User:Lériendil: Difference between revisions

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|+ style="font-size: 105%;" | Table of 21-[[odd limit]] 7-limit intervals
|+ style="font-size: 105%;" | Table of 21-[[odd limit]] 7-limit intervals
|-
|-
! rowspan="2" | Interval !! rowspan="2" | Just tuning !! colspan="4" | [[EDO]] approximations !! rowspan="2" | Step from previous
! rowspan="2" | Interval !! rowspan="2" | Just tuning !! colspan="5" | [[EDO]] approximations !! rowspan="2" | Step from previous
|-
|-
! 22edo !! 27edo !! 31edo !! 41edo
! 22edo !! 27edo !! 31edo !! 41edo !! 99edo
|-
|-
| [[1/1]] || 0.000 || [[22edo|0\22]] || [[27edo|0\27]] || [[31edo|0\31]] || [[41edo|0\41]] || N/A
| [[1/1]] || 0.000 || [[22edo|0\22]] || [[27edo|0\27]] || [[31edo|0\31]] || [[41edo|0\41]] || [[99edo|0\99]] || N/A
|-
|-
| [[21/20]] || 84.467 || [[22edo|2\22]] || [[27edo|2\27]] || [[31edo|2\31]] || [[41edo|3\41]] || [[21/20]]
| [[21/20]] || 84.467 || [[22edo|2\22]] || [[27edo|2\27]] || [[31edo|2\31]] || [[41edo|3\41]] || [[99edo|7\99]] || [[21/20]]
|-
|-
| [[16/15]] || 111.731 || [[22edo|2\22]] || [[27edo|2\27]] || [[31edo|3\31]] || [[41edo|4\41]] || [[64/63]]
| [[16/15]] || 111.731 || [[22edo|2\22]] || [[27edo|2\27]] || [[31edo|3\31]] || [[41edo|4\41]] || [[99edo|9\99]] || [[64/63]]
|-
|-
| [[15/14]] || 119.443 || [[22edo|2\22]] || [[27edo|3\27]] || [[31edo|3\31]] || [[41edo|4\41]] || [[225/224]]
| [[15/14]] || 119.443 || [[22edo|2\22]] || [[27edo|3\27]] || [[31edo|3\31]] || [[41edo|4\41]] || [[99edo|10\99]] || [[225/224]]
|-
|-
| [[10/9]] || 182.404 || [[22edo|3\22]] || [[27edo|4\27]] || [[31edo|5\31]] || [[41edo|6\41]] || [[28/27]]
| [[10/9]] || 182.404 || [[22edo|3\22]] || [[27edo|4\27]] || [[31edo|5\31]] || [[41edo|6\41]] || [[99edo|15\99]] || [[28/27]]
|-
|-
| [[9/8]] || 203.910 || [[22edo|4\22]] || [[27edo|5\27]] || [[31edo|5\31]] || [[41edo|7\41]] || [[81/80]]
| [[9/8]] || 203.910 || [[22edo|4\22]] || [[27edo|5\27]] || [[31edo|5\31]] || [[41edo|7\41]] || [[99edo|17\99]] || [[81/80]]
|-
|-
| [[8/7]] || 231.174 || [[22edo|4\22]] || [[27edo|5\27]] || [[31edo|6\31]] || [[41edo|8\41]] || [[64/63]]
| [[8/7]] || 231.174 || [[22edo|4\22]] || [[27edo|5\27]] || [[31edo|6\31]] || [[41edo|8\41]] || [[99edo|19\99]] || [[64/63]]
|-
|-
| [[7/6]] || 266.871 || [[22edo|5\22]] || [[27edo|6\27]] || [[31edo|7\31]] || [[41edo|9\41]] || [[49/48]]
| [[7/6]] || 266.871 || [[22edo|5\22]] || [[27edo|6\27]] || [[31edo|7\31]] || [[41edo|9\41]] || [[99edo|22\99]] || [[49/48]]
|-
|-
| [[6/5]] || 315.641 || [[22edo|6\22]] || [[27edo|7\27]] || [[31edo|8\31]] || [[41edo|11\41]] || [[36/35]]
| [[6/5]] || 315.641 || [[22edo|6\22]] || [[27edo|7\27]] || [[31edo|8\31]] || [[41edo|11\41]] || [[99edo|26\99]] || [[36/35]]
|-
|-
| [[5/4]] || 386.314 || [[22edo|7\22]] || [[27edo|9\27]] || [[31edo|10\31]] || [[41edo|13\41]] || [[25/24]]
| [[5/4]] || 386.314 || [[22edo|7\22]] || [[27edo|9\27]] || [[31edo|10\31]] || [[41edo|13\41]] || [[99edo|32\99]] || [[25/24]]
|-
|-
| [[9/7]] || 435.084 || [[22edo|8\22]] || [[27edo|10\27]] || [[31edo|11\31]] || [[41edo|15\41]] || [[36/35]]
| [[9/7]] || 435.084 || [[22edo|8\22]] || [[27edo|10\27]] || [[31edo|11\31]] || [[41edo|15\41]] || [[99edo|36\99]] || [[36/35]]
|-
|-
| [[21/16]] || 470.781 || [[22edo|9\22]] || [[27edo|11\27]] || [[31edo|12\31]] || [[41edo|16\41]] || [[49/48]]
| [[21/16]] || 470.781 || [[22edo|9\22]] || [[27edo|11\27]] || [[31edo|12\31]] || [[41edo|16\41]] || [[99edo|39\99]] || [[49/48]]
|-
|-
| [[4/3]] || 498.045 || [[22edo|9\22]] || [[27edo|11\27]] || [[31edo|13\31]] || [[41edo|17\41]] || [[64/63]]
| [[4/3]] || 498.045 || [[22edo|9\22]] || [[27edo|11\27]] || [[31edo|13\31]] || [[41edo|17\41]] || [[99edo|41\99]] || [[64/63]]
|-
|-
| [[7/5]] || 582.512 || [[22edo|11\22]] || [[27edo|13\27]] || [[31edo|15\31]] || [[41edo|20\41]] || [[21/20]]
| [[7/5]] || 582.512 || [[22edo|11\22]] || [[27edo|13\27]] || [[31edo|15\31]] || [[41edo|20\41]] || [[99edo|48\99]] || [[21/20]]
|-
|-
| [[10/7]] || 617.488 || [[22edo|11\22]] || [[27edo|14\27]] || [[31edo|16\31]] || [[41edo|21\41]] || [[50/49]]
| [[10/7]] || 617.488 || [[22edo|11\22]] || [[27edo|14\27]] || [[31edo|16\31]] || [[41edo|21\41]] || [[99edo|51\99]] || [[50/49]]
|-
|-
| [[3/2]] || 701.955 || [[22edo|13\22]] || [[27edo|16\27]] || [[31edo|18\31]] || [[41edo|24\41]] || [[21/20]]
| [[3/2]] || 701.955 || [[22edo|13\22]] || [[27edo|16\27]] || [[31edo|18\31]] || [[41edo|24\41]] || [[99edo|58\99]] || [[21/20]]
|-
|-
| [[32/21]] || 729.219 || [[22edo|13\22]] || [[27edo|16\27]] || [[31edo|19\31]] || [[41edo|25\41]] || [[64/63]]
| [[32/21]] || 729.219 || [[22edo|13\22]] || [[27edo|16\27]] || [[31edo|19\31]] || [[41edo|25\41]] || [[99edo|60\99]] || [[64/63]]
|-
|-
| [[14/9]] || 764.916 || [[22edo|14\22]] || [[27edo|17\27]] || [[31edo|20\31]] || [[41edo|26\41]] || [[49/48]]
| [[14/9]] || 764.916 || [[22edo|14\22]] || [[27edo|17\27]] || [[31edo|20\31]] || [[41edo|26\41]] || [[99edo|63\99]] || [[49/48]]
|-
|-
| [[8/5]] || 813.686 || [[22edo|15\22]] || [[27edo|18\27]] || [[31edo|21\31]] || [[41edo|28\41]] || [[36/35]]
| [[8/5]] || 813.686 || [[22edo|15\22]] || [[27edo|18\27]] || [[31edo|21\31]] || [[41edo|28\41]] || [[99edo|67\99]] || [[36/35]]
|-
|-
| [[5/3]] || 884.359 || [[22edo|16\22]] || [[27edo|20\27]] || [[31edo|23\31]] || [[41edo|30\41]] || [[25/24]]
| [[5/3]] || 884.359 || [[22edo|16\22]] || [[27edo|20\27]] || [[31edo|23\31]] || [[41edo|30\41]] || [[99edo|73\99]] || [[25/24]]
|-
|-
| [[12/7]] || 933.129 || [[22edo|17\22]] || [[27edo|21\27]] || [[31edo|24\31]] || [[41edo|32\41]] || [[36/35]]
| [[12/7]] || 933.129 || [[22edo|17\22]] || [[27edo|21\27]] || [[31edo|24\31]] || [[41edo|32\41]] || [[99edo|77\99]] || [[36/35]]
|-
|-
| [[7/4]] || 968.826 || [[22edo|18\22]] || [[27edo|22\27]] || [[31edo|25\31]] || [[41edo|33\41]] || [[49/48]]
| [[7/4]] || 968.826 || [[22edo|18\22]] || [[27edo|22\27]] || [[31edo|25\31]] || [[41edo|33\41]] || [[99edo|80\99]] || [[49/48]]
|-
|-
| [[16/9]] || 996.090 || [[22edo|18\22]] || [[27edo|22\27]] || [[31edo|26\31]] || [[41edo|34\41]] || [[64/63]]
| [[16/9]] || 996.090 || [[22edo|18\22]] || [[27edo|22\27]] || [[31edo|26\31]] || [[41edo|34\41]] || [[99edo|82\99]] || [[64/63]]
|-
|-
| [[9/5]] || 1017.596 || [[22edo|19\22]] || [[27edo|23\27]] || [[31edo|26\31]] || [[41edo|35\41]] || [[81/80]]
| [[9/5]] || 1017.596 || [[22edo|19\22]] || [[27edo|23\27]] || [[31edo|26\31]] || [[41edo|35\41]] || [[99edo|84\99]] || [[81/80]]
|-
|-
| [[28/15]] || 1080.557 || [[22edo|20\22]] || [[27edo|24\27]] || [[31edo|28\31]] || [[41edo|37\41]] || [[28/27]]
| [[28/15]] || 1080.557 || [[22edo|20\22]] || [[27edo|24\27]] || [[31edo|28\31]] || [[41edo|37\41]] || [[99edo|89\99]] || [[28/27]]
|-
|-
| [[15/8]] || 1088.269 || [[22edo|20\22]] || [[27edo|25\27]] || [[31edo|28\31]] || [[41edo|37\41]] || [[225/224]]
| [[15/8]] || 1088.269 || [[22edo|20\22]] || [[27edo|25\27]] || [[31edo|28\31]] || [[41edo|37\41]] || [[99edo|90\99]] || [[225/224]]
|-
|-
| [[40/21]] || 1115.533 || [[22edo|20\22]] || [[27edo|25\27]] || [[31edo|29\31]] || [[41edo|38\41]] || [[64/63]]
| [[40/21]] || 1115.533 || [[22edo|20\22]] || [[27edo|25\27]] || [[31edo|29\31]] || [[41edo|38\41]] || [[99edo|92\99]] || [[64/63]]
|-
|-
| [[2/1]] || 1200.000 || [[22edo|22\22]] || [[27edo|27\27]] || [[31edo|31\31]] || [[41edo|41\41]] || [[21/20]]
| [[2/1]] || 1200.000 || [[22edo|22\22]] || [[27edo|27\27]] || [[31edo|31\31]] || [[41edo|41\41]] || [[99edo|99\99]] || [[21/20]]
|}
|}

Revision as of 13:59, 3 February 2025

Table of 21-odd limit 7-limit intervals
Interval Just tuning EDO approximations Step from previous
22edo 27edo 31edo 41edo 99edo
1/1 0.000 0\22 0\27 0\31 0\41 0\99 N/A
21/20 84.467 2\22 2\27 2\31 3\41 7\99 21/20
16/15 111.731 2\22 2\27 3\31 4\41 9\99 64/63
15/14 119.443 2\22 3\27 3\31 4\41 10\99 225/224
10/9 182.404 3\22 4\27 5\31 6\41 15\99 28/27
9/8 203.910 4\22 5\27 5\31 7\41 17\99 81/80
8/7 231.174 4\22 5\27 6\31 8\41 19\99 64/63
7/6 266.871 5\22 6\27 7\31 9\41 22\99 49/48
6/5 315.641 6\22 7\27 8\31 11\41 26\99 36/35
5/4 386.314 7\22 9\27 10\31 13\41 32\99 25/24
9/7 435.084 8\22 10\27 11\31 15\41 36\99 36/35
21/16 470.781 9\22 11\27 12\31 16\41 39\99 49/48
4/3 498.045 9\22 11\27 13\31 17\41 41\99 64/63
7/5 582.512 11\22 13\27 15\31 20\41 48\99 21/20
10/7 617.488 11\22 14\27 16\31 21\41 51\99 50/49
3/2 701.955 13\22 16\27 18\31 24\41 58\99 21/20
32/21 729.219 13\22 16\27 19\31 25\41 60\99 64/63
14/9 764.916 14\22 17\27 20\31 26\41 63\99 49/48
8/5 813.686 15\22 18\27 21\31 28\41 67\99 36/35
5/3 884.359 16\22 20\27 23\31 30\41 73\99 25/24
12/7 933.129 17\22 21\27 24\31 32\41 77\99 36/35
7/4 968.826 18\22 22\27 25\31 33\41 80\99 49/48
16/9 996.090 18\22 22\27 26\31 34\41 82\99 64/63
9/5 1017.596 19\22 23\27 26\31 35\41 84\99 81/80
28/15 1080.557 20\22 24\27 28\31 37\41 89\99 28/27
15/8 1088.269 20\22 25\27 28\31 37\41 90\99 225/224
40/21 1115.533 20\22 25\27 29\31 38\41 92\99 64/63
2/1 1200.000 22\22 27\27 31\31 41\41 99\99 21/20
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