496edo: Difference between revisions

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496edo is [[enfactoring|enfactored]] in the 11-limit, with the same tuning as [[248edo]], but the [[patent val]]s differ on the mapping for 13~~. As such, in the 11-limit it [[support]]s a compound of two chains of 11-limit [[bischismic]] temperaments~~. In the 13-limit patent val, it tempers out [[4225/4224]].

== Theory ==

496edo is [[enfactoring|enfactored]] in the 11-limit, with the same tuning as [[248edo]], but the [[patent val]]s differ on the mapping for 13. In the 13-limit patent val, it tempers out [[4225/4224]].

496edo is good with the 2.3.11.19 [[subgroup]]. For higher limits, it has good approximations of [[31/1|31]], [[37/1|37]], and [[47/1|47]]. In the 2.3.11.19 subgroup, it tempers out 131072/131043.

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=== Subsets and supersets ===

496 is the 3rd {{w|perfect number}}, factoring into {{factorization|496}}. Its nontrivial divisors are {{EDOs| 2, 4, 8, 16, 31, 62, 124, 248 }}, the most notable being 31.

== Scales ==

Since 496edo is enfactored 248edo, in the 11-limit it can represent a [[compound scale|compound]] of two chains of 11-limit [[bischismic]] temperaments, interlaced.

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 {{Infobox ET}}
-{{EDO intro|496}}
+{{ED intro}}
-edo is [[enfactoring|enfactored]] in the 11-limit, with the same tuning as [[248edo]], but the [[patent val]]s differ on the mapping for 13. As such, in the 11-limit it [[support]]s a compound of two chains of 11-limit [[bischismic]] temperaments. In the 13-limit patent val, it tempers out [[4225/4224]].
+== Theory ==
+edo is [[enfactoring|enfactored]] in the 11-limit, with the same tuning as [[248edo]], but the [[patent val]]s differ on the mapping for 13. In the 13-limit patent val, it tempers out [[4225/4224]].
 edo is good with the 2.3.11.19 [[subgroup]]. For higher limits, it has good approximations of [[31/1|31]], [[37/1|37]], and [[47/1|47]]. In the 2.3.11.19 subgroup, it tempers out 131072/131043.
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 === Subsets and supersets ===
 is the 3rd {{w|perfect number}}, factoring into {{factorization|496}}. Its nontrivial divisors are {{EDOs| 2, 4, 8, 16, 31, 62, 124, 248 }}, the most notable being 31.
+== Scales ==
+Since 496edo is enfactored 248edo, in the 11-limit it can represent a [[compound scale|compound]] of two chains of 11-limit [[bischismic]] temperaments, interlaced.