User:BudjarnLambeth/Table of n-comma meantone generators

Temperament Generator (cents) Comments
1/1-comma “meantone” (actually mavila) 680.449 Not meantone but included for reference
7edo 685.714 Not meantone. It and anything flatter than it cannot generate a 12-tone MOS.
3/4-comma meantone 685.825 Whole tone is not between 10/9 and 9/8, so whether it counts as meantone is very questionable.
11/15-comma meantone 686.184 Whole tone not between 10/9 and 9/8
8/11-comma meantone 686.314 Whole tone not between 10/9 and 9/8
5/7-comma meantone 686.593 Whole tone not between 10/9 and 9/8
7/10-comma meantone 686.901 Whole tone not between 10/9 and 9/8
9/13-comma meantone 687.066 Whole tone not between 10/9 and 9/8
11/16-comma meantone 687.169 Whole tone not between 10/9 and 9/8
2/3-comma meantone 687.617 Whole tone not between 10/9 and 9/8
9/14-comma meantone 688.129 Whole tone not between 10/9 and 9/8
7/11-comma meantone 688.269 Whole tone not between 10/9 and 9/8
5/8-comma meantone 688.514 Whole tone not between 10/9 and 9/8
8/13-comma meantone 688.72 Whole tone not between 10/9 and 9/8
3/5-comma meantone 689.051 Whole tone not between 10/9 and 9/8
7/12-comma meantone 689.41 Whole tone not between 10/9 and 9/8
4/7-comma meantone 689.666 Whole tone not between 10/9 and 9/8
9/16-comma meantone 689.858 Whole tone not between 10/9 and 9/8
5/9-comma meantone 690.007 Whole tone not between 10/9 and 9/8
6/11-comma meantone 690.224 Whole tone not between 10/9 and 9/8
7/13-comma meantone 690.375 Whole tone not between 10/9 and 9/8
8/15-comma meantone 690.485 Whole tone not between 10/9 and 9/8
1/2-comma meantone 691.202 Whole tone not between 10/9 and 9/8 (it’s exactly 10/9)
7/15-comma meantone 691.919 This is the first tuning on this list which is unambiguously meantone, since the whole tone is between 10/9 and 9/8.
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 Effectively indistinguishable from 12edo. Does not generate a 19-tone MOS scale, so whether it counts as meantone is very questionable.
1/12-comma meantone 700.163 No 19-tone MOS
1/13-comma meantone 700.301 No 19-tone MOS
1/14-comma meantone 700.419 No 19-tone MOS
1/15-comma meantone 700.521 No 19-tone MOS
1/16-comma meantone 700.611 No 19-tone MOS
0/1-comma “meantone” (Pythagorean tuning) 701.955 Not meantone but included for reference. 9/8 is exact. Anything sharper will have whole tones not between 10/9 and 9/8, along with continuing to lack a 19-tone MOS.