User:Lériendil: Difference between revisions

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{| class="wikitable center-1 center-2 center-3 center-4"
{| class="wikitable center-all"
|+ 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="3" | [[EDO]] approximations !! rowspan="2" | Step from previous
! rowspan="2" | Interval !! rowspan="2" | Just tuning !! colspan="3" | [[EDO]] approximations !! rowspan="2" | Step from previous
|-
|-
! 22edo !! 31edo !! 31edo
! 22edo !! 31edo !! 41edo
|-
|-
| [[1/1]] || 0.000 || [[22edo|0\22]] || [[31edo|0\31]] || [[41edo|0\41]] || N/A
| [[1/1]] || 0.000 || [[22edo|0\22]] || [[31edo|0\31]] || [[41edo|0\41]] || N/A
|-
|-
| [[21/20]] || 84.467 || [[22edo|2\22]], [[31edo|2\31]], [[41edo|3\41]] || [[21/20]]
| [[21/20]] || 84.467 || [[22edo|2\22]] || [[31edo|2\31]] || [[41edo|3\41]] || [[21/20]]
|-
|-
| [[16/15]] || 111.731 || [[22edo|2\22]], [[31edo|3\31]], [[41edo|4\41]] || [[64/63]]
| [[16/15]] || 111.731 || [[22edo|2\22]] || [[31edo|3\31]] || [[41edo|4\41]] || [[64/63]]
|-
|-
| [[15/14]] || 119.443 || [[22edo|2\22]], [[31edo|3\31]], [[41edo|4\41]] || [[225/224]]
| [[15/14]] || 119.443 || [[22edo|2\22]] || [[31edo|3\31]] || [[41edo|4\41]] || [[225/224]]
|-
|-
| [[10/9]] || 182.404 || [[22edo|3\22]], [[31edo|5\31]], [[41edo|6\41]] || [[28/27]]
| [[10/9]] || 182.404 || [[22edo|3\22]] || [[31edo|5\31]] || [[41edo|6\41]] || [[28/27]]
|-
|-
| [[9/8]] || 203.910 || [[22edo|4\22]], [[31edo|5\31]], [[41edo|7\41]] || [[81/80]]
| [[9/8]] || 203.910 || [[22edo|4\22]] || [[31edo|5\31]] || [[41edo|7\41]] || [[81/80]]
|-
|-
| [[8/7]] || 231.174 || [[22edo|4\22]], [[31edo|6\31]], [[41edo|8\41]] || [[64/63]]
| [[8/7]] || 231.174 || [[22edo|4\22]] || [[31edo|6\31]] || [[41edo|8\41]] || [[64/63]]
|-
|-
| [[7/6]] || 266.871 || [[22edo|5\22]], [[31edo|7\31]], [[41edo|9\41]] || [[49/48]]
| [[7/6]] || 266.871 || [[22edo|5\22]] || [[31edo|7\31]] || [[41edo|9\41]] || [[49/48]]
|-
|-
| [[6/5]] || 315.641 || [[22edo|6\22]], [[31edo|8\31]], [[41edo|11\41]] || [[36/35]]
| [[6/5]] || 315.641 || [[22edo|6\22]] || [[31edo|8\31]] || [[41edo|11\41]] || [[36/35]]
|-
|-
| [[5/4]] || 386.314 || [[22edo|7\22]], [[31edo|10\31]], [[41edo|13\41]] || [[25/24]]
| [[5/4]] || 386.314 || [[22edo|7\22]] || [[31edo|10\31]] || [[41edo|13\41]] || [[25/24]]
|-
|-
| [[9/7]] || 435.084 || [[22edo|8\22]], [[31edo|11\31]], [[41edo|15\41]] || [[36/35]]
| [[9/7]] || 435.084 || [[22edo|8\22]] || [[31edo|11\31]] || [[41edo|15\41]] || [[36/35]]
|-
|-
| [[21/16]] || 470.781 || [[22edo|9\22]], [[31edo|12\31]], [[41edo|16\41]] || [[49/48]]
| [[21/16]] || 470.781 || [[22edo|9\22]] || [[31edo|12\31]] || [[41edo|16\41]] || [[49/48]]
|-
|-
| [[4/3]] || 498.045 || [[22edo|9\22]], [[31edo|13\31]], [[41edo|17\41]] || [[64/63]]
| [[4/3]] || 498.045 || [[22edo|9\22]] || [[31edo|13\31]] || [[41edo|17\41]] || [[64/63]]
|-
|-
| [[7/5]] || 582.512 || [[22edo|11\22]], [[31edo|15\31]], [[41edo|20\41]] || [[21/20]]
| [[7/5]] || 582.512 || [[22edo|11\22]] || [[31edo|15\31]] || [[41edo|20\41]] || [[21/20]]
|-
|-
| [[10/7]] || 617.488 || [[22edo|11\22]], [[31edo|16\31]], [[41edo|21\41]] || [[50/49]]
| [[10/7]] || 617.488 || [[22edo|11\22]] || [[31edo|16\31]] || [[41edo|21\41]] || [[50/49]]
|-
|-
| [[3/2]] || 701.955 || [[22edo|13\22]], [[31edo|18\31]], [[41edo|24\41]] || [[21/20]]
| [[3/2]] || 701.955 || [[22edo|13\22]] || [[31edo|18\31]] || [[41edo|24\41]] || [[21/20]]
|-
|-
| [[32/21]] || 729.219 || [[22edo|13\22]], [[31edo|19\31]], [[41edo|25\41]] || [[64/63]]
| [[32/21]] || 729.219 || [[22edo|13\22]] || [[31edo|19\31]] || [[41edo|25\41]] || [[64/63]]
|-
|-
| [[14/9]] || 764.916 || [[22edo|14\22]], [[31edo|20\31]], [[41edo|26\41]] || [[49/48]]
| [[14/9]] || 764.916 || [[22edo|14\22]] || [[31edo|20\31]] || [[41edo|26\41]] || [[49/48]]
|-
|-
| [[8/5]] || 813.686 || [[22edo|15\22]], [[31edo|21\31]], [[41edo|28\41]] || [[36/35]]
| [[8/5]] || 813.686 || [[22edo|15\22]] || [[31edo|21\31]] || [[41edo|28\41]] || [[36/35]]
|-
|-
| [[5/3]] || 884.359 || [[22edo|16\22]], [[31edo|23\31]], [[41edo|30\41]] || [[25/24]]
| [[5/3]] || 884.359 || [[22edo|16\22]] || [[31edo|23\31]] || [[41edo|30\41]] || [[25/24]]
|-
|-
| [[12/7]] || 933.129 || [[22edo|17\22]], [[31edo|24\31]], [[41edo|32\41]] || [[36/35]]
| [[12/7]] || 933.129 || [[22edo|17\22]] || [[31edo|24\31]] || [[41edo|32\41]] || [[36/35]]
|-
|-
| [[7/4]] || 968.826 || [[22edo|18\22]], [[31edo|25\31]], [[41edo|33\41]] || [[49/48]]
| [[7/4]] || 968.826 || [[22edo|18\22]] || [[31edo|25\31]] || [[41edo|33\41]] || [[49/48]]
|-
|-
| [[16/9]] || 996.090 || [[22edo|18\22]], [[31edo|26\31]], [[41edo|34\41]] || [[64/63]]
| [[16/9]] || 996.090 || [[22edo|18\22]] || [[31edo|26\31]] || [[41edo|34\41]] || [[64/63]]
|-
|-
| [[9/5]] || 1017.596 || [[22edo|19\22]], [[31edo|26\31]], [[41edo|35\41]] || [[81/80]]
| [[9/5]] || 1017.596 || [[22edo|19\22]] || [[31edo|26\31]] || [[41edo|35\41]] || [[81/80]]
|-
|-
| [[28/15]] || 1080.557 || [[22edo|20\22]], [[31edo|28\31]], [[41edo|37\41]] || [[28/27]]
| [[28/15]] || 1080.557 || [[22edo|20\22]] || [[31edo|28\31]] || [[41edo|37\41]] || [[28/27]]
|-
|-
| [[15/8]] || 1088.269 || [[22edo|20\22]], [[31edo|28\31]], [[41edo|37\41]] || [[225/224]]
| [[15/8]] || 1088.269 || [[22edo|20\22]] || [[31edo|28\31]] || [[41edo|37\41]] || [[225/224]]
|-
|-
| [[40/21]] || 1115.533 || [[22edo|20\22]], [[31edo|29\31]], [[41edo|38\41]] || [[64/63]]
| [[40/21]] || 1115.533 || [[22edo|20\22]] || [[31edo|29\31]] || [[41edo|38\41]] || [[64/63]]
|-
|-
| [[2/1]] || 1200.000 || [[22edo|22\22]], [[31edo|31\31]], [[41edo|41\41]] || [[21/20]]
| [[2/1]] || 1200.000 || [[22edo|22\22]] || [[31edo|31\31]] || [[41edo|41\41]] || [[21/20]]
|}
|}

Revision as of 13:50, 3 February 2025

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