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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.
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.
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.
{| class="wikitable"
|+Circulating temperaments in 95edo
!Tones
!Pattern
!L:s
|-
|5
|[[5edo]]
|equal
|-
|6
|[[5L 1s]]
|16:15
|-
|7
|[[4L 3s]]
|14:13
|-
|8
|[[7L 1s]]
|12:11
|-
|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
|-
|39
|17L 22s
|-
|40
|15L 25s
|-
|41
|13L 28s
|-
|42
|11L 31s
|-
|43
|9L 34s
|-
|44
|7L 37s
|-
|45
|5L 40s
|-
|46
|3L 43s
|-
|47
|1L 46s
|-
|48
|47L 1s
| rowspan="28" |2:1
|-
|49
|46L 3s
|-
|50
|45L 5s
|-
|51
|44L 7s
|-
|52
|43L 9s
|-
|53
|42L 11s
|-
|54
|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
|}
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