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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.
| | {{Infobox ET}} |
| | {{ED intro}} |
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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. |
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| 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.
| | 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. |
| {| class="wikitable"
| | |
| |+Circulating temperaments in 95edo
| | === Odd harmonics === |
| !Tones
| | {{Harmonics in equal|95}} |
| !Pattern
| | |
| !L:s
| | === Subsets and supersets === |
| |-
| | Since 95 factors as {{factorization|95}}, 95edo contains [[5edo]] and [[19edo]] as its subsets. |
| |5
| | |
| |[[5edo]]
| | == Intervals == |
| |equal
| | {{Interval table}} |
| |-
| | |
| |6
| | [[Category:Shrusus]] |
| |[[5L 1s]]
| | |
| |16:15
| | == Instruments == |
| |-
| | |
| |7
| | A [[Lumatone mapping for 95edo]] is available. |
| |[[4L 3s]]
| | |
| |14:13
| | == Music == |
| |-
| | ; [[Bryan Deister]] |
| |8
| | * [https://www.youtube.com/watch?v=io8qp3GA5vU ''microtonal improvisation in 95edo''] (2025) |
| |[[7L 1s]]
| | |
| |12:11
| | ; [[JUMBLE]] |
| |-
| | * [https://youtu.be/6XC5bnu6SwY ''Puget Sound Asleep''] (2024) |
| |9
| |
| |[[5L 4s]]
| |
| |11:10
| |
| |-
| |
| |10
| |
| |[[5L 5s]]
| |
| |10:9
| |
| |-
| |
| |11
| |
| |[[7L 4s]]
| |
| |9:8
| |
| |-
| |
| |12
| |
| |[[10L 2s]]
| |
| | rowspan="2" |8:7
| |
| |-
| |
| |13
| |
| |[[3L 10s]]
| |
| |-
| |
| |14
| |
| |[[10L 4s]]
| |
| | rowspan="2" |7:6
| |
| |- | |
| |15
| |
| |[[4L 11s]]
| |
| |-
| |
| |16
| |
| |15L 1s
| |
| | rowspan="3" |6:5
| |
| |-
| |
| |17
| |
| |[[10L 7s]] | |
| |-
| |
| |18
| |
| |5L 13s
| |
| |-
| |
| |19
| |
| |[[19edo]]
| |
| |equal
| |
| |-
| |
| |20
| |
| |15L 5s
| |
| | rowspan="4" |5:4
| |
| |-
| |
| |21
| |
| |11L 10s
| |
| |-
| |
| |22
| |
| |[[7L 15s]]
| |
| |-
| |
| |23
| |
| |[[3L 20s]]
| |
| |-
| |
| |24
| |
| |23L 1s
| |
| | rowspan="8" |4:3
| |
| |-
| |
| |25
| |
| |20L 5s
| |
| |-
| |
| |26
| |
| |17L 9s
| |
| |-
| |
| |27
| |
| |[[14L 13s]]
| |
| |-
| |
| |28
| |
| |11L 17s
| |
| |-
| |
| |29
| |
| |[[8L 21s]]
| |
| |-
| |
| |30
| |
| |5L 25s
| |
| |-
| |
| |31
| |
| |2L 29s
| |
| |-
| |
| |32
| |
| |31L 1s
| |
| | rowspan="16" |3:2
| |
| |-
| |
| |33
| |
| |29L 4s
| |
| |-
| |
| |34
| |
| |27L 7s
| |
| |-
| |
| |35
| |
| |25L 10s
| |
| |-
| |
| |36
| |
| |23L 13s
| |
| |-
| |
| |37
| |
| |21L 16s
| |
| |-
| |
| |38
| |
| |19L 19s
| |
| |-
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| |39
| |
| |17L 22s
| |
| |-
| |
| |40
| |
| |15L 25s
| |
| |-
| |
| |41
| |
| |13L 28s
| |
| |-
| |
| |42
| |
| |11L 31s
| |
| |-
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| |43
| |
| |9L 34s
| |
| |-
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| |44
| |
| |7L 37s
| |
| |-
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| |45
| |
| |5L 40s
| |
| |-
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| |46
| |
| |3L 43s
| |
| |-
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| |47
| |
| |1L 46s
| |
| |-
| |
| |48
| |
| |47L 1s
| |
| | rowspan="28" |2:1
| |
| |-
| |
| |49
| |
| |46L 3s
| |
| |-
| |
| |50
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| |45L 5s
| |
| |-
| |
| |51
| |
| |44L 7s
| |
| |-
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| |52
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| |43L 9s
| |
| |-
| |
| |53
| |
| |42L 11s
| |
| |-
| |
| |54
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| |41L 13s
| |
| |-
| |
| |55
| |
| |40L 15s
| |
| |-
| |
| |56
| |
| |39L 17s
| |
| |-
| |
| |57
| |
| |38L 19s
| |
| |-
| |
| |58
| |
| |37L 21s
| |
| |-
| |
| |59
| |
| |36L 23s
| |
| |-
| |
| |60
| |
| |35L 25s
| |
| |-
| |
| |61
| |
| |34L 27s
| |
| |-
| |
| |62
| |
| |33L 29s
| |
| |-
| |
| |63
| |
| |32L 31s
| |
| |-
| |
| |64
| |
| |31L 33s
| |
| |-
| |
| |65
| |
| |30L 35s
| |
| |-
| |
| |66
| |
| |29L 37s
| |
| |-
| |
| |67
| |
| |28L 39s
| |
| |-
| |
| |68
| |
| |27L 41s
| |
| |-
| |
| |69
| |
| |26L 43s
| |
| |-
| |
| |70
| |
| |25L 45s
| |
| |-
| |
| |71
| |
| |24L 47s
| |
| |-
| |
| |72
| |
| |23L 49s
| |
| |-
| |
| |73
| |
| |22L 51s
| |
| |-
| |
| |74
| |
| |21L 53s
| |
| |-
| |
| |75
| |
| |20L 55s
| |
| |}
| |