User:BudjarnLambeth/Table of n-comma meantone generators: Difference between revisions

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|[[7/9-comma meantone]]||685.228||  
|[[7/9-comma meantone]]||685.228||  
|-
|-
|[[10/13-comma meantone]]||685.412||  
|[[10/13-comma meantone]]||685.412||Everything up to this point generates 9 and 16 tone MOS scales.
|-
|-
|[[7edo]]||695.714||Everything up to this point does not generate a 12-tone nor 19-tone MOS scale, but everything after this point does
|[[7edo]]||695.714||The largest MOS scale this can generate is 7 tone.
|-
|-
|[[3/4-comma meantone]]||685.825||  
|[[3/4-comma meantone]]||685.825||Everything from this point onwards generates 12 and 19 tone MOS scales.
|-
|-
|[[11/15-comma meantone]]||686.184||  
|[[11/15-comma meantone]]||686.184||
|-
|-
|[[8/11-comma meantone]]||686.314||  
|[[8/11-comma meantone]]||686.314||
|-
|-
|[[5/7-comma meantone]]||686.593||  
|[[5/7-comma meantone]]||686.593||  
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|[[7/13-comma meantone]]||690.375||  
|[[7/13-comma meantone]]||690.375||  
|-
|-
|[[8/15-comma meantone]]||690.485||  
|[[8/15-comma meantone]]||690.485||Close to [[33edo]]
|-
|-
|[[1/2-comma meantone]]||691.202||Everything up to this point does not meet the historical definition of “meantone” (the whole tone being in between 10/9 and 9/8), but everything after this point does
|[[1/2-comma meantone]]||691.202||Close to [[92edo]], [[59edo]]. Historically significant (see [[historical temperaments]]. Everything up to this point does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).
|-
|-
|[[7/15-comma meantone]]||691.919||  
|[[7/15-comma meantone]]||691.919||Close to [[85edo]]
|-
|-
|[[6/13-comma meantone]]||692.029||  
|[[6/13-comma meantone]]||692.029||  
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|[[5/11-comma meantone]]||692.179||  
|[[5/11-comma meantone]]||692.179||  
|-
|-
|[[4/9-comma meantone]]||692.397||  
|[[4/9-comma meantone]]||692.397||Close to [[26edo]]
|-
|-
|[[7/16-comma meantone]]||692.546||  
|[[7/16-comma meantone]]||692.546||  
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|[[3/7-comma meantone]]||692.738||  
|[[3/7-comma meantone]]||692.738||  
|-
|-
|[[5/12-comma meantone]]||692.994||  
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
|-
|-
|[[2/5-comma meantone]]||693.352||  
|[[7/17-comma meantone]]||693.099||
|-
|-
|[[5/13-comma meantone]]||693.683||  
|[[2/5-comma meantone]]||693.352||Close to [[45edo]]
|-
|-
|[[3/8-comma meantone]]||693.89||  
|[[7/18-comma meantone]]||693.591||  
|-
|-
|[[4/11-comma meantone]]||694.134||  
|[[5/13-comma meantone]]||693.683||Close to [[64edo]]
|-
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|-
|[[4/11-comma meantone]]||694.134||Almost exactly 1/3 ''Pythagorean'' comma meantone
|-
|-
|[[5/14-comma meantone]]||694.274||  
|[[5/14-comma meantone]]||694.274||  
|-
|-
|[[1/3-comma meantone]]||694.786||  
|[[6/17-comma meantone]]||694.365||
|-
|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/16-comma meantone]]||695.234||  
|[[5/16-comma meantone]]||695.234||  
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|[[4/13-comma meantone]]||695.338||  
|[[4/13-comma meantone]]||695.338||  
|-
|-
|[[3/10-comma meantone]]||695.503||  
|[[3/10-comma meantone]]||695.503||Close to [[88edo]]
|-
|[[5/17-comma meantone]]||695.630||
|-
|[[2/7-comma meantone]]||695.810||Close to [[69edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[5/18-comma meantone]]||695.981||Close to [[50edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[3/11-comma meantone]]||696.090||Close to [[50edo]]
|-
|-
|[[2/7-comma meantone]]||695.81||  
|[[7/26-comma meantone]]||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/11-comma meantone]]||696.09||  
|[[4/15-comma meantone]]||696.22||Close to [[81edo]], close to [[golden meantone]]
|-
|-
|[[4/15-comma meantone]]||696.22||  
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Close to [[31edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||  
|[[4/17-comma meantone]]||696.895||
|-
|-
|[[3/13-comma meantone]]||696.992||  
|[[3/13-comma meantone]]||696.992||Close to septimal & tridecimal CTE tunings.
|-
|-
|[[2/9-comma meantone]]||697.176||  
|[[2/9-comma meantone]]||697.176||Close to 5-limit and undecimal CTE tunings. Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/14-comma meantone]]||697.346||  
|[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[1/5-comma meantone]]||697.654||  
|[[1/5-comma meantone]]||697.654||Close tp [[43edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/16-comma meantone]]||697.923||  
|[[3/16-comma meantone]]||697.923||  
|-
|-
|[[2/11-comma meantone]]||698.045||  
|[[2/11-comma meantone]]||698.045||Close to [[55edo]]
|-
|[[3/17-comma meantone]]||699.425||
|-
|[[1/6-comma meantone]]||698.371||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[1/6-comma meantone]]||698.371||  
|[[4/25-comma meantone]]||698.514||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/13-comma meantone]]||698.646||  
|[[2/13-comma meantone]]||698.646||  
|-
|-
|[[1/7-comma meantone]]||698.883||  
|[[1/7-comma meantone]]||698.883||Close to [[79edo]], [[91edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/15-comma meantone]]||699.088||  
|[[2/15-comma meantone]]||699.088||  
|-
|-
|[[1/8-comma meantone]]||699.267||  
|[[1/8-comma meantone]]||699.267||  
|-
|[[2/17-comma meantone]]||699.425||
|-
|-
|[[1/9-comma meantone]]||699.565||  
|[[1/9-comma meantone]]||699.565||  
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|[[1/10-comma meantone]]||699.804||  
|[[1/10-comma meantone]]||699.804||  
|-
|-
|[[1/11-comma meantone]]||700.000||
|[[1/11-comma meantone]]||700.000||Everything up to this point generates 12 and 19 tone MOS scales.
|-
|-
|[[12edo]]||700.000||Everything from this point onwards does not generate a 19-tone MOS scale, but everything before this point does
[[12edo]]||700.000||The largest MOS scale this can generate is 12 tone.
|-
|-
|[[1/12-comma meantone]]||700.163||  
|[[1/12-comma meantone]]||700.163||Everything from this point onwards generates 12 and 17 tone MOS scales.
|-
|-
|[[1/13-comma meantone]]||700.301||  
|[[1/13-comma meantone]]||700.301||  
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|[[1/16-comma meantone]]||700.611||  
|[[1/16-comma meantone]]||700.611||  
|-
|-
|0/1-comma meantone ([[Pythagorean tuning]])||701.955||Everything from this point onwards does not meet the historical definition of “meantone” (the whole tone being in between 10/9 and 9/8), but everything before this point does
|[[1/17-comma meantone]]||700.690||
|-
|[[1/18-comma meantone]]||700.760||
|-
|0/1-comma meantone||701.955||[[Pythagorean tuning]]. Everything from this point onwards does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).
|}
|}
[[Category:Tables]][[Category:Meantone]]
[[Category:Tables]][[Category:Meantone]]

Revision as of 18:41, 1 March 2024

12edo||700.000||The largest MOS scale this can generate is 12 tone.
Temperament Generator (cents) Comments
1/1-comma meantone 680.449
15/16-comma meantone 681.793
14/15-comma meantone 681.883
13/14-comma meantone 681.985
12/13-comma meantone 682.103
11/12-comma meantone 682.241
12/11-comma meantone 682.404
9/10-comma meantone 682.599
8/9-comma meantone 682.838
7/8-comma meantone 683.137
13/15-comma meantone 683.316
6/7-comma meantone 683.521
11/13-comma meantone 683.757
5/6-comma meantone 684.033
9/11-comma meantone 684.359
13/16-comma meantone 684.481
4/5-comma meantone 684.75
11/14-comma meantone 685.057
7/9-comma meantone 685.228
10/13-comma meantone 685.412 Everything up to this point generates 9 and 16 tone MOS scales.
7edo 695.714 The largest MOS scale this can generate is 7 tone.
3/4-comma meantone 685.825 Everything from this point onwards generates 12 and 19 tone MOS scales.
11/15-comma meantone 686.184
8/11-comma meantone 686.314
5/7-comma meantone 686.593
7/10-comma meantone 686.901
9/13-comma meantone 687.066
11/16-comma meantone 687.169
2/3-comma meantone 687.617
9/14-comma meantone 688.129
7/11-comma meantone 688.269
5/8-comma meantone 688.514
8/13-comma meantone 688.72
3/5-comma meantone 689.051
7/12-comma meantone 689.41
4/7-comma meantone 689.666
9/16-comma meantone 689.858
5/9-comma meantone 690.007
6/11-comma meantone 690.224
7/13-comma meantone 690.375
8/15-comma meantone 690.485 Close to 33edo
1/2-comma meantone 691.202 Close to 92edo, 59edo. Historically significant (see historical temperaments. Everything up to this point does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).
7/15-comma meantone 691.919 Close to 85edo
6/13-comma meantone 692.029
5/11-comma meantone 692.179
4/9-comma meantone 692.397 Close to 26edo
7/16-comma meantone 692.546
3/7-comma meantone 692.738
5/12-comma meantone 692.994 Close to 71edo
7/17-comma meantone 693.099
2/5-comma meantone 693.352 Close to 45edo
7/18-comma meantone 693.591
5/13-comma meantone 693.683 Close to 64edo
3/8-comma meantone 693.890 Close to 83edo
4/11-comma meantone 694.134 Almost exactly 1/3 Pythagorean comma meantone
5/14-comma meantone 694.274
6/17-comma meantone 694.365
1/3-comma meantone 694.786 Close to 19edo. Historically significant (see historical temperaments).
5/16-comma meantone 695.234
4/13-comma meantone 695.338
3/10-comma meantone 695.503 Close to 88edo
5/17-comma meantone 695.630
2/7-comma meantone 695.810 Close to 69edo. Historically significant (see historical temperaments).
5/18-comma meantone 695.981 Close to 50edo. Historically significant (see historical temperaments).
3/11-comma meantone 696.090 Close to 50edo
7/26-comma meantone 696.165 Close to golden meantone. Historically significant (see historical temperaments).
4/15-comma meantone 696.22 Close to 81edo, close to golden meantone
1/4-comma meantone 696.578 Close to 31edo. Historically significant (see historical temperaments).
4/17-comma meantone 696.895
3/13-comma meantone 696.992 Close to septimal & tridecimal CTE tunings.
2/9-comma meantone 697.176 Close to 5-limit and undecimal CTE tunings. Historically significant (see historical temperaments).
3/14-comma meantone 697.346 Close to 74edo. Historically significant (see historical temperaments).
1/5-comma meantone 697.654 Close tp 43edo. Historically significant (see historical temperaments).
3/16-comma meantone 697.923
2/11-comma meantone 698.045 Close to 55edo
3/17-comma meantone 699.425
1/6-comma meantone 698.371 Close to 67edo. Historically significant (see historical temperaments).
4/25-comma meantone 698.514 Close to 67edo. Historically significant (see historical temperaments).
2/13-comma meantone 698.646
1/7-comma meantone 698.883 Close to 79edo, 91edo. Historically significant (see historical temperaments).
2/15-comma meantone 699.088
1/8-comma meantone 699.267
2/17-comma meantone 699.425
1/9-comma meantone 699.565
1/10-comma meantone 699.804
1/11-comma meantone 700.000 Everything up to this point generates 12 and 19 tone MOS scales.
1/12-comma meantone 700.163 Everything from this point onwards generates 12 and 17 tone MOS scales.
1/13-comma meantone 700.301
1/14-comma meantone 700.419
1/15-comma meantone 700.521
1/16-comma meantone 700.611
1/17-comma meantone 700.690
1/18-comma meantone 700.760
0/1-comma meantone 701.955 Pythagorean tuning. Everything from this point onwards does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).
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