95edo: Difference between revisions

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== Theory ==

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.

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 ~~[[breed]],~~ [[manwe~~]], [[octagari]], [[octarod~~]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.

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 ===

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=== Subsets and supersets ===

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

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

== Intervals ==

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[[Category:Shrusus]]

== Instruments ==

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

== Music ==

; [[Bryan Deister]]

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

; [[JUMBLE]]

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

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 {{Infobox ET}}
-{{EDO intro|95}}
+{{ED intro}}
 == Theory ==
-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.
+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 [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]]. It provides the [[optimal patent val]] for shrusus.
+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 ===
@@ Line 11: / Line 11: @@
 === Subsets and supersets ===
-factors as 5 × 19, so it contains both [[5edo]] and [[19edo]].
+Since 95 factors as {{factorization|95}}, 95edo contains [[5edo]] and [[19edo]] as its subsets.
 == Intervals ==
@@ Line 17: / Line 17: @@
 [[Category:Shrusus]]
+== Instruments ==
+A [[Lumatone mapping for 95edo]] is available.
+== Music ==
+; [[Bryan Deister]]
+* [https://www.youtube.com/watch?v=io8qp3GA5vU ''microtonal improvisation in 95edo''] (2025)
+; [[JUMBLE]]
+* [https://youtu.be/6XC5bnu6SwY ''Puget Sound Asleep''] (2024)