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BudjarnLambeth/Table of n-comma meantone generators
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Revision as of 18:00, 1 March 2024 by
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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
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
3/4-comma meantone
685.825
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
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
7/15-comma meantone
691.919
6/13-comma meantone
692.029
5/11-comma meantone
692.179
4/9-comma meantone
692.397
7/16-comma meantone
692.546
3/7-comma meantone
692.738
5/12-comma meantone
692.994
2/5-comma meantone
693.352
5/13-comma meantone
693.683
3/8-comma meantone
693.89
4/11-comma meantone
694.134
5/14-comma meantone
694.274
1/3-comma meantone
694.786
5/16-comma meantone
695.234
4/13-comma meantone
695.338
3/10-comma meantone
695.503
2/7-comma meantone
695.81
3/11-comma meantone
696.09
4/15-comma meantone
696.22
1/4-comma meantone
696.578
3/13-comma meantone
696.992
2/9-comma meantone
697.176
3/14-comma meantone
697.346
1/5-comma meantone
697.654
3/16-comma meantone
697.923
2/11-comma meantone
698.045
1/6-comma meantone
698.371
2/13-comma meantone
698.646
1/7-comma meantone
698.883
2/15-comma meantone
699.088
1/8-comma meantone
699.267
1/9-comma meantone
699.565
1/10-comma meantone
699.804
1/11-comma meantone
700.000
12edo
700.000
Everything from this point onwards does not generate a 19-tone MOS scale, but everything before this point does
1/12-comma meantone
700.163
1/13-comma meantone
700.301
1/14-comma meantone
700.419
1/15-comma meantone
700.521
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)