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	Close to 33edo. Whole tone not between 10/9 and 9/8
1/2-comma meantone	691.202	Close to 92edo, 59edo. Historically significant (see historical temperaments. Whole tone not between 10/9 and 9/8 (it’s exactly 10/9)
7/15-comma meantone	691.919	Close to 85edo. 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	Close to 26edo
7/16-comma meantone	692.546
3/7-comma meantone	692.738
5/12-comma meantone	692.994	Close to 71edo
2/5-comma meantone	693.352	Close to 45edo
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
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
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	696.09	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).
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.
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
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.