901edo: Difference between revisions

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'''901edo''' is the [[EDO|equal division of the octave]] into 901 parts of 1.33185 cents each. It is consistent to the 15-limit, tempering out |-16 35 -17> (minortonic comma) and |-68 18 17> (vavoom comma) in the 5-limit; 4375/4374, 2100875/2097152, and 12401793332096/12359619140625 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 the [[Minortonic family|mitonic temperament]] and the [[Very high accuracy temperaments|egads temperament]].

[[~~Category:Equal divisions of~~ the ~~octave~~|~~###~~]]

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]].

=== Prime harmonics ===

=== 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.

[[1802edo]], which doubles 901edo, corrects the mapping for 7.

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-'''901edo''' is the [[EDO|equal division of the octave]] into 901 parts of 1.33185 cents each. It is consistent to the 15-limit, tempering out |-16 35 -17&gt; (minortonic comma) and |-68 18 17&gt; (vavoom comma) in the 5-limit; 4375/4374, 2100875/2097152, and 12401793332096/12359619140625 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 the [[Minortonic family|mitonic temperament]] and the [[Very high accuracy temperaments|egads temperament]].
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+edo 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]].
+=== Prime harmonics ===
+{{Harmonics in equal|901|columns=11}}
+=== Subsets and supersets ===
+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.