1337edo: Difference between revisions

BudjarnLambeth (talk | contribs)
mNo edit summary
ArrowHead294 (talk | contribs)
mNo edit summary
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{novelty}}{{stub}}{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1337}}
{{ED intro}}


== Theory ==
1337edo is [[consistent]] to the [[13-odd-limit]], although the errors of [[harmonic]]s [[5/1|5]], [[7/1|7]], and [[13/1|13]] are quite large. The equal temperament [[tempering out|tempers out]] 2401/2400 ([[breedsma]]), 65625/65536 ([[horwell comma]]) and 703125/702464 ([[meter]]) in the 7-limit, so that it [[support]]s [[tertiaseptal]]. In the 11-limit it tempers out [[3025/3024]] and [[41503/41472]], so that it supports [[hemitert]].
 
=== Odd harmonics ===
{{Harmonics in equal|1337}}
{{Harmonics in equal|1337}}
1337 factors as 7 * 191.
In the 7-limit on the patent val, 1337edo supports [[tertiaseptal]]. In the 11-limit on the patent val, it supports [[hemitert]].


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
=== Subsets and supersets ===
Since 1337 factors into {{factorization|1337}}, 1337edo contains [[7edo]] and [[191edo]] as subsets.