109edo: Difference between revisions

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109edo is the 29th [[prime EDO]].
109edo is the 29th [[prime EDO]].


Since 109edo has a step of 11.009 cents, it also allows one to use its MOS scales as circulating temperaments.
{| class="wikitable"
|+Circulating temperaments in 109edo
!Tones
!Pattern
!L:s
|-
|5
|[[4L 1s]]
|22:21
|-
|6
|[[1L 5s]]
|19:18
|-
|7
|[[4L 3s]]
|16:15
|-
|8
|[[5L 3s]]
|14:13
|-
|9
|[[1L 8s]]
|13:12
|-
|10
|[[9L 1s]]
|11:10
|-
|11
|[[10L 1s]]
| rowspan="2" |10:9
|-
|12
|[[1L 11s]]
|-
|13
|[[4L 9s]]
|9:8
|-
|14
|[[11L 3s]]
| rowspan="2" |8:7
|-
|15
|[[4L 11s]]
|-
|16
|13L 3s
| rowspan="3" |7:6
|-
|17
|[[7L 10s]]
|-
|18
|1L 17s
|-
|19
|14L 5s
| rowspan="3" |6:5
|-
|20
|9L 11s
|-
|21
|4L 17s
|-
|22
|21L 1s
| rowspan="6" |5:4
|-
|23
|17L 6s
|-
|24
|13L 11s
|-
|25
|9L 16s
|-
|26
|5L 21s
|-
|27
|1L 26s
|-
|28
|25L 3s
| rowspan="9" |4:3
|-
|29
|22L 7s
|-
|30
|19L 11s
|-
|31
|16L 15s
|-
|32
|13L 19s
|-
|33
|10L 23s
|-
|34
|7L 27s
|-
|35
|4L 31s
|-
|36
|1L 35s
|-
|37
|35L 2s
| rowspan="18" |3:2
|-
|38
|33L 5s
|-
|39
|31L 8s
|-
|40
|29L 11s
|-
|41
|27L 14s
|-
|42
|25L 17s
|-
|43
|23L 20s
|-
|44
|21L 23s
|-
|45
|19L 26s
|-
|46
|17L 29s
|-
|47
|15L 32s
|-
|48
|13L 35s
|-
|49
|11L 38L
|-
|50
|9L 41s
|-
|51
|7L 44s
|-
|52
|5L 47s
|-
|53
|3L 50s
|-
|54
|1L 53s
|-
|55
|54L 1s
| rowspan="34" |2:1
|-
|56
|53L 3s
|-
|57
|52L 5s
|-
|58
|51L 7s
|-
|59
|50L 9s
|-
|60
|49L 11s
|-
|61
|48L 13s
|-
|62
|47L 15s
|-
|63
|46L 17s
|-
|64
|45L 19s
|-
|65
|44L 21s
|-
|66
|43L 23s
|-
|67
|42L 25s
|-
|68
|41L 27s
|-
|69
|40L 29s
|-
|70
|39L 31s
|-
|71
|38L 33s
|-
|72
|37L 35s
|-
|73
|36L 37s
|-
|74
|35L 39s
|-
|75
|34L 41s
|-
|76
|33L 43s
|-
|77
|32L 45s
|-
|78
|31L 47s
|-
|79
|30L 49s
|-
|80
|29L 51s
|-
|81
|28L 53s
|-
|82
|27L 55s
|-
|83
|26L 57s
|-
|84
|25L 59s
|-
|85
|24L 61s
|-
|86
|23L 63s
|-
|87
|22L 65s
|-
|88
|21L 67s
|}
[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:Prime EDO]]
[[Category:Prime EDO]]
[[Category:Theory]]
[[Category:Theory]]