1092edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
1092edo is related to [[364edo]], but it differs in mapping for [[5/1|5]] and [[11/1|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament. | 1092edo is related to [[364edo]], but it differs in mapping for [[5/1|5]] and [[11/1|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament. | ||
In higher limits, 1092edo is | In higher limits, 1092edo is accurate in the 2.13.29.31.53.59 subgroup. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 1092 factors into {{factorization|1092}}, 1092edo has subset edos {{EDOs| 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, and 546 }}. | Since 1092 factors into {{factorization|1092}}, 1092edo has subset edos {{EDOs| 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, and 546 }}. | ||
[[Category:Sextile]] | |||
[[Category:Loki]] | |||