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<math>111 = 3 \cdot 37</math>
<math>111 = 3 \cdot 37</math>


Since 111edo has a step of 10.81 cents, it also allows one to use its MOS scales as circulating temperaments. As 10*[[11edo]], it is the first edo which allows one to use consecutive smaller edos as circulating temperaments.
{| class="wikitable"
|+Circulating temperaments in 111edo
!Tones
!Pattern
!L:s
|-
|5
| [[1L 4s]]
|23:22
|-
|6
|[[3L 3s]]
|19:18
|-
|7
|[[6L 1s]]
|16:15
|-
|8
| [[7L 1s]]
|14:13
|-
|9
|[[3L 6s]]
|13:12
|-
| 10
|[[1L 9s]]
|12:11
|-
| 11
|[[1L 10s]]
|11:10
|-
| 12
|[[3L 9s]]
|10:9
|-
|13
| [[6L 7s]]
|9:8
|-
|14
|[[11L 3s]]
| rowspan="2" |8:7
|-
|15
|[[6L 9s]]
|-
|16
|[[15L 1s]]
| rowspan="3" |7:6
|-
|17
|[[9L 8s]]
|-
|18
|3L 15s
|-
|19
|[[16L 3s]]
| rowspan="4" |6:5
|-
|20
|11L 9s
|-
|21
|6L 15s
|-
|22
|1L 21s
|-
|23
|19L 4s
| rowspan="5" | 5:4
|-
|24
|15L 9s
|-
|25
| 11L 14s
|-
|26
|7L 19s
|-
|27
| 3L 24s
|-
|28
|27L 1s
| rowspan="9" |4:3
|-
|29
|24L 5s
|-
|30
|21L 9s
|-
|31
|18L 13s
|-
| 32
|15L 17s
|-
|33
|12L 21s
|-
|34
|9L 25s
|-
|35
|6L 29s
|-
|36
|3L 33s
|-
|37
|[[37edo]]
|equal
|-
|38
|35L 3s
| rowspan="18" |3:2
|-
|39
|33L 6s
|-
| 40
|31L 9s
|-
|41
|29L 12s
|-
|42
|27L 15s
|-
|43
|25L 18s
|-
|44
|23L 21s
|-
|45
|21L 24s
|-
|46
|19L 27s
|-
|47
|17L 30s
|-
|48
|15L 33s
|-
|49
|13L 36s
|-
|50
|11L 39s
|-
|51
|9L 42s
|-
|52
|7L 45s
|-
|53
|5L 48s
|-
|54
|3L 51s
|-
|55
|1L 54s
|-
|56
|55L 1s
| rowspan="33" |2:1
|-
|57
|54L 3s
|-
|58
|53L 5s
|-
|59
|52L 7s
|-
|60
|51L 9s
|-
|61
|50L 11s
|-
|62
|49L 13s
|-
|63
|48L 15s
|-
|64
|47L 17s
|-
|65
|46L 19s
|-
|66
|45L 21s
|-
|67
|44L 23s
|-
|68
|43L 25s
|-
|69
|42L 27s
|-
|70
|41L 29s
|-
|71
|40L 31s
|-
|72
|39L 33s
|-
|73
|38L 35s
|-
|74
|37L 37s
|-
|75
|36L 39s
|-
|76
|35L 41s
|-
|77
|34L 43s
|-
|78
|33L 45s
|-
|79
|32L 47s
|-
|80
|31L 49s
|-
|81
|30L 51s
|-
|82
|29L 53s
|-
|83
|28L 55s
|-
|84
|27L 57s
|-
|85
|26L 59s
|-
|86
|25L 61s
|-
|87
|24L 63s
|-
|88
|23L 65s
|}
== Music ==
== Music ==


Retrieved from "https://en.xen.wiki/w/111edo"