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
|-
|-
|| Interval || Just tuning || [[EDO]] approximations || Step from previous
|| '''Interval''' || '''Just tuning''' || '''[[EDO]] approximations''' || '''Step from previous'''
|-
|-
| 1/1 || 0.000
| [[1/1]] || 0.000 || [[22edo|0\22]], [[31edo|0\31]], [[41edo|0\41]] || N/A
|-
|-
| 16/15
| [[16/15]] || 111.731 || [[22edo|2\22]], [[31edo|3\31]], [[41edo|4\41]] || [[16/15]]
|-
|-
| 10/9
| [[10/9]] || 182.404 || [[22edo|3\22]], [[31edo|5\31]], [[41edo|6\41]] || [[25/24]]
|-
|-
| 9/8 || 203.910
| [[9/8]] || 203.910 || [[22edo|4\22]], [[31edo|5\31]], [[41edo|7\41]] || [[81/80]]
|-
|-
| '''8/7''' || 231.174
| [[8/7]] || 231.174 || [[22edo|4\22]], [[31edo|6\31]], [[41edo|8\41]] || [[64/63]]
|-
|-
| 7/6 || 266.871
| [[7/6]] || 266.871 || [[22edo|5\22]], [[31edo|7\31]], [[41edo|9\41]] || [[49/48]]
|-
|-
| 6/5
| [[6/5]] || 315.641 || [[22edo|6\22]], [[31edo|8\31]], [[41edo|11\41]] || [[36/35]]
|-
|-
| 5/4
| [[5/4]] || 386.314 || [[22edo|7\22]], [[31edo|10\31]], [[41edo|13\41]] || [[25/24]]
|-
|-
| 9/7 || 435.084
| [[9/7]] || 435.084 || [[22edo|8\22]], [[31edo|11\31]], [[41edo|15\41]] || [[36/35]]
|-
|-
| 21/16 || 470.781
| [[21/16]] || 470.781 || [[22edo|9\22]], [[31edo|12\31]], [[41edo|16\41]] || [[49/48]]
|-
|-
| 4/3 || 498.045
| [[4/3]] || 498.045 || [[22edo|9\22]], [[31edo|13\31]], [[41edo|17\41]] || [[64/63]]
|-
|-
| 7/5
| [[7/5]] || 582.512 || [[22edo|11\22]], [[31edo|15\31]], [[41edo|20\41]] || [[21/20]]
|-
|-
| 10/7
| [[10/7]] || 617.488 || [[22edo|11\22]], [[31edo|16\31]], [[41edo|21\41]] || [[50/49]]
|-
|-
| 3/2 || 701.955
| [[3/2]] || 701.955 || [[22edo|13\22]], [[31edo|18\31]], [[41edo|24\41]] || [[21/20]]
|-
|-
| 32/21 || 729.219
| [[32/21]] || 729.219 || [[22edo|13\22]], [[31edo|19\31]], [[41edo|25\41]] || [[64/63]]
|-
|-
| 14/9 || 764.916
| [[14/9]] || 764.916 || [[22edo|14\22]], [[31edo|20\31]], [[41edo|26\41]] || [[49/48]]
|-
|-
| 8/5
| [[8/5]] || 813.686 || [[22edo|15\22]], [[31edo|21\31]], [[41edo|28\41]] || [[36/35]]
|-
|-
| 5/3
| [[5/3]] || 884.359 || [[22edo|16\22]], [[31edo|23\31]], [[41edo|30\41]] || [[25/24]]
|-
|-
| 12/7 || 933.129
| [[12/7]] || 933.129 || [[22edo|17\22]], [[31edo|24\31]], [[41edo|32\41]] || [[36/35]]
|-
|-
| 7/4 || 968.826
| [[7/4]] || 968.826 || [[22edo|18\22]], [[31edo|25\31]], [[41edo|33\41]] || [[49/48]]
|-
|-
| 16/9 || 996.090
| [[16/9]] || 996.090 || [[22edo|18\22]], [[31edo|26\31]], [[41edo|34\41]] || [[64/63]]
|-
|-
| 9/5
| [[9/5]] || 1017.596 || [[22edo|19\22]], [[31edo|26\31]], [[41edo|35\41]] || [[81/80]]
|-
|-
| 15/8
| [[15/8]] || 1088.269 || [[22edo|20\22]], [[31edo|28\31]], [[41edo|37\41]] || [[25/24]]
|-
|-
| 2/1 ||
| [[2/1]] || 1200.000 || [[22edo|22\22]], [[31edo|31\31]], [[41edo|41\41]] || [[16/15]]
|}
|}
16/15 10/9 9/8 8/7 7/6 6/5 5/4 9/7 21/16 4/3 7/5 10/7 3/2 32/21 14/9 8/5 5/3 12/7 7/4 16/9 9/5 15/8

Revision as of 21:53, 23 September 2024

Table of 21-odd limit 7-limit intervals
Interval Just tuning EDO approximations Step from previous
1/1 0.000 0\22, 0\31, 0\41 N/A
16/15 111.731 2\22, 3\31, 4\41 16/15
10/9 182.404 3\22, 5\31, 6\41 25/24
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
15/8 1088.269 20\22, 28\31, 37\41 25/24
2/1 1200.000 22\22, 31\31, 41\41 16/15