User:Lériendil/Table of 21-odd-limit 7-limit intervals: Difference between revisions

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| [[1/1]] || 0.000 || [[22edo|0\22]] || [[27edo|0\27]] || [[31edo|0\31]] || [[41edo|0\41]] || [[99edo|0\99]] || N/A
| [[1/1]] || 0.000 || [[22edo|0\22]] || [[27edo|0\27]] || [[31edo|0\31]] || [[41edo|0\41]] || [[99edo|0\99]] || N/A
|- style="background-color: #BFEFFF;"
|- style="background-color: #BFEFFF;"
| [[21/20]] || 84.467 || [[22edo|2\22]] (+24.6c) || [[27edo|2\27]] (+4.4c) || [[31edo|2\31]] (-7.0c) || [[41edo|3\41]] || [[99edo|7\99]] || [[21/20]]
| [[21/20]] || 84.467 || [[22edo|2\22]] (+24.6c) || [[27edo|2\27]] (+4.4c) || [[31edo|2\31]] (-7.0c) || [[41edo|3\41]] (+3.3c) || [[99edo|7\99]] (+0.4c) || style="background-color: #FFFFFF;"| [[21/20]]
|- style="background-color: #BFFFBF;"
|- style="background-color: #BFFFBF;"
| [[16/15]] || 111.731 || [[22edo|2\22]] (-2.6c) || [[27edo|2\27]] (-22.8c) || [[31edo|3\31]] (+4.4c) || [[41edo|4\41]] || [[99edo|9\99]] (-2.6c) || [[64/63]]
| [[16/15]] || 111.731 || [[22edo|2\22]] (-2.6c) || [[27edo|2\27]] (-22.8c) || [[31edo|3\31]] (+4.4c) || [[41edo|4\41]] (+5.3c) || [[99edo|9\99]] (-2.6c) || style="background-color: #FFFFFF;"| [[64/63]]
|- style="background-color: #FFE7BF;"
|- style="background-color: #FFE7BF;"
| [[15/14]] || 119.443 || [[22edo|2\22]] (-10.4c) || [[27edo|3\27]] (+13.9c) || [[31edo|3\31]] (-3.3c) || [[41edo|4\41]] || [[99edo|10\99]] || [[225/224]]
| [[15/14]] || 119.443 || [[22edo|2\22]] (-10.4c) || [[27edo|3\27]] (+13.9c) || [[31edo|3\31]] (-3.3c) || [[41edo|4\41]] (-2.4c) || [[99edo|10\99]] (+1.8c) || style="background-color: #FFFFFF;"| [[225/224]]
|- style="background-color: #FFFFBF;"
|- style="background-color: #FFFFBF;"
| [[10/9]] || 182.404 || [[22edo|3\22]] (-18.8c) || [[27edo|4\27]] (-4.6c) || [[31edo|5\31]] (+11.1c) || [[41edo|6\41]] || [[99edo|15\99]] || [[28/27]]
| [[10/9]] || 182.404 || [[22edo|3\22]] (-18.8c) || [[27edo|4\27]] (-4.6c) || [[31edo|5\31]] (+11.1c) || [[41edo|6\41]] (-6.8c) || [[99edo|15\99]] (-0.6c) || style="background-color: #FFFFFF;"| [[28/27]]
|- style="background-color: #FFFFFF;"
|- style="background-color: #FFFFFF;"
| [[9/8]] || 203.910 || [[22edo|4\22]] (+14.3c) || [[27edo|5\27]] (+18.3c) || [[31edo|5\31]] (-10.4c) || [[41edo|7\41]] || [[99edo|17\99]] || [[81/80]]
| [[9/8]] || 203.910 || [[22edo|4\22]] (+14.3c) || [[27edo|5\27]] (+18.3c) || [[31edo|5\31]] (-10.4c) || [[41edo|7\41]] (+1.0c) || [[99edo|17\99]] (+2.2c) || style="background-color: #FFFFFF;"| [[81/80]]
|- style="background-color: #FFBFBF;"
|- style="background-color: #FFBFBF;"
| [[8/7]] || 231.174 || [[22edo|4\22]] (-13.0c) || [[27edo|5\27]] (-9.0c) || [[31edo|6\31]] (+1.1c) || [[41edo|8\41]] || [[99edo|19\99]] || [[64/63]]
| [[8/7]] || 231.174 || [[22edo|4\22]] (-13.0c) || [[27edo|5\27]] (-9.0c) || [[31edo|6\31]] (+1.1c) || [[41edo|8\41]] (+3.0c) || [[99edo|19\99]] (-0.9c) || style="background-color: #FFFFFF;"| [[64/63]]
|- style="background-color: #BFBFFF;"
|- style="background-color: #BFBFFF;"
| [[7/6]] || 266.871 || [[22edo|5\22]] (+5.9c) || [[27edo|6\27]] (-0.2c) || [[31edo|7\31]] (+4.1c) || [[41edo|9\41]] || [[99edo|22\99]] (-0.2c) || [[49/48]]
| [[7/6]] || 266.871 || [[22edo|5\22]] (+5.9c) || [[27edo|6\27]] (-0.2c) || [[31edo|7\31]] (+4.1c) || [[41edo|9\41]] (-3.5c) || [[99edo|22\99]] (-0.2c) || style="background-color: #FFFFFF;"| [[49/48]]
|- style="background-color: #BFFFBF;"
|- style="background-color: #BFFFBF;"
| [[6/5]] || 315.641 || [[22edo|6\22]] (+11.6c) || [[27edo|7\27]] (-4.5c) || [[31edo|8\31]] (-6.0c) || [[41edo|11\41]] || [[99edo|26\99]] || [[36/35]]
| [[6/5]] || 315.641 || [[22edo|6\22]] (+11.6c) || [[27edo|7\27]] (-4.5c) || [[31edo|8\31]] (-6.0c) || [[41edo|11\41]] (+6.3c) || [[99edo|26\99]] (-0.5c) || style="background-color: #FFFFFF;"| [[36/35]]
|- style="background-color: #FFFFBF;"
|- style="background-color: #FFFFBF;"
| [[5/4]] || 386.314 || [[22edo|7\22]] (-4.5c) || [[27edo|9\27]] (+13.7c) || [[31edo|10\31]] (+0.8c) || [[41edo|13\41]] || [[99edo|32\99]] || [[25/24]]
| [[5/4]] || 386.314 || [[22edo|7\22]] (-4.5c) || [[27edo|9\27]] (+13.7c) || [[31edo|10\31]] (+0.8c) || [[41edo|13\41]] (-5.8c) || [[99edo|32\99]] (+1.6c) || style="background-color: #FFFFFF;"| [[25/24]]
|- style="background-color: #FFBFBF;"
|- style="background-color: #FFBFBF;"
| [[9/7]] || 435.084 || [[22edo|8\22]] (+1.3c) || [[27edo|10\27]] (+9.4c) || [[31edo|11\31]] (-9.3c) || [[41edo|15\41]] || [[99edo|36\99]] (+1.3c) || [[36/35]]
| [[9/7]] || 435.084 || [[22edo|8\22]] (+1.3c) || [[27edo|10\27]] (+9.4c) || [[31edo|11\31]] (-9.3c) || [[41edo|15\41]] (+3.9c) || [[99edo|36\99]] (+1.3c) || style="background-color: #FFFFFF;"| [[36/35]]
|- style="background-color: #BFBFFF;"
|- style="background-color: #BFBFFF;"
| [[21/16]] || 470.781 || [[22edo|9\22]] (+20.1c) || [[27edo|11\27]] (+18.1c) || [[31edo|12\31]] (-6.3c) || [[41edo|16\41]] || [[99edo|39\99]] || [[49/48]]
| [[21/16]] || 470.781 || [[22edo|9\22]] (+20.1c) || [[27edo|11\27]] (+18.1c) || [[31edo|12\31]] (-6.3c) || [[41edo|16\41]] (-2.5c) || [[99edo|39\99]] (+1.9c) || style="background-color: #FFFFFF;"| [[49/48]]
|- style="background-color: #FFFFFF;"
|- style="background-color: #FFFFFF;"
| [[4/3]] || 498.045 || [[22edo|9\22]] (-7.1c) || [[27edo|11\27]] (-9.2c) || [[31edo|13\31]] (+5.2c) || [[41edo|17\41]] || [[99edo|41\99]] || [[64/63]]
| [[4/3]] || 498.045 || [[22edo|9\22]] (-7.1c) || [[27edo|11\27]] (-9.2c) || [[31edo|13\31]] (+5.2c) || [[41edo|17\41]] (-0.5c) || [[99edo|41\99]] (-1.1c) || style="background-color: #FFFFFF;"| [[64/63]]
|- style="background-color: #BFEFFF;"
|- style="background-color: #BFEFFF;"
| [[7/5]] || 582.512 || [[22edo|11\22]] (+17.5c) || [[27edo|13\27]] (-4.7c) || [[31edo|15\31]] (-1.9c) || [[41edo|20\41]] || [[99edo|48\99]] || [[21/20]]
| [[7/5]] || 582.512 || [[22edo|11\22]] (+17.5c) || [[27edo|13\27]] (-4.7c) || [[31edo|15\31]] (-1.9c) || [[41edo|20\41]] (+2.9c) || [[99edo|48\99]] (-0.7c) || style="background-color: #FFFFFF;"| [[21/20]]
|- style="background-color: #FFE7BF;"
|- style="background-color: #FFE7BF;"
| [[10/7]] || 617.488 || [[22edo|11\22]] (-17.5c) || [[27edo|14\27]] (+4.7c) || [[31edo|16\31]] (+1.9c) || [[41edo|21\41]] || [[99edo|51\99]] || [[50/49]]
| [[10/7]] || 617.488 || [[22edo|11\22]] (-17.5c) || [[27edo|14\27]] (+4.7c) || [[31edo|16\31]] (+1.9c) || [[41edo|21\41]] (-2.9c) || [[99edo|51\99]] (+0.7c) || style="background-color: #FFFFFF;"| [[50/49]]
|- style="background-color: #FFFFFF;"
|- style="background-color: #FFFFFF;"
| [[3/2]] || 701.955 || [[22edo|13\22]] (+7.1c) || [[27edo|16\27]] (+9.2c) || [[31edo|18\31]] (-5.2c) || [[41edo|24\41]] || [[99edo|58\99]] || [[21/20]]
| [[3/2]] || 701.955 || [[22edo|13\22]] (+7.1c) || [[27edo|16\27]] (+9.2c) || [[31edo|18\31]] (-5.2c) || [[41edo|24\41]] (+0.5c) || [[99edo|58\99]] (+1.1c) || style="background-color: #FFFFFF;"| [[21/20]]
|- style="background-color: #FFBFBF;"
|- style="background-color: #FFBFBF;"
| [[32/21]] || 729.219 || [[22edo|13\22]] (-20.1c) || [[27edo|16\27]] (-18.1c) || [[31edo|19\31]] (+6.3c) || [[41edo|25\41]] || [[99edo|60\99]] || [[64/63]]
| [[32/21]] || 729.219 || [[22edo|13\22]] (-20.1c) || [[27edo|16\27]] (-18.1c) || [[31edo|19\31]] (+6.3c) || [[41edo|25\41]] (+2.5c) || [[99edo|60\99]] (-1.9c) || style="background-color: #FFFFFF;"| [[64/63]]
|- style="background-color: #BFBFFF;"
|- style="background-color: #BFBFFF;"
| [[14/9]] || 764.916 || [[22edo|14\22]] (-1.3c) || [[27edo|17\27]] (-9.4c) || [[31edo|20\31]] (+9.3c) || [[41edo|26\41]] || [[99edo|63\99]] (-1.3c) || [[49/48]]
| [[14/9]] || 764.916 || [[22edo|14\22]] (-1.3c) || [[27edo|17\27]] (-9.4c) || [[31edo|20\31]] (+9.3c) || [[41edo|26\41]] (-3.9c) || [[99edo|63\99]] (-1.3c) || style="background-color: #FFFFFF;"| [[49/48]]
|- style="background-color: #BFFFBF;"
|- style="background-color: #BFFFBF;"
| [[8/5]] || 813.686 || [[22edo|15\22]] (+4.5c) || [[27edo|18\27]] (-13.7c) || [[31edo|21\31]] (-0.8c) || [[41edo|28\41]] || [[99edo|67\99]] || [[36/35]]
| [[8/5]] || 813.686 || [[22edo|15\22]] (+4.5c) || [[27edo|18\27]] (-13.7c) || [[31edo|21\31]] (-0.8c) || [[41edo|28\41]] (+5.8c) || [[99edo|67\99]] (-1.6c) || style="background-color: #FFFFFF;"| [[36/35]]
|- style="background-color: #FFFFBF;"
|- style="background-color: #FFFFBF;"
| [[5/3]] || 884.359 || [[22edo|16\22]] (-11.6c) || [[27edo|20\27]] (+4.5c) || [[31edo|23\31]] (+6.0c) || [[41edo|30\41]] || [[99edo|73\99]] || [[25/24]]
| [[5/3]] || 884.359 || [[22edo|16\22]] (-11.6c) || [[27edo|20\27]] (+4.5c) || [[31edo|23\31]] (+6.0c) || [[41edo|30\41]] (-6.3c) || [[99edo|73\99]] (+0.5c) || style="background-color: #FFFFFF;"| [[25/24]]
|- style="background-color: #FFBFBF;"
|- style="background-color: #FFBFBF;"
| [[12/7]] || 933.129 || [[22edo|17\22]] (-5.9c) || [[27edo|21\27]] (+0.2c) || [[31edo|24\31]] (-4.1c) || [[41edo|32\41]] || [[99edo|77\99]] (+0.2c) || [[36/35]]
| [[12/7]] || 933.129 || [[22edo|17\22]] (-5.9c) || [[27edo|21\27]] (+0.2c) || [[31edo|24\31]] (-4.1c) || [[41edo|32\41]] (+3.5c) || [[99edo|77\99]] (+0.2c) || style="background-color: #FFFFFF;"| [[36/35]]
|- style="background-color: #BFBFFF;"
|- style="background-color: #BFBFFF;"
| [[7/4]] || 968.826 || [[22edo|18\22]] (+13.0c) || [[27edo|22\27]] (+9.0c) || [[31edo|25\31]] (-1.1c) || [[41edo|33\41]] || [[99edo|80\99]] || [[49/48]]
| [[7/4]] || 968.826 || [[22edo|18\22]] (+13.0c) || [[27edo|22\27]] (+9.0c) || [[31edo|25\31]] (-1.1c) || [[41edo|33\41]] (-3.0c) || [[99edo|80\99]] (+0.9c) || style="background-color: #FFFFFF;"| [[49/48]]
|- style="background-color: #FFFFFF;"
|- style="background-color: #FFFFFF;"
| [[16/9]] || 996.090 || [[22edo|18\22]] (-14.3c) || [[27edo|22\27]] (-18.3c) || [[31edo|26\31]] (+10.4c) || [[41edo|34\41]] || [[99edo|82\99]] || [[64/63]]
| [[16/9]] || 996.090 || [[22edo|18\22]] (-14.3c) || [[27edo|22\27]] (-18.3c) || [[31edo|26\31]] (+10.4c) || [[41edo|34\41]] (-1.0c) || [[99edo|82\99]] (-2.2c) || style="background-color: #FFFFFF;"| [[64/63]]
|- style="background-color: #BFFFBF;"
|- style="background-color: #BFFFBF;"
| [[9/5]] || 1017.596 || [[22edo|19\22]] (+18.8c) || [[27edo|23\27]] (+4.6c) || [[31edo|26\31]] (-11.1c) || [[41edo|35\41]] || [[99edo|84\99]] || [[81/80]]
| [[9/5]] || 1017.596 || [[22edo|19\22]] (+18.8c) || [[27edo|23\27]] (+4.6c) || [[31edo|26\31]] (-11.1c) || [[41edo|35\41]] (+6.8c) || [[99edo|84\99]] (+0.6c) || style="background-color: #FFFFFF;"| [[81/80]]
|- style="background-color: #BFEFFF;"
|- style="background-color: #BFEFFF;"
| [[28/15]] || 1080.557 || [[22edo|20\22]] (+10.4c) || [[27edo|24\27]] (-13.9c) || [[31edo|28\31]] (+3.3c) || [[41edo|37\41]] || [[99edo|89\99]] || [[28/27]]
| [[28/15]] || 1080.557 || [[22edo|20\22]] (+10.4c) || [[27edo|24\27]] (-13.9c) || [[31edo|28\31]] (+3.3c) || [[41edo|37\41]] (+2.4c) || [[99edo|89\99]] (-1.8c) || style="background-color: #FFFFFF;"| [[28/27]]
|- style="background-color: #FFFFBF;"
|- style="background-color: #FFFFBF;"
| [[15/8]] || 1088.269 || [[22edo|20\22]] (+2.6c) || [[27edo|25\27]] (+22.8c) || [[31edo|28\31]] (-4.4c) || [[41edo|37\41]] || [[99edo|90\99]] (+2.6c) || [[225/224]]
| [[15/8]] || 1088.269 || [[22edo|20\22]] (+2.6c) || [[27edo|25\27]] (+22.8c) || [[31edo|28\31]] (-4.4c) || [[41edo|37\41]] (-5.3c) || [[99edo|90\99]] (+2.6c) || style="background-color: #FFFFFF;"| [[225/224]]
|- style="background-color: #FFE7BF;"
|- style="background-color: #FFE7BF;"
| [[40/21]] || 1115.533 || [[22edo|20\22]] (-24.6c) || [[27edo|25\27]] (-4.4c) || [[31edo|29\31]] (+7.0c) || [[41edo|38\41]] || [[99edo|92\99]] || [[64/63]]
| [[40/21]] || 1115.533 || [[22edo|20\22]] (-24.6c) || [[27edo|25\27]] (-4.4c) || [[31edo|29\31]] (+7.0c) || [[41edo|38\41]] (-3.3c) || [[99edo|92\99]] (-0.4c) || style="background-color: #FFFFFF;"| [[64/63]]
|- style="background-color: #FFFFFF;"
|- style="background-color: #FFFFFF;"
| [[2/1]] || 1200.000 || [[22edo|22\22]] || [[27edo|27\27]] || [[31edo|31\31]] || [[41edo|41\41]] || [[99edo|99\99]] || [[21/20]]
| [[2/1]] || 1200.000 || [[22edo|22\22]] || [[27edo|27\27]] || [[31edo|31\31]] || [[41edo|41\41]] || [[99edo|99\99]] || [[21/20]]
|}
|}

Latest revision as of 13:42, 4 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 (+24.6c) 2\27 (+4.4c) 2\31 (-7.0c) 3\41 (+3.3c) 7\99 (+0.4c) 21/20
16/15 111.731 2\22 (-2.6c) 2\27 (-22.8c) 3\31 (+4.4c) 4\41 (+5.3c) 9\99 (-2.6c) 64/63
15/14 119.443 2\22 (-10.4c) 3\27 (+13.9c) 3\31 (-3.3c) 4\41 (-2.4c) 10\99 (+1.8c) 225/224
10/9 182.404 3\22 (-18.8c) 4\27 (-4.6c) 5\31 (+11.1c) 6\41 (-6.8c) 15\99 (-0.6c) 28/27
9/8 203.910 4\22 (+14.3c) 5\27 (+18.3c) 5\31 (-10.4c) 7\41 (+1.0c) 17\99 (+2.2c) 81/80
8/7 231.174 4\22 (-13.0c) 5\27 (-9.0c) 6\31 (+1.1c) 8\41 (+3.0c) 19\99 (-0.9c) 64/63
7/6 266.871 5\22 (+5.9c) 6\27 (-0.2c) 7\31 (+4.1c) 9\41 (-3.5c) 22\99 (-0.2c) 49/48
6/5 315.641 6\22 (+11.6c) 7\27 (-4.5c) 8\31 (-6.0c) 11\41 (+6.3c) 26\99 (-0.5c) 36/35
5/4 386.314 7\22 (-4.5c) 9\27 (+13.7c) 10\31 (+0.8c) 13\41 (-5.8c) 32\99 (+1.6c) 25/24
9/7 435.084 8\22 (+1.3c) 10\27 (+9.4c) 11\31 (-9.3c) 15\41 (+3.9c) 36\99 (+1.3c) 36/35
21/16 470.781 9\22 (+20.1c) 11\27 (+18.1c) 12\31 (-6.3c) 16\41 (-2.5c) 39\99 (+1.9c) 49/48
4/3 498.045 9\22 (-7.1c) 11\27 (-9.2c) 13\31 (+5.2c) 17\41 (-0.5c) 41\99 (-1.1c) 64/63
7/5 582.512 11\22 (+17.5c) 13\27 (-4.7c) 15\31 (-1.9c) 20\41 (+2.9c) 48\99 (-0.7c) 21/20
10/7 617.488 11\22 (-17.5c) 14\27 (+4.7c) 16\31 (+1.9c) 21\41 (-2.9c) 51\99 (+0.7c) 50/49
3/2 701.955 13\22 (+7.1c) 16\27 (+9.2c) 18\31 (-5.2c) 24\41 (+0.5c) 58\99 (+1.1c) 21/20
32/21 729.219 13\22 (-20.1c) 16\27 (-18.1c) 19\31 (+6.3c) 25\41 (+2.5c) 60\99 (-1.9c) 64/63
14/9 764.916 14\22 (-1.3c) 17\27 (-9.4c) 20\31 (+9.3c) 26\41 (-3.9c) 63\99 (-1.3c) 49/48
8/5 813.686 15\22 (+4.5c) 18\27 (-13.7c) 21\31 (-0.8c) 28\41 (+5.8c) 67\99 (-1.6c) 36/35
5/3 884.359 16\22 (-11.6c) 20\27 (+4.5c) 23\31 (+6.0c) 30\41 (-6.3c) 73\99 (+0.5c) 25/24
12/7 933.129 17\22 (-5.9c) 21\27 (+0.2c) 24\31 (-4.1c) 32\41 (+3.5c) 77\99 (+0.2c) 36/35
7/4 968.826 18\22 (+13.0c) 22\27 (+9.0c) 25\31 (-1.1c) 33\41 (-3.0c) 80\99 (+0.9c) 49/48
16/9 996.090 18\22 (-14.3c) 22\27 (-18.3c) 26\31 (+10.4c) 34\41 (-1.0c) 82\99 (-2.2c) 64/63
9/5 1017.596 19\22 (+18.8c) 23\27 (+4.6c) 26\31 (-11.1c) 35\41 (+6.8c) 84\99 (+0.6c) 81/80
28/15 1080.557 20\22 (+10.4c) 24\27 (-13.9c) 28\31 (+3.3c) 37\41 (+2.4c) 89\99 (-1.8c) 28/27
15/8 1088.269 20\22 (+2.6c) 25\27 (+22.8c) 28\31 (-4.4c) 37\41 (-5.3c) 90\99 (+2.6c) 225/224
40/21 1115.533 20\22 (-24.6c) 25\27 (-4.4c) 29\31 (+7.0c) 38\41 (-3.3c) 92\99 (-0.4c) 64/63
2/1 1200.000 22\22 27\27 31\31 41\41 99\99 21/20
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