, and [[iodine]] temperament, which has period 53. | 901 factors into {{factorization|901}}. In light of containing [[17edo]] and [[53edo]] as subsets, it supports the [[chlorine]] temperament, which has period 17, and [[iodine]] temperament, which has period 53. | ||
[[1802edo]], which doubles 901edo, corrects the mapping for 7. | |||