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

Also included are 7, 12, 17 and 5 [[edo]]s (to delineate [[MOS]] shapes), as well as the other tunings listed under "[[historical temperaments]]" (e.g. 4/25-comma), ''but only the ones of the form "n-comma"''.

|[[15/16-comma meantone]]||681.793||  

|[[14/15-comma meantone]]||681.883||Close to [[44edo]]

|[[12/11-comma meantone]]||682.404||Close to [[51edo]]

|[[5/6-comma meantone]]||684.033||  

|[[10/13-comma meantone]]||685.412||Everything up to this point generates 9 and 16 tone MOS scales.

|[[9/14-comma meantone]]||688.129||Close to [[75edo]]

|[[8/13-comma meantone]]||688.720||Close to [[54edo]]

|[[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]]||696.220||Close to [[81edo]], close to [[golden meantone]]

|[[Quarter-comma 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 [[7-limit|septimal]] & [[tridecimal]] meantone [[CTE]] tunings.

|[[2/9-comma meantone]]||697.176||Close to [[5-limit]] and [[undecimal]] meantone 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 to [[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.

|[[12edo]]||700.000||The largest MOS scale this can generate is 12 tone. Historically significant (see [[historical temperaments]].)

|[[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]]. Historically significant (see [[historical temperaments]].)  Everything from this point onwards does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).

|[[-1/18-comma meantone]]

|703.150

|

|[[-1/17-comma meantone]]

|703.220

|[[-1/16-comma meantone]]

|703.299

|[[-1/15-comma meantone]]

|703.389

|[[-1/14-comma meantone]]

|703.491

|Close to [[29edo]].

|[[-1/13-comma meantone]]

|703.609

|[[-1/12-comma meantone]]

|703.747

|[[-1/11-comma meantone]]

|703.910

|[[-1/10-comma meantone]]

|704.105

|[[-1/9-comma meantone]]

|704.344

|Close to [[46edo]], 11/7 quarter-kleisma temperament.

|[[-2/17-comma meantone]]

|704.483

|[[-1/8-comma meantone]]

|704.643

|[[-2/15-comma meantone]]

|704.823

|[[-1/7-comma meantone]]

|705.027

|[[-2/13-comma meantone]]

|705.350

|[[-3/19-comma meantone]]

|705.350

|[[-4/25-comma meantone]]

|705.396

|[[-1/6-comma meantone]]

|705.538

|[[-3/17-comma meantone]]

|705.750

|About as sharp of [[Pythagorean tuning]] as [[55edo]] is flat.

|[[-2/11-comma meantone]]

|705.865

|Everything up to this point generates 17 and 29 tone MOS scales.

|[[17edo]]

|705.882

|[[-3/16-comma meantone]]

|705.987

|[[-1/5-comma meantone]]

|706.256

|[[-3/14-comma meantone]]

|706.563

|[[-2/9-comma meantone]]

|706.734

|[[-3/13-comma meantone]]

|706.918

|[[-4/17-comma meantone]]

|707.015

|[[Negative Quarter-comma meantone]]

|707.332

|[[-4/15-comma meantone]]

|707.690

|About as sharp of [[Pythagorean tuning]] as [[Golden meantone]] is flat.

|[[-7/26-comma meantone]]

|707.745

|[[-3/11-comma meantone]]

|707.820

|[[-5/18-comma meantone]]

|707.930

|[[-2/7-comma meantone]]

|708.100

|

|[[-7/24-comma meantone]]

|708.227

|[[-5/17-comma meantone]]

|708.280

|[[-3/10-comma meantone]]

|708.407

|About sharp of [[Pythagorean tuning]] as [[19edo|Lucy tuning]] is flat. Nearly as sharp of [[Pythagorean tuning]] as [[88edo]] is flat.

|[[-4/13-comma meantone]]

|708.572

|[[-5/16-comma meantone]]

|708.675

|[[-1/3-comma meantone]]

|709.124

|[[-6/17-comma meantone]]

|709.545

|[[-5/14-comma meantone]]

|709.636

|[[-4/11-comma meantone]]

|709.775

|Almost exactly -1/3-''Pythagorean'' comma meantone.

|[[-3/8-comma meantone]]

|710.019

|[[Negative Split Golden ratio comma meantone]]

|710.170

|[[-5/13-comma meantone]]

|710.227

|Close to [[49edo]].

|[[-7/18-comma meantone]]

|710.319

|[[-2/5-comma meantone]]

|710.558

|[[-7/17-comma meantone]]

|710.810

|[[-5/12-comma meantone]]

|710.915

|[[-3/7-comma meantone]]

|711.172

|Close to [[27edo]].

|[[-7/16-comma meantone]]

|711.364

|[[-4/9-comma meantone]]

|711.513

|[[-5/11-comma meantone]]

|711.731

|[[-6/13-comma meantone]]

|711.880

|Close to [[59edo]].

|[[-7/15-comma meantone]]

|711.991

|[[-8/17-comma meantone]]

|712.075

|[[-1/2-comma meantone]]

|712.708

|Close to [[32edo]]. Everything from this point onwards does not meet the negative harmonic definition of meantone (the whole tone being between 9/8 and 729/640).