|
|
| Line 143: |
Line 143: |
| | 55/39 | | | 55/39 |
| | [[Gaster temperament|Gaster]] | | | [[Gaster temperament|Gaster]] |
| |}
| |
|
| |
| == Scales ==
| |
| Since 113edo has a step of 10.6195 cents, it also allows one to use its MOS scales as circulating temperaments{{clarify}}. It is the first edo which allows one to use an MOS scale of 90 tones or more as a circulating temperament.
| |
|
| |
| {| class="wikitable"
| |
| |+Circulating temperaments in 113edo
| |
| !Tones
| |
| !Pattern
| |
| !L:s
| |
| |-
| |
| |5
| |
| |[[3L 2s]]
| |
| |23:22
| |
| |-
| |
| |6
| |
| |[[5L 1s]]
| |
| |19:18
| |
| |-
| |
| |7
| |
| |[[1L 6s]]
| |
| |17:16
| |
| |-
| |
| |8
| |
| |[[1L 7s]]
| |
| |15:14
| |
| |-
| |
| |9
| |
| |[[5L 4s]]
| |
| |13:12
| |
| |-
| |
| |10
| |
| |[[3L 7s]]
| |
| |12:11
| |
| |-
| |
| |11
| |
| |[[3L 8s]]
| |
| |11:10
| |
| |-
| |
| |12
| |
| |[[5L 7s]]
| |
| |10:9
| |
| |-
| |
| |13
| |
| |[[9L 4s]]
| |
| | rowspan="2" |9:8
| |
| |-
| |
| |14
| |
| |[[1L 13s]]
| |
| |-
| |
| |15
| |
| |[[7L 8s]]
| |
| | rowspan="2" |8:7
| |
| |-
| |
| |16
| |
| |1L 15s
| |
| |-
| |
| |17
| |
| |[[11L 6s]]
| |
| | rowspan="2" |7:6
| |
| |-
| |
| |18
| |
| |5L 13s
| |
| |-
| |
| |19
| |
| |18L 1s
| |
| | rowspan="4" |6:5
| |
| |-
| |
| |20
| |
| |[[13L 7s]]
| |
| |-
| |
| |21
| |
| |[[8L 13s]]
| |
| |-
| |
| |22
| |
| |[[3L 19s]]
| |
| |-
| |
| |23
| |
| |21L 2s
| |
| | rowspan="6" |5:4
| |
| |-
| |
| |24
| |
| |[[17L 7s]]
| |
| |-
| |
| |25
| |
| |13L 12s
| |
| |-
| |
| |26
| |
| |9L 17s
| |
| |-
| |
| |27
| |
| |[[5L 22s]]
| |
| |-
| |
| |28
| |
| |1L 27s
| |
| |-
| |
| |29
| |
| |26L 3s
| |
| | rowspan="9" |4:3
| |
| |-
| |
| |30
| |
| |23L 7s
| |
| |-
| |
| |31
| |
| |20L 11s
| |
| |-
| |
| |32
| |
| |17L 15s
| |
| |-
| |
| |33
| |
| |14L 19s
| |
| |-
| |
| |34
| |
| |11L 23s
| |
| |-
| |
| |35
| |
| |8L 27s
| |
| |-
| |
| |36
| |
| |5L 31s
| |
| |-
| |
| |37
| |
| |2L 35s
| |
| |-
| |
| |38
| |
| |37L 1s
| |
| | rowspan="19" |3:2
| |
| |-
| |
| |39
| |
| |35L 4s
| |
| |-
| |
| |40
| |
| |33L 7s
| |
| |-
| |
| |41
| |
| |31L 10s
| |
| |-
| |
| |42
| |
| |29L 13s
| |
| |-
| |
| |43
| |
| |27L 16s
| |
| |-
| |
| |44
| |
| |25L 19s
| |
| |-
| |
| |45
| |
| |23L 22s
| |
| |-
| |
| |46
| |
| |21L 25s
| |
| |-
| |
| |47
| |
| |19L 28s
| |
| |-
| |
| |48
| |
| |17L 31s
| |
| |-
| |
| |49
| |
| |15L 34s
| |
| |-
| |
| |50
| |
| |13L 37s
| |
| |-
| |
| |51
| |
| |11L 40s
| |
| |-
| |
| |52
| |
| |9L 43s
| |
| |-
| |
| |53
| |
| |7L 46s
| |
| |-
| |
| |54
| |
| |5L 49s
| |
| |-
| |
| |55
| |
| |3L 52s
| |
| |-
| |
| |56
| |
| |1L 55s
| |
| |-
| |
| |57
| |
| |56L 1s
| |
| | rowspan="34" |2:1
| |
| |-
| |
| |58
| |
| |55L 3s
| |
| |-
| |
| |59
| |
| |54L 5s
| |
| |-
| |
| |60
| |
| |53L 7s
| |
| |-
| |
| |61
| |
| |52L 9s
| |
| |-
| |
| |62
| |
| |51L 11s
| |
| |-
| |
| |63
| |
| |50L 13s
| |
| |-
| |
| |64
| |
| |49L 15s
| |
| |-
| |
| |65
| |
| |48L 17s
| |
| |-
| |
| |66
| |
| |47L 19s
| |
| |-
| |
| |67
| |
| |46L 21s
| |
| |-
| |
| |68
| |
| |45L 23s
| |
| |-
| |
| |69
| |
| |44L 25s
| |
| |-
| |
| |70
| |
| |43L 27s
| |
| |-
| |
| |71
| |
| |42L 29s
| |
| |-
| |
| |72
| |
| |41L 31s
| |
| |-
| |
| |73
| |
| |40L 33s
| |
| |-
| |
| |74
| |
| |39L 35s
| |
| |-
| |
| |75
| |
| |38L 37s
| |
| |-
| |
| |76
| |
| |37L 39s
| |
| |-
| |
| |77
| |
| |36L 41s
| |
| |-
| |
| |78
| |
| |35L 43s
| |
| |-
| |
| |79
| |
| |34L 45s
| |
| |-
| |
| |80
| |
| |33L 47s
| |
| |-
| |
| |81
| |
| |32L 49s
| |
| |-
| |
| |82
| |
| |31L 51s
| |
| |-
| |
| |83
| |
| |30L 53s
| |
| |-
| |
| |84
| |
| |29L 55s
| |
| |-
| |
| |85
| |
| |28L 57s
| |
| |-
| |
| |86
| |
| |27L 59s
| |
| |-
| |
| |87
| |
| |26L 61s
| |
| |-
| |
| |88
| |
| |25L 63s
| |
| |-
| |
| |89
| |
| |24L 65s
| |
| |-
| |
| |90
| |
| |23L 67s
| |
| |} | | |} |
|
| |
|
| [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> |
| [[Category:Prime EDO]] | | [[Category:Prime EDO]] |