1337edo: Difference between revisions

Cleanup; -redundant categories
Expand on theory; adopt template: Factorization
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{{EDO intro|1337}}
{{EDO intro|1337}}


In the 7-limit on the [[patent val]], 1337edo supports [[tertiaseptal]]. In the 11-limit on the patent val, it supports [[hemitert]].
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 ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 1337 factors as 7 × 191, 1337edo contains [[7edo]] and [[191edo]] as its subsets.
Since 1337 factors into {{factorization|1337}}, 1337edo contains [[7edo]] and [[191edo]] as subsets.