| 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
|
| 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 |
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
|
| 1/17-comma meantone |
700.690 |
No 19-tone MOS
|
| 1/18-comma meantone |
700.760 |
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.
|