1092edo: Difference between revisions

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
+{{ED intro}}
-{{EDO intro|1092}}
+edo 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.
-edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the [[13-odd-limit]]. It is not consistent higher than that because 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 [[Kalismic temperaments#Loki|loki]] temperament.
+In higher limits, 1092edo is accurate in the 2.13.29.31.53.59 subgroup.
-In higher limits, 1092edo is good at the 2.13.29.31.53.59 subgroup.
 === Odd harmonics ===
 {{Harmonics in equal|1092}}
+=== 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 }}.
+[[Category:Sextile]]
+[[Category:Loki]]