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