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One can form a 17-tone circle by taking 15 large fifths and 2 small fifths, as above, which gives some nice interval shadings a wee bit different from [[17edo]], but sharing a similar structure.
One can form a 17-tone circle by taking 15 large fifths and 2 small fifths, as above, which gives some nice interval shadings a wee bit different from [[17edo]], but sharing a similar structure.


== Music in 112EDO ==


* [https://soundcloud.com/camtaylor-1/17_112edo-circulating-2371113-floaty-piano-improv Circulating 2.3.7.11.13 Floaty Piano Improv] by [[Cam Taylor]]
Since 112edo has a step of 10.714 cents, it also allows one to use its MOS scales as circulating temperaments.
{| class="wikitable"
|+Circulating temperaments in 112edo
!Tones
!Pattern
!L:s
|-
|5
|[[2L 3s]]
|23:22
|-
|6
|[[4L 2s]]
|19:18
|-
|7
|[[7edo]]
| rowspan="2" |equal
|-
|8
|[[8edo]]
|-
|9
|[[4L 5s]]
|13:12
|-
|10
|[[2L 8s]]
|12:11
|-
|11
|[[2L 9s]]
|11:10
|-
|12
|[[4L 8s]]
|10:9
|-
|13
|[[8L 5s]]
|9:8
|-
|14
|[[14edo]]
|equal
|-
|15
|[[6L 9s]]
|8:7
|-
|16
|[[16edo]]
|equal
|-
|17
|[[10L 7s]]
| rowspan="2" |7:6
|-
|18
|4L 14s
|-
|19
|[[17L 2s]]
| rowspan="4" |6:5
|-
|20
|12L 8s
|-
|21
|7L 14s
|-
|22
|2L 20s
|-
|23
|20L 3s
| rowspan="5" |5:4
|-
|24
|16L 8s
|-
|25
|12L 13s
|-
|26
|8L 18s
|-
|27
|4L 23s
|-
|28
|[[28edo]]
|equal
|-
|29
|25L 4s
| rowspan="9" |4:3
|-
|30
|22L 8s
|-
|31
|19L 12s
|-
|32
|16L 16s
|-
|33
|13L 20s
|-
|34
|10L 24s
|-
|35
|7L 28s
|-
|36
|4L 32s
|-
|37
|1L 36s
|-
|38
|36L 2s
| rowspan="18" |3:2
|-
|39
|34L 5s
|-
|40
|32L 8s
|-
|41
|30L 11s
|-
|42
|28L 14s
|-
|43
|26L 17s
|-
|44
|24L 20s
|-
|45
|22L 23s
|-
|46
|20L 26s
|-
|47
|18L 29s
|-
|48
|16L 32s
|-
|49
|14L 35s
|-
|50
|12L 38s
|-
|51
|10L 41s
|-
|52
|8L 44s
|-
|53
|6L 47s
|-
|54
|4L 50s
|-
|55
|2L 53s
|-
|56
|[[56edo]]
|equal
|-
|57
|55L 2s
| rowspan="33" |2:1
|-
|58
|54L 4s
|-
|59
|53L 6s
|-
|60
|52L 8s
|-
|61
|51L 10s
|-
|62
|50L 12s
|-
|63
|49L 14s
|-
|64
|48L 16s
|-
|65
|47L 18s
|-
|66
|46L 20s
|-
|67
|45L 22s
|-
|68
|44L 24s
|-
|69
|43L 26s
|-
|70
|42L 28s
|-
|71
|41L 30s
|-
|72
|40L 32s
|-
|73
|39L 34s
|-
|74
|38L 36s
|-
|75
|37L 38s
|-
|76
|36L 40s
|-
|77
|35L 42s
|-
|78
|34L 44s
|-
|79
|33L 46s
|-
|80
|32L 48s
|-
|81
|31L 50s
|-
|82
|30L 52s
|-
|83
|29L 54s
|-
|84
|28L 56s
|-
|85
|27L 58s
|-
|86
|26L 60s
|-
|87
|25L 62s
|-
|88
|24L 64s
|-
|89
|23L 66s
|}
 
==Music in 112EDO==
 
*[https://soundcloud.com/camtaylor-1/17_112edo-circulating-2371113-floaty-piano-improv Circulating 2.3.7.11.13 Floaty Piano Improv] by [[Cam Taylor]]


[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:what_is]]
[[Category:what is]]
[[Category:wiki]]
[[Category:wiki]]
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