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

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Filled in missing regular meantone tunings and created rows for remaining historical equal temperaments. Created most of “negative harmony” section.
Line 12: Line 12:
|[[1/1-comma meantone]]||680.449||Close to [[30edo]]
|[[1/1-comma meantone]]||680.449||Close to [[30edo]]
|-
|-
|[[15/16-comma meantone]]||681.793||  
|[[17/18-comma meantone]]
|681.644
|
|-
|-
|[[14/15-comma meantone]]||681.883||Close to [[44edo]]
|[[16/17-comma meantone]]
|681.714
|
|-
|-
|[[13/14-comma meantone]]||681.985||  
|[[15/16-comma meantone]]||681.793 ||Close to [[44edo]]
|-
|-
|[[12/13-comma meantone]]||682.103||  
|[[14/15-comma meantone]]||681.883||
|-
|-
|[[11/12-comma meantone]]||682.241||  
|[[13/14-comma meantone]]||681.985||
|-
|-
|[[12/11-comma meantone]]||682.404||Close to [[51edo]]
|[[12/13-comma meantone]]||682.103||
|-
|-
|[[9/10-comma meantone]]||682.599||  
|[[11/12-comma meantone]]||682.241||
|-
|[[10/11-comma meantone]]||682.404||Close to [[51edo]]
|-
|[[9/10-comma meantone]]||682.599||
|-
|-
|[[8/9-comma meantone]]||682.838||Close to [[58edo]]
|[[8/9-comma meantone]]||682.838||Close to [[58edo]]
|-
|-
|[[7/8-comma meantone]]||683.137||Close to [[65edo]]
|[[15/17-comma meantone]]
|682.979
|
|-
|-
|[[13/15-comma meantone]]||683.316||Close to [[72edo]]  
|[[7/8-comma meantone]]||683.137|| Close to [[65edo]]
|-
|[[13/15-comma meantone]]||683.316|| Close to [[72edo]]
|-
|-
|[[6/7-comma meantone]]||683.521||Close to [[79edo]]
|[[6/7-comma meantone]]||683.521||Close to [[79edo]]
Line 36: Line 48:
|[[11/13-comma meantone]]||683.757||Close to [[86edo]]
|[[11/13-comma meantone]]||683.757||Close to [[86edo]]
|-
|-
|[[5/6-comma meantone]]||684.033||  
|[[16/19-comma meantone]]
|683.844
|
|-
|-
|[[9/11-comma meantone]]||684.359||  
|[[21/25-comma meantone]]
|683.890
|
|-
|-
|[[13/16-comma meantone]]||684.481||
|
|683.910
|As flat of [[Pythagorean tuning]] as [[5edo]] is sharp.
|-
|-
|[[4/5-comma meantone]]||684.75||  
|[[5/6-comma meantone]]||684.033||
|-
|-
|[[11/14-comma meantone]]||685.057||  
|[[14/17-comma meantone]]
|684.244
|
|-
|-
|[[7/9-comma meantone]]||685.228||  
|[[9/11-comma meantone]]||684.359||
|-
|-
|[[10/13-comma meantone]]||685.412||Everything up to this point generates 9 and 16 tone MOS scales.
|[[13/16-comma meantone]]||684.481||
|-
|-
|[[7edo]]||685.714||The largest MOS scale this can generate is 7 tone. '''Lower boundary of 5-limit diamond monotone.'''
|[[4/5-comma meantone]]||684.750 ||
|-
|[[11/14-comma meantone]]||685.057||
|-
|[[7/9-comma meantone]]||685.228 ||
|-
|[[10/13-comma meantone]]||685.412 ||
|-
|[[13/17-comma meantone]]
|685.509
|Everything up to this point generates 9 and 16 tone MOS scales.
|-
|[[7edo]]|| 685.714|| The largest MOS scale this can generate is 7 tone. '''Lower boundary of 5-limit diamond monotone.'''
|-
|-
|[[3/4-comma meantone]]||685.825||Everything from this point onwards generates 12 and 19 tone MOS scales.
|[[3/4-comma meantone]]||685.825||Everything from this point onwards generates 12 and 19 tone MOS scales.
|-
|-
|[[11/15-comma meantone]]||686.184||
|[[11/15-comma meantone]]||686.184 ||
|-
|[[19/26-comma meantone]]
|686.239
|
|-
|-
|[[8/11-comma meantone]]||686.314||
|[[8/11-comma meantone]]||686.314||
|-
|-
|[[5/7-comma meantone]]||686.593||  
|[[13/18-comma meantone]]
|686.422
|
|-
|[[5/7-comma meantone]]||686.593||
|-
|-
|[[7/10-comma meantone]]||686.901||  
|[[17/24-comma meantone|17/24- comma meantone]]
|686.721
|
|-
|-
|[[9/13-comma meantone]]||687.066||  
|[[12/17-comma meantone]]
|686.774
|
|-
|-
|[[11/16-comma meantone]]||687.169||  
|[[7/10-comma meantone]]||686.901||
|-
|[[9/13-comma meantone]]||687.066||
|-
|[[11/16-comma meantone]]||687.169||
|-
|-
|[[2/3-comma meantone]]||687.617||Close to [[89edo]]
|[[2/3-comma meantone]]||687.617||Close to [[89edo]]
|-
|-
|[[9/14-comma meantone]]||688.129||Close to [[75edo]]
|[[11/17-comma meantone]]
|688.039
|Close to [[75edo]]
|-
|[[9/14-comma meantone]]|| 688.129||
|-
|-
|[[7/11-comma meantone]]||688.269||Close to [[68edo]]
|[[7/11-comma meantone]]||688.269||Close to [[68edo]]
Line 74: Line 126:
|[[5/8-comma meantone]]||688.514||Close to [[61edo]]
|[[5/8-comma meantone]]||688.514||Close to [[61edo]]
|-
|-
|[[8/13-comma meantone]]||688.720||Close to [[54edo]]
|[[8/13-comma meantone]]||688.720||
|-
|-
|[[3/5-comma meantone]]||689.051||  
|[[11/18-comma meantone]]
|688.812
|Close to [[54edo]]
|-
|-
|[[7/12-comma meantone]]||689.410||Close to [[47edo]]
|[[3/5-comma meantone]]||689.051||
|-
|-
|[[4/7-comma meantone]]||689.666||Close to [[87edo]]
|[[10/17-comma meantone]]
|689.304
|
|-
|-
|[[9/16-comma meantone]]||689.858||  
|[[7/12-comma meantone]]||689.410|| Close to [[47edo]]
|-
|-
|[[5/9-comma meantone]]||690.007||Close to [[40edo]]
|[[4/7-comma meantone]]|| 689.666||Close to [[87edo]]
|-
|-
|[[6/11-comma meantone]]||690.224||  
|[[9/16-comma meantone]]||689.858 ||
|-
|[[5/9-comma meantone]]||690.007 ||Close to [[40edo]]
|-
|[[6/11-comma meantone]]||690.224||
|-
|-
|[[7/13-comma meantone]]||690.375||Close to [[73edo]]
|[[7/13-comma meantone]]||690.375||Close to [[73edo]]
|-
|-
|[[8/15-comma meantone]]||690.485||Close to [[33edo]]
|[[8/15-comma meantone]]||690.485||
|-
|[[9/17-comma meantone]]
|690.569
|Close to [[33edo]]
|-
|[[1/2-comma meantone]]||691.202||Close to [[92edo]]. 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).
|-
|-
|[[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).
|[[8/17-comma meantone]]
|691.834
|Close to [[59edo]].
|-
|-
|[[7/15-comma meantone]]||691.919||Close to [[85edo]]
|[[7/15-comma meantone]]||691.919||Close to [[85edo]]
|-
|-
|[[6/13-comma meantone]]||692.029||  
|[[6/13-comma meantone]]||692.029||
|-
|-
|[[5/11-comma meantone]]||692.179||  
|[[5/11-comma meantone]]||692.179||
|-
|-
|[[4/9-comma meantone]]||692.397||Close to [[26edo]]
|[[26edo]]
|692.308
|The largest MOS scale this can generate is 26 tone.
|-
|-
|[[7/16-comma meantone]]||692.546||  
|[[4/9-comma meantone]]||692.397||
|-
|-
|[[3/7-comma meantone]]||692.738||  
|[[7/16-comma meantone]]||692.546||
|-
|[[3/7-comma meantone]]||692.738||
|-
|-
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
Line 112: Line 184:
|[[2/5-comma meantone]]||693.352||Close to [[45edo]]
|[[2/5-comma meantone]]||693.352||Close to [[45edo]]
|-
|-
|[[7/18-comma meantone]]||693.591||  
|[[7/18-comma meantone]]||693.591||
|-
|-
|[[5/13-comma meantone]]||693.683||Close to [[64edo]]
|[[5/13-comma meantone]]||693.683||Close to [[64edo]]
Line 118: Line 190:
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|-
|-
|[[4/11-comma meantone]]||694.134||Almost exactly 1/3-''Pythagorean'' comma meantone
|[[4/11-comma meantone]]|| 694.134||Almost exactly 1/3-''Pythagorean'' comma meantone
|-
|-
|[[5/14-comma meantone]]||694.274||  
|[[5/14-comma meantone]]||694.274 ||
|-
|-
|[[6/17-comma meantone]]||694.365||
|[[6/17-comma meantone]]||694.365||
|-
|-
|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|[[19edo]]
|694.737
|The largest MOS scale this can generate is 19 tone. Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/16-comma meantone]]||695.234||  
|[[1/3-comma meantone]]||694.786||Historically significant (see [[historical temperaments]]).
|-
|
|694.819
|As flat of [[Pythagorean tuning]] as [[22edo]] is sharp.
|-
|[[5/16-comma meantone]]||695.234 ||
|-
|-
|[[4/13-comma meantone]]||695.338||  
|[[4/13-comma meantone]]||695.338||  
|-
|-
|[[3/10-comma meantone]]||695.503||Close to [[88edo]]
|[[Lucy tuning]]
|695.493
|Historically significant (see [[historical temperaments]]). Close to [[88edo]].
|-
|[[3/10-comma meantone]]||695.503||
|-
|-
|[[5/17-comma meantone]]||695.630||
|[[5/17-comma meantone]]||695.630||
|-
|-
|[[2/7-comma meantone]]||695.810||Close to [[69edo]]. Historically significant (see [[historical temperaments]]).
|[[7/24-comma meantone]]
|695.682
|Close to [[69edo]].
|-
|-
|[[5/18-comma meantone]]||695.981||Close to [[50edo]]. Historically significant (see [[historical temperaments]]).
|[[2/7-comma meantone]]||695.810||Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/11-comma meantone]]||696.090||Close to [[50edo]]
|[[5/18-comma meantone]]||695.981||Historically significant (see [[historical temperaments]]).
|-
|-
|[[7/26-comma meantone]]||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|[[50edo]]
|696.000
|The largest MOS scale this can generate is 50 tone. Historically significant (see [[historical temperaments]]).
|-
|-
|[[4/15-comma meantone]]||696.220||Close to [[81edo]], close to [[golden meantone]]
|[[3/11-comma meantone]]||696.090||Almost exactly 1/4-''Pythagorean'' comma meantone
|-
|-
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Close to [[31edo]]. Historically significant (see [[historical temperaments]]).
|[[7/26-comma meantone]]||696.165||Historically significant (see [[historical temperaments]]).
|-
|[[Golden meantone]]
|696.214
|Historically significant (see [[historical temperaments]]).
|-
|
|696.218
|As flat of [[Pythagorean tuning]] as [[39edo]] is sharp. Negative harmonically significant tuning with flat fifth (see [[negative harmony temperaments]]).
|-
|[[4/15-comma meantone]]||696.220||Close to [[81edo]].
|-
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Historically significant (see [[historical temperaments]]).
|-
|[[31edo]]
|696.774
|The largest MOS scale this can generate is 31 tone. Historically significant (see [[historical temperaments]]).
|-
|-
|[[4/17-comma meantone]]||696.895||
|[[4/17-comma meantone]]||696.895||
Line 152: Line 256:
|[[2/9-comma meantone]]||697.176||Close to 5-limit and undecimal CTE tunings. Historically significant (see [[historical temperaments]]).
|[[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]]).
|[[74edo]]
|697.297
|The largest MOS scale this can generate is 74 tone. Historically significant (see [[historical temperaments]]).
|-
|-
|[[1/5-comma meantone]]||697.654||Close to [[43edo]]. Historically significant (see [[historical temperaments]]).
|[[3/14-comma meantone]]||697.346||Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/16-comma meantone]]||697.923||  
|[[1/5-comma meantone]]||697.654||Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/11-comma meantone]]||698.045||Close to [[55edo]]
|[[43edo]]
|697.654
|The largest MOS scale this can generate is 43 tone. Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/17-comma meantone]]||699.425||
|[[3/16-comma meantone]]||697.923||
|-
|-
|[[1/6-comma meantone]]||698.371||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|
|698.023
|As flat of [[Pythagorean tuning]] as [[17edo]] is sharp.
|-
|[[2/11-comma meantone]]||698.045||
|-
|[[55edo]]
|698.182
|The largest MOS scale this can generate is 55 tone. Historically significant (see [[historical temperaments]]).
|-
|[[3/17-comma meantone]]||698.245||
|-
|[[1/6-comma meantone]]||698.371||Historically significant (see [[historical temperaments]]).
|-
|-
|[[4/25-comma meantone]]||698.514||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||  
|[[3/19-comma meantone]]
|698.559
|
|-
|[[2/13-comma meantone]]||698.646||Close to [[79edo]].
|-
|-
|[[1/7-comma meantone]]||698.883||Close to [[79edo]], [[91edo]]. Historically significant (see [[historical temperaments]]).
|[[1/7-comma meantone]]||698.883||Close to [[91edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/15-comma meantone]]||699.088||  
|[[2/15-comma meantone]]||699.088||
|-
|-
|[[1/8-comma meantone]]||699.267||  
|[[1/8-comma meantone]]||699.267||
|-
|-
|[[2/17-comma meantone]]||699.425||  
|[[2/17-comma meantone]]||699.425||
|-
|-
|[[1/9-comma meantone]]||699.565||  
|[[1/9-comma meantone]]||699.565||
|-
|-
|[[1/10-comma meantone]]||699.804||  
|[[1/10-comma meantone]]||699.804||
|-
|-
|[[1/11-comma meantone]]||700.000||Everything up to this point generates 12 and 19 tone MOS scales.
|[[1/11-comma meantone]]||700.000||Everything up to this point generates 12 and 19 tone MOS scales.
Line 186: Line 310:
|[[1/12-comma meantone]]||700.163||Everything from this point onwards generates 12 and 17 tone MOS scales.
|[[1/12-comma meantone]]||700.163||Everything from this point onwards generates 12 and 17 tone MOS scales.
|-
|-
|[[1/13-comma meantone]]||700.301||  
|[[1/13-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]].) Negative harmonically significant (see [[negative harmony 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).
|-
|[[-1/6-comma meantone]]
|705.027
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|
|705.728
|As sharp of [[Pythagorean tuning]] as [[55edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-3/17-comma meantone]]
|705.750
|Historically significant tuning with sharp fifth (see [[historical temperaments]].
|-
|[[-2/11-comma meantone]]
|705.865
|
|-
|[[17edo]]
|705.882
|Simplest tuning for Middle Eastern neutral third scales. The largest MOS scale this can generate is 17 tone.
|-
|[[-3/16-comma meantone]]
|705.987
|
|-
|
|706.236
|As sharp of [[Pythagorean tuning]] as [[43edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-1/5-comma meantone]]
|706.256
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-3/14-comma meantone]]
|706.563
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|
|706.613
|As sharp of [[Pythagorean tuning]] as [[74edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-2/9-comma meantone]]
|706.734
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-3/13-comma meantone]]
|706.918
|
|-
|[[-4/17-comma meantone]]
|707.015
|
|-
|
|707.136
|As sharp of [[Pythagorean tuning]] as [[74edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[Negative Quarter-comma meantone|-1/4-comma meantone]]
|707.332
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
| -[[4/15-comma meantone]]
|707.690
|
|-
|[[39edo]]
|707.692
|Historically significant tuning with sharp fifth (see [[historical temperaments]].) The largest MOS scale this can generate is 39 tone.
|-
|
|707.696
|As sharp of [[Pythagorean tuning]] as [[50edo|Golden meantone]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-7/26-comma meantone]]
|707.745
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-3/11-comma meantone]]
|707.820
|Almost exactly -1/4-''Pythagorean'' comma meantone
|-
|
|707.910
|As sharp of [[Pythagorean tuning]] as [[50edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-5/18-comma meantone]]
|707.930
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-2/7-comma meantone]]
|708.100
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-7/24-comma meantone]]
|708.227
|
|-
|[[-5/17-comma meantone]]
|708.280
|
|-
|[[-3/10-comma meantone]]
|708.407
|
|-
|
|708.417
|As sharp of [[Pythagorean tuning]] as [[19edo|Lucy tuning]] is flat. Nearly as sharp of [[Pythagorean tuning]] as [[88edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-4/13-comma meantone]]
|708.572
|
|-
|[[-5/16-comma meantone]]
|708.675
|
|-
|[[22edo]]
|709.091
|Isomorphic to [[Indian music|Indian]] shrutis. The largest MOS scale this can generate is 22 tone.
|-
|[[-1/3-comma meantone]]
|709.124
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|
|709.173
|As sharp of [[Pythagorean tuning]] as [[19edo]] is flat. Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-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
|
|-
|[[-5/13-comma meantone]]
|710.227
|Close to [[49edo]].
|-
|[[-7/18-comma meantone]]
|710.319
|
|-
|[[-2/5-comma meantone]]
|710.558
|Negative harmonically significant (see [[negative harmony temperaments]]).
|-
|[[-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
|
|-
|
|711.602
|As sharp of [[Pythagorean tuning]] as [[26edo|19edo]] is flat.
|-
|[[5/11-comma meantone|-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]]. Negative harmonically significant (see [[negative harmony temperaments]]). Everything from this point onwards does not meet the negative harmonic definition of meantone (the whole tone being between 9/8 and 729/640).
|-
| -[[9/17-comma meantone]]
|713.340
|
|-
| -[[-8/15-comma meantone|8/15-comma meantone]]
|713.425
|
|-
|[[-7/13-comma meantone]]
|713.535
|Close to [[37edo]].
|-
|[[-6/11-comma meantone]]
|713.686
|
|-
|[[-5/9-comma meantone]]
|713.903
|
|-
|[[-9/16-comma meantone]]
|714.052
|
|-
|[[-4/7-comma meantone]]
|714.244
|Close to [[42edo]].
|-
|[[-7/12-comma meantone]]
|714.500
|
|-
|[[-10/17-comma meantone]]
|714.606
|
|-
|[[-3/5-comma meantone]]
|714.859
|Close to [[47edo]].
|-
|[[-11/18-comma meantone]]
|715.098
|
|-
|[[-8/13-comma meantone]]
|715.190
|
|-
|[[-5/8-comma meantone]]
|715.396
|Close to [[52edo]].
|-
| -[[-7/11-comma meantone|7/11-comma meantone]]
|715.641
|
|-
|[[-9/14-comma meantone]]
|715.780
|Close to [[57edo]].
|-
|[[-11/17-comma meantone]]
|715.871
|
|-
|[[-2/3-comma meantone]]
|716.293
|Close to [[62edo]].
|-
|[[-15/22 comma meantone]]
|716.618
|Close to [[67edo]].
|-
|[[-13/19 comma meantone]]
|716.669
|Close to [[72edo]].
|-
|[[-11/16-comma meantone]]
|716.741
|
|-
|[[-9/13-comma meantone]]
|716.844
|Close to [[77edo]].
|-
|[[-7/10-comma meantone]]
|717.009
|
|-
|[[12/17-comma meantone|-12/17-comma meantone]]
|717.136
|Close to [[82edo]].
|-
|[[-17/24-comma meantone]]
|717.188
|Close to [[87edo]].
|-
|[[-5/7-comma meantone]]
|717.317
|Close to [[92edo]].
|-
|[[-13/18-comma meantone]]
|717.487
|Close to [[97edo]].
|-
|[[-8/11-comma meantone]]
|717.596
|
|-
|[[19/26-comma meantone|-19/26-comma meantone]]
|717.671
|
|-
|[[11/15-comma meantone|-11/15-comma meantone]]
|717.726
|
|-
|[[-3/4-comma meantone]]
|718.085
|
|-
|
|718.196
|As sharp of [[Pythagorean tuning]] as [[7edo]] is flat.
|-
|[[-13/17-comma meantone]]
|718.401
|
|-
|[[-10/13-comma meantone]]
|718.498
|
|-
|[[-7/9-comma meantone]]
|718.682
|
|-
|[[-11/14-comma meantone]]
|718.853
|
|-
|[[-4/5-comma meantone]]
|719.160
|
|-
|[[-13/16-comma meantone]]
|719.429
|
|-
|[[-9/11-comma meantone]]
|719.551
|
|-
|[[-14/17-comma meantone]]
|719.666
|
|-
|[[-5/6-comma meantone]]
|719.877
|Everything up to this point generates 12 and 17 tone MOS scales.
|-
|[[5edo]]||720.000||The largest MOS scale this can generate is 5 tone. '''Upper boundary of 5-limit diamond monotone.'''
|-
|[[-21/25-comma meantone]]
|720.020
|Everything from this point onwards generates 13 and 18 tone MOS scales.
|-
|[[-16/19-comma meantone]]
|720.066
|
|-
|[[-11/13-comma meantone]]
|720.153
|
|-
|[[-6/7-comma meantone]]
|720.399
|
|-
|[[-13/15-comma meantone]]
|720.594
|
|-
| -[[7/8-comma meantone]]
|720.773
|
|-
|[[-15/17-comma meantone]]
|720.931
|
|-
|[[-8/9-comma meantone]]
|721.017
|
|-
|[[-9/10-comma meantone]]
|721.311
|
|-
|[[-10/11-comma meantone]]
|721.506
|
|-
|[[-11/12-comma meantone]]
|721.669
|
|-
|-
|[[1/14-comma meantone]]||700.419||  
|[[-12/13-comma meantone]]
|721.807
|
|-
|-
|[[1/15-comma meantone]]||700.521||  
|[[-13/14-comma meantone]]
|721.925
|
|-
|-
|[[1/16-comma meantone]]||700.611||  
|[[-14/15-comma meantone]]
|722.028
|
|-
|-
|[[1/17-comma meantone]]||700.690||  
|[[-15/16-comma meantone]]
|722.117
|
|-
|-
|[[1/18-comma meantone]]||700.760||  
|[[-16/17-comma meantone]]
|722.196
|
|-
|-
|0/1-comma meantone||701.955||[[Pythagorean tuning]]. Everything from this point onwards does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).
|[[-17/18-comma meantone]]
|722.266
|
|-
|-
|[[5edo]]||720.000||'''Upper boundary of 5-limit diamond monotone.'''
|[[-1/1-comma meantone]]
|723.461
|Close to [[68edo]]
|-
|-
|}
|}
[[Category:Tables]][[Category:Meantone]]
[[Category:Tables]]
[[Category:Meantone]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Table_of_n-comma_meantone_generators"