2554edo: Difference between revisions

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~~{{novelty}}{{stub}}~~{{Infobox ET|~~consistency~~=41|~~distinct~~ consistency=41}}

~~'''~~2554edo~~'''~~ is a remarkable very high limit equal temperament~~, [[EDO|dividing the octave equally]] into 2554 parts of 0.469851 [[cent]]s each~~. It is [[consistent]] through the [[41-odd-limit]] distinctly, tempering out 3025/3024, 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the [[optimal patent val]] for the rank-4 temperament tempering out [[3025/3024]], the lehmerisma, and [[thor]], the rank-3 temperament also tempering out [[4375/4374]].

2554edo is a remarkable very high limit equal temperament. It is [[consistent]] through the [[41-odd-limit]] distinctly, [[tempering out]] [[3025/3024]], 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3025/3024, the lehmerisma, and [[thor]], the rank-3 temperament also tempering out [[4375/4374]]. It is [[Enfactoring|enfactored]] in the 7-limit, with the same mapping as [[1277edo]].

=== Prime harmonics ===

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

=== Subsets and supersets ===

Since 2554 factors into {{factorization|2554}}, 2554edo contains [[2edo]] and 1277edo as subsets.

[[Category:Lehmerismic]]

[[Category:Thor]]

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-{{novelty}}{{stub}}{{Infobox ET|consistency=41|distinct consistency=41}}
+{{Infobox ET|Consistency=41|Distinct consistency=41}}
-'''2554edo''' is a remarkable very high limit equal temperament, [[EDO|dividing the octave equally]] into 2554 parts of 0.469851 [[cent]]s each. It is [[consistent]] through the [[41-odd-limit]] distinctly, tempering out 3025/3024, 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the [[optimal patent val]] for the rank-4 temperament tempering out [[3025/3024]], the lehmerisma, and [[thor]], the rank-3 temperament also tempering out [[4375/4374]].
+{{ED intro}}
+edo is a remarkable very high limit equal temperament. It is [[consistent]] through the [[41-odd-limit]] distinctly, [[tempering out]] [[3025/3024]], 4675/4674, 6325/6324, 7106/7105, 7216/7215, 7905/7904, 12155/12152, 13300/13299, 13950/13949, 14652/14651, 56265/56252, and 92701/92690. It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3025/3024, the lehmerisma, and [[thor]], the rank-3 temperament also tempering out [[4375/4374]]. It is [[Enfactoring|enfactored]] in the 7-limit, with the same mapping as [[1277edo]].
 === Prime harmonics ===
 {{Harmonics in equal|2554|columns=13}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+=== Subsets and supersets ===
+Since 2554 factors into {{factorization|2554}}, 2554edo contains [[2edo]] and 1277edo as subsets.
 [[Category:Lehmerismic]]
 [[Category:Thor]]