30edo: Difference between revisions

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Intervals: add ratios table
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== Intervals ==
== Intervals ==
Inconsistent intervals are in ''italics''.
{| class="wikitable right-1 right-2"
|-
! rowspan="2" | Step
! rowspan="2" | Cents
! colspan="3" | Approximate ratios
|-
! 2.9.15.7.11.13 subgroup
! Ratios of 3 and 5<br>tending sharp
! Ratios of 3 and 5<br>tending flat
|-
| 0
| 0
| colspan="3" | [[1/1]]
|-
| 1
| 40
| [[40/39]]
|
| ''[[25/24]]'', [[36/35]], [[49/48]]
|-
| 2
| 80
| [[21/20]]
| ''[[16/15]]'', [[25/24]], ''[[36/35]]''
| ''[[15/14]]''
|-
| 3
| 120
| [[14/13]], [[15/14]], [[16/15]]
| [[13/12]]
| ''[[12/11]]''
|-
| 4
| 160
|
| ''[[10/9]]'', [[11/10]], [[12/11]], ''[[15/14]]''
| ''[[9/8]]'', ''[[13/12]]'', ''[[16/15]]''
|-
| 5
| 200
| [[9/8]]
|
| [[10/9]], ''[[11/10]]'', ''[[15/13]]''
|-
| 6
| 240
| [[8/7]], [[15/13]]
| ''[[7/6]]'', ''[[9/8]]''
|
|-
| 7
| 280
| [[13/11]]
| ''[[15/13]]''
| [[7/6]]
|-
| 8
| 320
| [[6/5]]
| [[6/5]], ''[[11/9]]''
| [[6/5]]
|-
| 9
| 360
| [[16/13]], [[11/9]]
|
| ''[[5/4]]''
|-
| 10
| 400
| [[14/11]]
| [[5/4]]
| ''[[11/9]]'', ''[[9/7]]''
|-
| 11
| 440
| [[9/7]], [[32/25]]
| [[13/10]]
|
|-
| 12
| 480
|
| ''[[9/7]]'', [[4/3]]
| ''[[13/10]]'', ''[[15/11]]''
|-
| 13
| 520
| [[27/20]], [[15/11]]
|
| ''[[4/3]]'', ''[[18/13]]''
|-
| 14
| 560
| [[11/8]], [[18/13]], [[25/18]]
| ''[[7/5]]'', ''[[15/11]]''
|
|-
| 15
| 600
|
| ''[[13/9]]'', ''[[18/13]]''
| [[7/5]], [[10/7]]
|-
| 16
| 640
| [[16/11]], [[13/9]], [[36/25]]
| ''[[10/7]]'', ''[[22/15]]''
|
|-
| 17
| 680
| [[40/27]], [[22/15]]
|
| ''[[3/2]]'', ''[[13/9]]''
|-
| 18
| 720
|
| ''[[14/9]]'', [[3/2]]
| ''[[20/13]]'', ''[[22/15]]''
|-
| 19
| 760
| [[14/9]], [[25/16]]
| [[20/13]]
|
|-
| 20
| 800
| [[11/7]]
| [[8/5]]
| ''[[14/9]]'', ''[[18/11]]''
|-
| 21
| 840
| [[13/8]], [[18/11]]
|
| ''[[8/5]]''
|-
| 22
| 880
| [[5/3]]
| [[5/3]], ''[[18/11]]''
| [[5/3]]
|-
| 23
| 920
| [[22/13]]
| ''[[26/15]]''
| [[12/7]]
|-
| 24
| 960
| [[7/4]], [[26/15]]
| ''[[12/7]]'', ''[[16/9]]''
|
|-
| 25
| 1000
| [[16/9]]
|
| [[9/5]], ''[[20/11]]'', ''[[26/15]]''
|-
| 26
| 1040
|
| ''[[9/5]]'', [[20/11]], [[11/6]], ''[[28/15]]''
| ''[[16/9]]'', ''[[24/13]]'', ''[[15/8]]''
|-
| 27
| 1080
| [[13/7]], [[28/15]], [[15/8]]
| [[24/13]]
| ''[[11/6]]''
|-
| 28
| 1120
| [[40/21]]
| ''[[15/8]]'', [[48/25]], ''[[35/18]]''
| ''[[28/15]]''
|-
| 29
| 1160
| [[39/20]]
|
| ''[[48/25]]'', [[35/18]], [[96/49]]
|-
| 30
| 1200
| colspan="3" | [[2/1]]
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ style="font-size: 105%" | Notation systems for 30edo
|-
|-
! Step
! Step