95edo: Difference between revisions

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== Theory ==

95edo is a [[dual-fifth tuning]]. However, the [[patent val]] makes for a reasonable sharp-tending system, and [[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 [[support]]s rank-2 temperaments such as [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]], and rank-3 temperaments such as [[manwe]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.

=== Odd harmonics ===

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]].~~

=== Subsets and supersets ===

Since 95 factors as {{factorization|95}}, 95edo contains [[5edo]] and [[19edo]] as its subsets.

== Intervals ==

[[Category:Shrusus]]

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

== Instruments ==

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

A [[Lumatone mapping for 95edo]] is available.

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

== Music ==

; [[Bryan Deister]]

* [https://www.youtube.com/watch?v=io8qp3GA5vU ''microtonal improvisation in 95edo''] (2025)

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

; [[JUMBLE]]

* [https://youtu.be/6XC5bnu6SwY ''Puget Sound Asleep''] (2024)

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|95}}
+{{ED intro}}
 == Theory ==
+edo is a [[dual-fifth tuning]]. However, the [[patent val]] makes for a reasonable sharp-tending system, and [[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 [[support]]s rank-2 temperaments such as [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]], and rank-3 temperaments such as [[manwe]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.
+=== Odd harmonics ===
 {{Harmonics in equal|95}}
-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]].
+=== Subsets and supersets ===
+Since 95 factors as {{factorization|95}}, 95edo contains [[5edo]] and [[19edo]] as its subsets.
+== Intervals ==
+{{Interval table}}
+[[Category:Shrusus]]
-It supports the rank 3 temperaments [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]].
+== Instruments ==
-It provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]].
+A [[Lumatone mapping for 95edo]] is available.
-factors as 5*19, so it contains both [[5edo]] and [[19edo]]. It is also a [[dual-fifth tuning]].
+== Music ==
+; [[Bryan Deister]]
+* [https://www.youtube.com/watch?v=io8qp3GA5vU ''microtonal improvisation in 95edo''] (2025)
-[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
+; [[JUMBLE]]
+* [https://youtu.be/6XC5bnu6SwY ''Puget Sound Asleep''] (2024)