30edo: Difference between revisions
m link cents earlier |
→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 | ||