95edo: Difference between revisions

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~~The~~ 95 equal ~~temperament divides the octave into 12.632 cents each.~~ 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 provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]]. 95 factors as 5*19.

~~{{harmonics in equal|95}}~~

== Theory ==

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 provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]]. 95 factors as 5*19.

== Temperament properties ==

Since 95edo has a step of 12.632 ~~cents~~, it also allows one to use its MOS scales as circulating temperaments. As 5*[[19edo]], it is also the first edo to have multiple circulating temperaments which reduce to other edos, called [[superenneadecal]].

Since 95edo has a step of 12.632{{cent}}, it also allows one to use its MOS scales as circulating temperaments. As 5*[[19edo]], it is also the first edo to have multiple circulating temperaments which reduce to other edos, called [[superenneadecal]].

{| class="wikitable"

|+Circulating temperaments in 95edo

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|20L 55s

|}

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

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-The 95 equal temperament divides the octave into 12.632 cents each. 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 provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]]. 95 factors as 5*19.
+{{EDO intro|95}}
-{{harmonics in equal|95}}
+== Theory ==
+{{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 provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]]. 95 factors as 5*19.
 == Temperament properties ==
-Since 95edo has a step of 12.632 cents, it also allows one to use its MOS scales as circulating temperaments. As 5*[[19edo]], it is also the first edo to have multiple circulating temperaments which reduce to other edos, called [[superenneadecal]].
+Since 95edo has a step of 12.632{{cent}}, it also allows one to use its MOS scales as circulating temperaments. As 5*[[19edo]], it is also the first edo to have multiple circulating temperaments which reduce to other edos, called [[superenneadecal]].
 {| class="wikitable"
 |+Circulating temperaments in 95edo
@@ Line 237: / Line 241: @@
 |20L 55s
 |}
+[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->