95edo: Difference between revisions

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== Theory ==

~~{{Harmonics in equal~~|~~95}}~~

95edo is a [[dual-fifth tuning]]. Using the [[patent val]], it [[tempering out|tempers out]] [[245/243]], [[2401/2400]], and [[4000/3969]] in the 7-limit, [[176/175]], 1331/1323, [[4000/3993]] and [[6250/6237]] in the 11-limit, and [[196/195]], [[325/324]], [[364/363]], [[640/637]], [[847/845]], [[1001/1000]] and [[2200/2197]] in the 13-limit.

It tempers out 245/243, 4000/3969 ~~and 2401/2400~~ in the 7-limit, 1331/1323, ~~176~~/~~175,~~ 6250/6237 ~~and 4000/3993~~ in the 11-limit, and 196/195, ~~640/637,~~ 325/324, 364/363, 847/845, 1001/1000 and 2200/2197 in the 13-limit.

It ~~supports the~~ rank 2 temperaments [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]].

It [[support]]s rank-2 temperaments such as [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]], and rank-3 temperaments such as [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.

~~It supports the rank 3 temperaments [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]].~~

=== Odd harmonics ===

~~It provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus~~|~~shrusus temperament]].~~

95 factors as 5*19, so it contains both [[5edo]] and [[19edo~~]]. It is also a [[dual-fifth tuning~~]].

=== Subsets and supersets ===

95 factors as 5 × 19, so it contains both [[5edo]] and [[19edo]].

== Intervals ==

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

[[Category:Shrusus]]

@@ Line 3: / Line 3: @@
 == Theory ==
-{{Harmonics in equal|95}}
+edo is a [[dual-fifth tuning]]. Using the [[patent val]], it [[tempering out|tempers out]] [[245/243]], [[2401/2400]], and [[4000/3969]] in the 7-limit, [[176/175]], 1331/1323, [[4000/3993]] and [[6250/6237]] in the 11-limit, and [[196/195]], [[325/324]], [[364/363]], [[640/637]], [[847/845]], [[1001/1000]] and [[2200/2197]] in the 13-limit.
-It tempers out 245/243, 4000/3969 and 2401/2400 in the 7-limit, 1331/1323, 176/175, 6250/6237 and 4000/3993 in the 11-limit, and 196/195, 640/637, 325/324, 364/363, 847/845, 1001/1000 and 2200/2197 in the 13-limit.
-It supports the rank 2 temperaments [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]].
+It [[support]]s rank-2 temperaments such as [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]], and rank-3 temperaments such as [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.
-It supports the rank 3 temperaments [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]].
+=== Odd harmonics ===
+{{Harmonics in equal|95}}
-It provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]].
-factors as 5*19, so it contains both [[5edo]] and [[19edo]]. It is also a [[dual-fifth tuning]].
+=== Subsets and supersets ===
+factors as 5 × 19, so it contains both [[5edo]] and [[19edo]].
 == Intervals ==
 {{Interval table}}
-[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
+[[Category:Shrusus]]