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'''115edo''' is the [[EDO|equal division of the octave]] into 115 parts of 10.4348 cents each. It tempers out 1594323/1562500 (unicorn comma) and 2109375/2097152 (semicomma) in the 5-limit, as well as 43046721/41943040 and 30958682112/30517578125 ([[Trisedodge family|trisedodge comma]]); 225/224, 1728/1715, and 9920232/9765625 in the 7-limit. 115edo supports the [[Semicomma family|newspeak temperament]], tempering out 441/440, 1375/1372, and 1944/1925 in the 11-limit. The wizardharry comma, 4000/3993 is also tempered out in 115edo.
'''115edo''' is the [[EDO|equal division of the octave]] into 115 parts of 10.4348 cents each. It tempers out 1594323/1562500 (unicorn comma) and 2109375/2097152 (semicomma) in the 5-limit, as well as 43046721/41943040 and 30958682112/30517578125 ([[Trisedodge family|trisedodge comma]]); 225/224, 1728/1715, and 9920232/9765625 in the 7-limit. 115edo supports the [[Semicomma family|newspeak temperament]], tempering out 441/440, 1375/1372, and 1944/1925 in the 11-limit. The wizardharry comma, 4000/3993 is also tempered out in 115edo.


Since 115edo has a step of 10.4348 cents, it also allows one to use its MOS scales as circulating temperaments.
{| class="wikitable"
|+Circulating temperaments in 115edo
!Tones
!Pattern
!L:s
|-
|5
|[[5edo]]
|equal
|-
|6
|[[1L 5s]]
|20:19
|-
|7
|[[3L 4s]]
|17:16
|-
|8
|[[2L 6s]]
|15:14
|-
|9
|[[7L 2s]]
|13:12
|-
|10
|[[5L 5s]]
|12:11
|-
|11
|[[5L 6s]]
|11:10
|-
|12
|[[7L 5s]]
|10:9
|-
|13
|[[11L 2s]]
| rowspan="2" |9:8
|-
|14
|[[3L 11s]]
|-
|15
|[[10L 5s]]
| rowspan="2" |8:7
|-
|16
|[[3L 13s]]
|-
|17
|13L 4s
| rowspan="3" |7:6
|-
|18
|7L 11s
|-
|19
|1L 18s
|-
|20
|15L 5s
| rowspan="3" |6:5
|-
|21
|[[10L 11s]]
|-
|22
|[[5L 17s]]
|-
|23
|[[23edo]]
|equal
|-
|24
|[[19L 5s]]
| rowspan="5" |5:4
|-
|25
|15L 10s
|-
|26
|11L 15s
|-
|27
|7L 20s
|-
|28
|3L 25s
|-
|29
|28L 1s
| rowspan="10" |4:3
|-
|30
|25L 5s
|-
|31
|22L 9s
|-
|32
|19L 13s
|-
|33
|16L 17s
|-
|34
|13L 21s
|-
|35
|10L 25s
|-
|36
|7L 29s
|-
|37
|4L 33s
|-
|38
|1L 37s
|-
|39
|37L 2s
| rowspan="19" |3:2
|-
|40
|35L 5s
|-
|41
|33L 8s
|-
|42
|31L 11s
|-
|43
|29L 14s
|-
|44
|27L 17s
|-
|45
|25L 20s
|-
|46
|23L 23s
|-
|47
|21L 26s
|-
|48
|19L 29s
|-
|49
|17L 32s
|-
|50
|15L 35s
|-
|51
|13L 38s
|-
|52
|11L 41s
|-
|53
|9L 44s
|-
|54
|7L 47s
|-
|55
|5L 50s
|-
|56
|3L 53s
|-
|57
|1L 56s
|-
|58
|57L 1s
| rowspan="34" |2:1
|-
|59
|56L 3s
|-
|60
|55L 5s
|-
|61
|54L 7s
|-
|62
|53L 9s
|-
|63
|52L 11s
|-
|64
|51L 13s
|-
|65
|50L 15s
|-
|66
|49L 17s
|-
|67
|48L 19s
|-
|68
|47L 21s
|-
|69
|46L 23s
|-
|70
|45L 25s
|-
|71
|44L 27s
|-
|72
|43L 29s
|-
|73
|42L 31s
|-
|74
|41L 33s
|-
|75
|40L 35s
|-
|76
|39L 37s
|-
|77
|38L 39s
|-
|78
|37L 41s
|-
|79
|36L 43s
|-
|80
|35L 45s
|-
|81
|34L 47s
|-
|82
|33L 49s
|-
|83
|32L 51s
|-
|84
|31L 53s
|-
|85
|30L 55s
|-
|86
|29L 57s
|-
|87
|28L 59s
|-
|88
|27L 61s
|-
|89
|26L 63s
|-
|90
|25L 65s
|-
|91
|24L 67s
|}
[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
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