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

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{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+Spectrum of meantone tunings 1/1-comma to 11/21-comma
|+Spectrum of meantone tunings 1/1-comma to 11/21-comma
!Temperament!!Generator (cents)!!Comments
!Meantone Temperament!!Generator (cents)!!Comments
|-
|-
|[[1/1-comma meantone]]||680.449||Close to [[30edo]]
|[[1/1-comma meantone|1/1-comma]] ||680.449||Close to [[30edo]]
|-
|-
|[[20/21-comma meantone]]  
|[[21/22-comma meantone|21/22-comma]]
|681.426
|Close to [[37edo]].
|-
|[[20/21-comma meantone|20/21-comma]]
|681.473
|681.473
|Close to [[37edo]].
|
|-
|-
|[[19/20-comma meantone]]
|[[19/20-comma meantone|19/20-comma]]  
|681.524
|681.524
|
|
|-
|-
|[[18/19-comma meantone]]
|[[18/19-comma meantone|18/19-comma]]
|681.581
|681.581
|
|
|-
|-
|[[17/18-comma meantone]]
|[[17/18-comma meantone|17/18-comma]]  
|681.644
|681.644
|
|
|-
|-
|[[16/17-comma meantone]]  
|[[16/17-comma meantone|16/17-comma]]  
|681.713
|681.713
|
|
|-
|-
|[[15/16-comma meantone]]||681.793|| Close to [[44edo]]
|[[15/16-comma meantone|15/16-comma]] ||681.793|| Close to [[44edo]]
|-
|-
|[[14/15-comma meantone]]||681.883||
|[[14/15-comma meantone|14/15-comma]] ||681.883||
|-
|-
|[[13/14-comma meantone]]||681.985||  
|[[13/14-comma meantone|13/14-comma]] ||681.985||  
|-
|-
|[[12/13-comma meantone]]||682.103||  
|[[12/13-comma meantone|12/13-comma]] ||682.103||  
|-
|-
|[[11/12-comma meantone]]||682.241||  
|[[11/12-comma meantone|11/12-comma]] ||682.241||  
|-
|-
|[[10/11-comma meantone]]||682.404||Close to [[51edo]]
|[[10/11-comma meantone|10/11-comma]] ||682.404||Close to [[51edo]]
|-
|-
|[[19/21-comma meantone]]  
|[[19/21-comma meantone|19/21-comma]]  
|682.497
|682.497
|
|
|-
|-
|[[9/10-comma meantone]]||682.599||  
|[[9/10-comma meantone|9/10-comma]]||682.599||  
|-
|-
|[[17/19-comma meantone]]
|[[17/19-comma meantone|17/19-comma]]
|682.713
|682.713
|
|
|-
|-
|[[8/9-comma meantone]]||682.838||Close to [[58edo]]
|[[8/9-comma meantone|8/9-comma]] ||682.838||Close to [[58edo]]
|-
|-
|[[15/17-comma meantone]]
|[[15/17-comma meantone|15/17-comma]]  
|682.979
|682.979
|
|
|-
|-
|[[7/8-comma meantone]]||683.137||Close to [[65edo]]
|[[7/8-comma meantone|7/8-comma]] ||683.137||Close to [[65edo]]
|-
|-
|[[13/15-comma meantone]]||683.316||Close to [[72edo]]  
|[[13/15-comma meantone|13/15-comma]] ||683.316||Close to [[72edo]]
|-
|-
|[[6/7-comma meantone]]||683.521||Close to [[79edo]]
|[[19/22-comma meantone|19/22-comma]]
|683.381
|
|-
|[[6/7-comma meantone|6/7-comma]] ||683.521||Close to [[79edo]]
|-
|-
|[[17/20-comma meantone]]
|[[17/20-comma meantone|17/20-comma]]  
|683.675
|683.675
|
|
|-
|-
|[[11/13-comma meantone]]||683.757||Close to [[86edo]]
|[[11/13-comma meantone|11/13-comma]] ||683.757||Close to [[86edo]]
|-
|-
|[[16/19-comma meantone]]
|[[16/19-comma meantone|16/19-comma]]  
|683.844
|683.844
|
|
|-
|-
|[[21/25-comma meantone]]
|[[21/25-comma meantone|21/25-comma]]  
|683.890
|683.890
|Close to [[93edo]]
|Close to [[93edo]]
|-
|-
|[[5/6-comma meantone]]||684.033|| Close to [[100edo]]
|[[5/6-comma meantone|5/6-comma]] ||684.033|| Close to [[100edo]]
|-
|-
|[[14/17-comma meantone]]  
|[[14/17-comma meantone|14/17-comma]]  
|684.244
|684.244
|
|
|-
|-
|[[9/11-comma meantone]]||684.359||  
|[[9/11-comma meantone|9/11-comma]] ||684.359||  
|-
|-
|[[13/16-comma meantone]]||684.481||  
|[[13/16-comma meantone|13/16-comma]] ||684.481||  
|-
|-
|[[17/21-comma meantone]]
|[[17/21-comma meantone|17/21-comma]]
|684.545
|684.545
|
|
|-
|-
|[[4/5-comma meantone]]||684.750||  
|[[4/5-comma meantone|4/5-comma]] ||684.750||  
|-
|-
|[[15/19-comma meantone]]
|[[15/19-comma meantone|15/19-comma]]
|684.976
|684.976
|
|
|-
|-
|[[11/14-comma meantone]]||685.057||  
|[[11/14-comma meantone|11/14-comma]] ||685.057||
|-
|[[7/9-comma meantone|7/9-comma]] ||685.228||  
|-
|-
|[[7/9-comma meantone]]||685.228||  
|[[17/22-comma meantone|17/22-comma]]  
|685.337
|
|-
|-
|[[10/13-comma meantone]]||685.412||
|[[10/13-comma meantone|10/13-comma]] ||685.412||
|-
|-
|[[13/17-comma meantone]]
|[[13/17-comma meantone|13/17-comma]]  
|685.509
|685.509
|
|
|-
|-
|[[16/21-comma meantone]]
|[[16/21-comma meantone|16/21-comma]]  
|685.569
|685.569
|Everything up to this point generates 9 and 16 tone MOS scales.
|Everything up to this point generates 9 and 16 tone MOS scales.
Line 125: Line 137:
|[[7edo]]||685.714||The largest MOS scale this can generate is 7 tone. '''Lower boundary of 5-limit diamond monotone.'''
|[[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|3/4-comma]] ||685.825||Everything from this point onwards generates 12 and 19 tone MOS scales.
|-
|-
|[[14/19-comma meantone]]
|[[14/19-comma meantone|14/19-comma]]  
|686.108
|686.108
|
|
|-
|-
|[[11/15-comma meantone]]||686.184||
|[[11/15-comma meantone|11/15-comma]] ||686.184||
|-
|-
|[[19/26-comma meantone]]
|[[19/26-comma meantone|19/26-comma]]  
|686.239
|686.239
|
|
|-
|-
|[[8/11-comma meantone]]||686.314||
|[[8/11-comma meantone|8/11-comma]]||686.314||
|-
|-
|[[13/18-comma meantone]]  
|[[13/18-comma meantone|13/18-comma]]  
|686.423
|686.423
|
|
|-
|-
|[[5/7-comma meantone]]||686.593||  
|[[5/7-comma meantone|5/7-comma]] ||686.593||  
|-
|-
|[[17/24-comma meantone]]  
|[[17/24-comma meantone|17/24-comma]]  
|686.721
|686.721
|
|
|-
|-
|[[12/17-comma meantone]]
|[[12/17-comma meantone|12/17-comma]]  
|686.774
|686.774
|
|
|-
|-
|[[7/10-comma meantone]]||686.901||  
|[[7/10-comma meantone|7/10-comma]] ||686.901||  
|-
|-
|[[9/13-comma meantone]]||687.066||  
|[[9/13-comma meantone|9/13-comma]] ||687.066||  
|-
|-
|[[11/16-comma meantone]]||687.169||  
|[[11/16-comma meantone|11/16-comma]] ||687.169||  
|-
|-
|[[13/19-comma meantone]]
|[[13/19-comma meantone|13/19-comma]]  
|687.240
|687.240
|
|
|-
|-
|[[2/3-comma meantone]]||687.617||Close to [[89edo]]
|[[15/22-comma meantone|15/22-comma]] 
|687.292
|
|-
|[[17/25-comma meantone|17/25-comma]]
|687.331
|
|-
|[[19/28-comma]]
|687.361
|
|-
|[[2/3-comma meantone|2/3-comma]] ||687.617||Close to [[89edo]]
|-
|-
|[[17/26-comma meantone]]
|[[17/26-comma meantone|17/26-comma]]
|687.893
|687.893
|Close to [[82edo]].
|Close to [[82edo]].
|-
|-
|[[15/23-comma meantone]]
|[[15/23-comma meantone|15/23-comma]]  
|687.929
|687.929
|
|
|-
|-
|[[13/20-comma meantone]]
|[[13/20-comma meantone|13/20-comma]]  
|687.976
|687.976
|
|
|-
|-
|[[11/17-comma  meantone]]
|[[11/17-comma  meantone|11/17-comma]]
|688.039
|688.039
|Close to [[75edo]]
|Close to [[75edo]]
|-
|-
|[[9/14-comma meantone]]||688.129||
|[[9/14-comma meantone|9/14-comma]] ||688.129||
|-
|-
|[[7/11-comma meantone]]||688.269||Close to [[68edo]]
|[[7/11-comma meantone|7/11-comma]] ||688.269||Close to [[68edo]]
|-
|-
|[[12/19-comma meantone]]
|[[12/19-comma meantone|12/19-comma]]  
|688.372
|688.372
|
|
|-
|-
|[[5/8-comma meantone]]||688.514||Close to [[61edo]]
|[[5/8-comma meantone|5/8-comma]] ||688.514||Close to [[61edo]]
|-
|-
|[[13/21-comma meantone]]  
|[[13/21-comma meantone|13/21-comma]]  
|688.641
|688.641
|
|
|-
|-
|[[Golden ratio-comma meantone]]
|[[Golden ratio-comma meantone|Golden ratio-comma]]  
|688.663
|688.663
|
|
|-
|-
|[[8/13-comma meantone]]||688.720||
|[[8/13-comma meantone|8/13-comma]] ||688.720||
|-
|-
|[[11/18-comma meantone]]  
|[[11/18-comma meantone|11/18-comma]]  
|688.812
|688.812
|Close to [[54edo]]
|Close to [[54edo]]
|-
|-
|[[3/5-comma meantone]]||689.051||  
|[[14/23-comma meantone|14/23-comma]] 
|688.864
|
|-
|[[3/5-comma meantone|3/5-comma]] ||689.051||
|-
|[[13/22-comma meantone|13/22-comma]]
|689.247
|
|-
|-
|[[10/17-comma meantone]]
|[[10/17-comma meantone|10/17-comma]]  
|689.304
|689.304
|
|
|-
|-
|[[7/12-comma meantone]]||689.410||Close to [[47edo]]
|[[7/12-comma meantone|7/12-comma]] ||689.410||Close to [[47edo]]
|-
|-
|[[11/19-comma meantone]]
|[[11/19-comma meantone|11/19-comma]]  
|689.504
|689.504
|
|
|-
|-
|[[4/7-comma meantone]]||689.666||Close to [[87edo]]
|[[4/7-comma meantone|4/7-comma]] ||689.666||Close to [[87edo]]
|-
|-
|[[9/16-comma meantone]]||689.858||  
|[[9/16-comma meantone|9/16-comma]] ||689.858||  
|-
|-
|[[5/9-comma meantone]]||690.007||Close to [[40edo]]
|[[5/9-comma meantone|5/9-comma]] ||690.007||Close to [[40edo]]
|-
|-
|[[11/20-comma meantone]]
|[[11/20-comma meantone|11/20-comma]]  
|690.127
|690.127
|
|
|-
|-
|[[6/11-comma meantone]]||690.224||  
|[[6/11-comma meantone|6/11-comma]] ||690.224||  
|-
|-
|[[7/13-comma meantone]]||690.375||Close to [[73edo]]
|[[7/13-comma meantone|7/13-comma]] ||690.375||Close to [[73edo]]
|-
|-
|[[8/15-comma meantone]]||690.485||
|[[8/15-comma meantone|8/15-comma]] ||690.485||
|-
|-
|[[9/17-comma meantone]]
|[[9/17-comma meantone|9/17-comma]]  
|690.569
|690.569
|
|
|-
|-
|[[10/19-comma meantone]]
|[[10/19-comma meantone|10/19-comma]]  
|690.636
|690.636
|
|
|-
|-
|[[11/21-comma meantone]]  
|[[11/21-comma meantone|11/21-comma]]  
|690.690
|690.690
|Close to [[33edo]]
|Close to [[33edo]]
Line 251: Line 283:
!Temperament!!Generator (cents)!!Comments
!Temperament!!Generator (cents)!!Comments
|-
|-
|[[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).
|[[1/2-comma meantone|1/2-comma]] ||691.202||Close to [[92edo]], [[59edo]]. Historically significant (see [[historical temperaments]]). Everything up to this point does not have a whole tone between 10/9 and 9/8.
|-
|-
|[[10/21-comma meantone]]
|[[10/21-comma meantone|10/21-comma]]
|691.714
|691.714
|
|
|-
|-
|[[9/19-comma meantone]]
|[[9/19-comma meantone|9/19-comma]]  
|691.768
|691.768
|Close to [[85edo]]
|Close to [[85edo]]
|-
|-
|[[8/17-comma meantone]]
|[[8/17-comma meantone|8/17-comma]]  
|691.834
|691.834
|
|
|-
|-
|[[7/15-comma meantone]]||691.919||
|[[7/15-comma meantone|7/15-comma]] ||691.919||
|-
|-
|[[6/13-comma meantone]]||692.029||  
|[[6/13-comma meantone|6/13-comma]] ||692.029||  
|-
|-
|[[5/11-comma meantone]]||692.179||  
|[[5/11-comma meantone|5/11-comma]] ||692.179||  
|-
|-
|[[9/20-comma meantone]]
|[[9/20-comma meantone|9/20-comma]]  
|692.277
|692.277
|Close to [[26edo]]
|Close to [[26edo]]
|-
|-
|[[4/9-comma meantone]]||692.397||
|[[4/9-comma meantone|4/9-comma]] ||692.397||
|-
|-
|[[7/16-comma meantone]]||692.546||  
|[[7/16-comma meantone|7/16-comma]] ||692.546||  
|-
|-
|[[3/7-comma meantone]]||692.738||  
|[[3/7-comma meantone|3/7-comma]] ||692.738||  
|-
|-
|[[8/19-comma meantone]]  
|[[8/19-comma meantone|8/19-comma]]  
|692.899
|692.899
|
|
|-
|-
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
|[[5/12-comma meantone|5/12-comma]] ||692.994||Close to [[71edo]]
|-
|-
|[[7/17-comma meantone]]||693.099||
|[[7/17-comma meantone|7/17-comma]] ||693.099||
|-
|-
|[[2/5-comma meantone]]||693.352||Close to [[45edo]]
|[[9/22-comma meantone|9/22-comma]]  
|693.157
|
|-
|-
|[[7/18-comma meantone]]||693.591||  
|[[2/5-comma meantone|2/5-comma]] ||693.352||Close to [[45edo]]
|-
|-
|[[5/13-comma meantone]]||693.683||
|[[9/23-comma meantone|9/23-comma]]  
|693.539
|
|-
|-
|[[Split Golden ratio-comma meantone]]
|[[7/18-comma meantone|7/18-comma]] ||693.591||
|-
|[[5/13-comma meantone|5/13-comma]] ||693.683||
|-
|[[Split Golden ratio-comma meantone|Split Golden ratio-comma]]  
|693.740
|693.740
|Close to [[64edo]]
|Close to [[64edo]]
|-
|-
|[[8/21-comma meantone]]
|[[8/21-comma meantone|8/21-comma]]  
|693.762
|693.762
|
|
|-
|-
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|[[3/8-comma meantone|3/8-comma]] ||693.890||Close to [[83edo]]
|-
|-
|[[7/19-comma meantone]]
|[[7/19-comma meantone|7/19-comma]]  
|694.032
|694.032
|
|
|-
|-
|[[4/11-comma meantone]]||694.134||Almost exactly 1/3-''Pythagorean'' comma meantone
|[[4/11-comma meantone|4/11-comma]] ||694.134||Almost exactly 1/3-''Pythagorean'' comma meantone
|-
|-
|[[5/14-comma meantone]]||694.274||  
|[[5/14-comma meantone|5/14-comma]] ||694.274||  
|-
|-
|[[6/17-comma meantone]]||694.365||
|[[6/17-comma meantone|6/17-comma]] ||694.365||
|-
|-
|[[7/20-comma meantone]]
|[[7/20-comma meantone|7/20-comma]]  
|694.428
|694.428
|
|
|-
|-
|[[8/23-comma meantone]]
|[[8/23-comma meantone|8/23-comma]]  
|694.475
|694.475
|
|
|-
|-
|[[9/26-comma meantone]]
|[[9/26-comma meantone|9/26-comma]]  
|694.511
|694.511
|
|
|-
|-
|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|[[1/3-comma meantone|1/3-comma]] ||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[9/28-comma meantone|9/28-comma]] 
|695.042
|
|-
|-
|[[6/19-comma meantone]]
|[[8/25-comma meantone|8/25-comma]] 
|695.073
|
|-
|[[7/22-comma meantone|7/22-comma]] 
|695.112
|
|-
|[[6/19-comma meantone|6/19-comma]]  
|695.164
|695.164
|
|
|-
|-
|[[5/16-comma meantone]]||695.234||  
|[[5/16-comma meantone|5/16-comma]] ||695.234||  
|-
|-
|[[4/13-comma meantone]]||695.338||  
|[[4/13-comma meantone|4/13-comma]] ||695.338||  
|-
|-
|[[3/10-comma meantone]]||695.503||Close to [[88edo]] and [[Lucy tuning]]. Historically significant (see [[historical temperaments]]).
|[[3/10-comma meantone|3/10-comma]] ||695.503||Close to [[88edo]] and [[Lucy tuning]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/17-comma meantone]]||695.630||Close to [[69edo]].
|[[5/17-comma meantone|5/17-comma]] ||695.630||Close to [[69edo]].
|-
|-
|[[7/24-comma meantone]]
|[[7/24-comma meantone|7/24-comma]]  
|695.682
|695.682
|
|
|-
|-
|[[2/7-comma meantone]]||695.810||Historically significant (see [[historical temperaments]]).
|[[2/7-comma meantone|2/7-comma]] ||695.810||Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/18-comma meantone]]||695.981||Close to [[50edo]].  
|[[5/18-comma meantone|5/18-comma]] ||695.981||Close to [[50edo]].
|-
|-
|[[3/11-comma meantone]]||696.090||
|[[3/11-comma meantone|3/11-comma]] ||696.090||
|-
|-
|[[7/26-comma meantone]]||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|[[7/26-comma meantone|7/26-comma]] ||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[4/15-comma meantone]]||696.220||
|[[4/15-comma meantone|4/15-comma]] ||696.220||
|-
|-
|[[5/19-comma meantone]]
|[[5/19-comma meantone|5/19-comma]]  
|696.295
|696.295
|Close to [[81edo]].
|Close to [[81edo]].
|-
|-
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Historically significant (see [[historical temperaments]]).
|[[Quarter-comma meantone|1/4-comma]] ||696.578||Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/21-comma meantone]]
|[[5/21-comma meantone|5/21-comma]]  
|696.834
|696.834
|Close to [[31edo]].
|Close to [[31edo]].
|-
|-
|[[4/17-comma meantone]]||696.895||
|[[4/17-comma meantone|4/17-comma]] ||696.895||
|-
|[[3/13-comma meantone|3/13-comma]] ||696.992||Close to [[7-limit|septimal]] & [[tridecimal]] meantone [[CTE]] tunings.
|-
|-
|[[3/13-comma meantone]]||696.992||Close to [[7-limit|septimal]] & [[tridecimal]] meantone [[CTE]] tunings.
|[[5/22-comma meantone|5/22-comma]]
|697.067
|
|-
|-
|[[2/9-comma meantone]]||697.176||Close to [[5-limit]] and [[undecimal]] meantone CTE tunings. Historically significant (see [[historical temperaments]]).
|[[2/9-comma meantone|2/9-comma]] ||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]]).
|[[3/14-comma meantone|3/14-comma]] ||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[4/19-comma meantone]]  
|[[4/19-comma meantone|4/19-comma]]  
|697.427
|697.427
|
|
|-
|-
|[[1/5-comma meantone]]||697.654||Close to [[43edo]]. Historically significant (see [[historical temperaments]]).
|[[1/5-comma meantone|1/5-comma]] ||697.654||Close to [[43edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[4/21-comma meantone]]
|[[4/21-comma meantone|4/21-comma]]  
|697.859
|697.859
|
|
|-
|-
|[[3/16-comma meantone]]||697.923||  
|[[3/16-comma meantone|3/16-comma]] ||697.923||  
|-
|[[2/11-comma meantone|2/11-comma]] ||698.045||Close to [[55edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/11-comma meantone]]||698.045||Close to [[55edo]]. Historically significant (see [[historical temperaments]]).
|[[3/17-comma meantone|3/17-comma]] ||698.159||
|-
|-
|[[3/17-comma meantone]]||698.159||
|[[4/23-comma meantone|4/23-comma]]
|698.215
|
|-
|-
|[[1/6-comma meantone]]||698.371||Historically significant (see [[historical temperaments]]). Everything up to this point has a fifth which is noticeably flat of [[Pythagorean tuning]].
|[[1/6-comma meantone|1/6-comma]] ||698.371||Historically significant (see [[historical temperaments]]). Everything up to this point has a fifth which is noticeably flat of [[Pythagorean tuning]].
|-
|-
|[[4/25-comma meantone]]||698.514||Close to [[67edo]].
|[[4/25-comma meantone|4/25-comma]] ||698.514||Close to [[67edo]].
|-
|-
|[[3/19-comma meantone]]
|[[3/19-comma meantone|3/19-comma]]  
|698.559
|698.559
|
|
|-
|-
|[[2/13-comma meantone]]||698.646|| Close to [[79edo]].
|[[2/13-comma meantone|2/13-comma]] ||698.646|| Close to [[79edo]].
|-
|-
|[[3/20-comma meantone]]
|[[3/20-comma meantone|3/20-comma]]  
|698.729
|698.729
|
|
|-
|-
|[[1/7-comma meantone]]||698.883||Close to [[91edo]]. Historically significant (see [[historical temperaments]]).
|[[1/7-comma meantone|1/7-comma]] ||698.883||Close to [[91edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/15-comma meantone]]||699.088||  
|[[3/22-comma meantone|3/22-comma]]
|699.022
|
|-
|-
|[[1/8-comma meantone]]||699.267||  
|[[2/15-comma meantone|2/15-comma]] ||699.088||  
|-
|-
|[[2/17-comma meantone]]||699.425||  
|[[1/8-comma meantone|1/8-comma]] ||699.267||  
|-
|-
|[[1/9-comma meantone]]||699.565||  
|[[2/17-comma meantone|2/17-comma]] ||699.425||  
|-
|-
|[[2/19-comma meantone]]
|[[1/9-comma meantone|1/9-comma]] ||699.565||
|-
|[[2/19-comma meantone|2/19-comma]]  
|699.691
|699.691
|
|
|-
|-
|[[1/10-comma meantone]]||699.804||  
|[[1/10-comma meantone|1/10-comma]] ||699.804||  
|-
|-
|[[2/21-comma meantone]]
|[[2/21-comma meantone|2/21-comma]]  
|699.907
|699.907
|
|
|-
|-
|[[1/11-comma meantone]]||700.000||Everything up to this point generates 12 and 19 tone MOS scales.
|[[1/11-comma meantone|1/11-comma]] ||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]].)
|[[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.
|[[1/12-comma meantone|1/12-comma]] ||700.163||Everything from this point onwards generates 12 and 17 tone MOS scales.
|-
|-
|[[1/13-comma meantone]]||700.301||  
|[[1/13-comma meantone|1/13-comma]] ||700.301||  
|-
|-
|[[1/14-comma meantone]]||700.419||  
|[[1/14-comma meantone|1/14-comma]] ||700.419||  
|-
|-
|[[1/15-comma meantone]]||700.521||  
|[[1/15-comma meantone|1/15-comma]] ||700.521||  
|-
|-
|[[1/16-comma meantone]]||700.611||  
|[[1/16-comma meantone|1/16-comma]] ||700.611||  
|-
|-
|[[1/17-comma meantone]]||700.690||  
|[[1/17-comma meantone|1/17-comma]] ||700.690||  
|-
|-
|[[1/18-comma meantone]]||700.760||  
|[[1/18-comma meantone|1/18-comma]] ||700.760||  
|-
|-
|[[1/19-comma meantone]]
|[[1/19-comma meantone|1/19-comma]]  
|700.823
|700.823
|
|
|-
|-
|[[1/20-comma meantone]]
|[[1/20-comma meantone|1/20-comma]]  
|700.879
|700.879
|
|
|-
|-
|[[1/21-comma meantone]]  
|[[1/21-comma meantone|1/21-comma]]  
|700.931
|700.931
|
|-
|[[1/22-comma meantone|1/22-comma]]
|700.977
|
|
|}
|}
Line 457: Line 525:
{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+Spectrum of meantone tunings 0/1-comma to -10/21-comma
|+Spectrum of meantone tunings 0/1-comma to -10/21-comma
!Temperament!!Generator (cents)!!Comments
!Meantone Temperament!!Generator (cents)!!Comments
|-
|-
|[[Pythagorean tuning]]
|[[Pythagorean tuning]]
|701.955||Historically significant (see [[historical temperaments]].)  Everything from this point onwards does not have a whole tone between 10/9 and 9/8.
|701.955||Historically significant (see [[historical temperaments]].)  Everything from this point onwards does not have a whole tone between 10/9 and 9/8.
|-
|-
|[[-1/21-comma meantone]]  
|[[-1/22-comma meantone|-1/22-comma]]
|702.933
|
|-
|[[-1/21-comma meantone|-1/21-comma]]  
|702.979
|702.979
|
|
|-
|-
|[[-1/20-comma meantone]]  
|[[-1/20-comma meantone|-1/20-comma]]  
|703.030
|703.030
|
|
|-
|-
|[[-1/19-comma meantone]]
|[[-1/19-comma meantone|-1/19-comma]]  
|703.087
|703.087
|
|
|-
|-
|[[-1/18-comma meantone]]
|[[-1/18-comma meantone|-1/18-comma]]  
|703.150
|703.150
|
|
|-
|-
|[[-1/17-comma meantone]]
|[[-1/17-comma meantone|-1/17-comma]]  
|703.220
|703.220
|
|
|-
|-
|[[-1/16-comma meantone]]
|[[-1/16-comma meantone|-1/16-comma]]  
|703.299
|703.299
|
|
|-
|-
|[[-1/15-comma meantone]]
|[[-1/15-comma meantone|-1/15-comma]]  
|703.389
|703.389
|Close to 11/13 third-[[kleisma]] temperament.
|Close to 11/13 third-[[kleisma]] temperament.
|-
|-
|[[-1/14-comma meantone]]
|[[-1/14-comma meantone|-1/14-comma]]  
|703.491
|703.491
|Close to [[29edo]].
|Close to [[29edo]].
|-
|-
|[[-1/13-comma meantone]]
|[[-1/13-comma meantone|-1/13-comma]]  
|703.609
|703.609
|
|
|-
|-
|[[-1/12-comma meantone]]
|[[-1/12-comma meantone|-1/12-comma]]  
|703.747
|703.747
|  
|  
|-
|-
|[[-1/11-comma meantone]]
|[[-1/11-comma meantone|-1/11-comma]]  
|703.910
|703.910
|About as sharp of [[Pythagorean tuning]] as [[12edo]] is flat.
|About as sharp of [[Pythagorean tuning]] as [[12edo]] is flat.
|-
|-
|[[-2/21-comma meantone]]  
|[[-2/21-comma meantone|-2/21-comma]]  
|704.003
|704.003
|Close to [[75edo]].
|Close to [[75edo]].
|-
|-
|[[-1/10-comma meantone]]
|[[-1/10-comma meantone|-1/10-comma]]  
|704.105
|704.105
|
|
|-
|-
|[[-2/19-comma meantone]]
|[[-2/19-comma meantone|-2/19-comma]]  
|704.219
|704.219
|
|
|-
|-
|[[-1/9-comma meantone]]
|[[-1/9-comma meantone|-1/9-comma]]  
|704.344
|704.344
|Close to [[46edo]], 11/7 quarter-kleisma temperament.
|Close to [[46edo]], 11/7 quarter-kleisma temperament.
|-
|-
|[[-2/17-comma meantone]]
|[[-2/17-comma meantone|-2/17-comma]]  
|704.483
|704.483
|
|
|-
|-
|[[-1/8-comma meantone]]
|[[-1/8-comma meantone|-1/8-comma]]  
|704.643
|704.643
|
|
|-
|-
|[[-2/15-comma meantone]]
|[[-2/15-comma meantone|-2/15-comma]]  
|704.823
|704.823
|Close to [[63edo]].
|Close to [[63edo]].
|-
|-
|[[-1/7-comma meantone]]
|[[-3/22-comma meantone|-3/22-comma]]
|704.888
|
|-
|[[-1/7-comma meantone|-1/7-comma]]
|705.027
|705.027
|Close to [[80edo]].
|Close to [[80edo]].
|-
|-
|[[-3/20-comma meantone]]  
|[[-3/20-comma meantone|-3/20-comma]]  
|705.181
|705.181
|
|
|-
|-
|[[-2/13-comma meantone]]
|[[-2/13-comma meantone|-2/13-comma]]  
|705.350
|705.350
|
|
|-
|-
|[[-3/19-comma meantone]]
|[[-3/19-comma meantone|-3/19-comma]]  
|705.350
|705.350
|
|
|-
|-
|[[-4/25-comma meantone]]
|[[-4/25-comma meantone|-4/25-comma]]  
|705.396
|705.396
|
|
|-
|-
|[[-1/6-comma meantone]]
|[[-1/6-comma meantone|-1/6-comma]]  
|705.538
|705.538
| Everything from this point onwards has a fifth which is noticeably sharp of [[Pythagorean tuning]].
| Everything from this point onwards has a fifth which is noticeably sharp of [[Pythagorean tuning]].
|-
|-
|[[-3/17-comma meantone]]
|[[-4/23-comma meantone|-4/23-comma]] 
|705.695
|
|-
|[[-3/17-comma meantone|-3/17-comma]]  
|705.750
|705.750
|About as sharp of [[Pythagorean tuning]] as [[55edo]] is flat.
|About as sharp of [[Pythagorean tuning]] as [[55edo]] is flat.
|-
|-
|[[-2/11-comma meantone]]
|[[-2/11-comma meantone|-2/11-comma]]  
|705.865
|705.865
|Everything up to this point generates 17 and 29 tone MOS scales.
|Everything up to this point generates 17 and 29 tone MOS scales.
Line 570: Line 650:
|Vaguely resembles Middle Eastern neutral third scales.
|Vaguely resembles Middle Eastern neutral third scales.
|-
|-
|[[-3/16-comma meantone]]
|[[-3/16-comma meantone|-3/16-comma]]  
|705.987
|705.987
|Everything from this point onwards generates 17 and 22 tone MOS scales.
|Everything from this point onwards generates 17 and 22 tone MOS scales.
|-
|-
|[[-4/21-comma meantone]]  
|[[-4/21-comma meantone|-4/21-comma]]  
|706.051
|706.051
|
|
|-
|-
|[[-1/5-comma meantone]]
|[[-1/5-comma meantone|-1/5-comma]]  
|706.256
|706.256
|About as sharp of [[Pythagorean tuning]] as [[43edo]] is flat.
|About as sharp of [[Pythagorean tuning]] as [[43edo]] is flat.
|-
|-
|[[-4/19 comma meantone]]
|[[-4/19 comma meantone|-4/19 comma]]  
|706.483
|706.483
|
|
|-
|-
|[[-3/14-comma meantone]]
|[[-3/14-comma meantone|-3/14-comma]]  
|706.563
|706.563
| About as sharp of [[Pythagorean tuning]] as [[74edo]] is flat.
| About as sharp of [[Pythagorean tuning]] as [[74edo]] is flat.
|-
|-
|[[-2/9-comma meantone]]
|[[-2/9-comma meantone|-2/9-comma]]  
|706.734
|706.734
|
|
|-
|-
|[[-3/13-comma meantone]]
|[[-5/22-comma meantone|-5/22-comma]] 
|706.843
|
|-
|[[-3/13-comma meantone|-3/13-comma]]  
|706.918
|706.918
|Close to [[39edo]].
|Close to [[39edo]].
|-
|-
|[[-4/17-comma meantone]]
|[[-4/17-comma meantone|-4/17-comma]]  
|707.015
|707.015
|
|
|-
|-
|[[-5/21-comma meantone]]
|[[-5/21-comma meantone|-5/21-comma]]  
|707.076
|707.076
|About as sharp of [[Pythagorean tuning]] as [[31edo]] is flat.
|About as sharp of [[Pythagorean tuning]] as [[31edo]] is flat.
|-
|-
|[[Negative Quarter-comma meantone]]
|[[Negative Quarter-comma meantone|Negative Quarter-comma]]  
|707.332
|707.332
|
|
|-
|-
|[[-5/19-comma meantone]]
|[[-5/19-comma meantone|-5/19-comma]]  
|707.615
|707.615
|
|
|-
|-
|[[-4/15-comma meantone]]
|[[-4/15-comma meantone|-4/15-comma]]  
|707.690
|707.690
|About as sharp of [[Pythagorean tuning]] as [[Golden meantone]] is flat.
|About as sharp of [[Pythagorean tuning]] as [[Golden meantone]] is flat.
|-
|-
|[[-7/26-comma meantone]]
|[[-7/26-comma meantone|-7/26-comma]]  
|707.745
|707.745
|
|
|-
|-
|[[-3/11-comma meantone]]
|[[-3/11-comma meantone|-3/11-comma]]  
|707.820
|707.820
|Almost exactly -1/4-''Pythagorean'' comma meantone
|Almost exactly -1/4-''Pythagorean'' comma meantone
|-
|-
|[[-5/18-comma meantone]]
|[[-5/18-comma meantone|-5/18-comma]]  
|707.930
|707.930
|About as sharp of [[Pythagorean tuning]] as [[50edo]] is flat. Close to [[86edo|100edo]]
|About as sharp of [[Pythagorean tuning]] as [[50edo]] is flat. Close to [[86edo|100edo]]
|-
|-
|[[-2/7-comma meantone]]
|[[-2/7-comma meantone|-2/7-comma]]  
|708.100
|708.100
|
|
|-
|-
|[[-7/24-comma meantone]]
|[[-7/24-comma meantone|-7/24-comma]]  
|708.227
|708.227
|
|
|-
|-
|[[-5/17-comma meantone]]
|[[-5/17-comma meantone|-5/17-comma]]  
|708.280
|708.280
|
|
|-
|-
|[[-3/10-comma meantone]]
|[[-3/10-comma meantone|-3/10-comma]]  
|708.407
|708.407
|Nearly as sharp of [[Pythagorean tuning]] as [[Lucy tuning]] is flat. Nearly as sharp of [[Pythagorean tuning]] as [[88edo]] is flat.
|Nearly as sharp of [[Pythagorean tuning]] as [[Lucy tuning]] is flat. Nearly as sharp of [[Pythagorean tuning]] as [[88edo]] is flat.
|-
|-
|[[-4/13-comma meantone]]
|[[-4/13-comma meantone|-4/13-comma]]  
|708.572
|708.572
|
|
|-
|-
|[[-5/16-comma meantone]]
|[[-5/16-comma meantone|-5/16-comma]]  
|708.675
|708.675
|  
|  
|-
|-
|[[-6/19-comma meantone]]  
|[[-6/19-comma meantone|-6/19-comma]]  
|708.746
|708.746
|
|
|-
|-
|[[-1/3-comma meantone]]
|[[-7/22-comma meantone|-7/22-comma]]
|708.800
|
|-
|[[-8/25-comma meantone|-8/25-comma]]
|708.837
|
|-
|[[-9/28-comma meantone|-9/28-comma]]
|708.867
|
|-
|[[-1/3-comma meantone|-1/3-comma]]  
|709.124
|709.124
|Close to [[22edo]]. About as sharp of [[Pythagorean tuning]] as [[19edo]] is flat.
|Close to [[22edo]]. About as sharp of [[Pythagorean tuning]] as [[19edo]] is flat.
|-
|-
|[[-9/26-comma meantone]]
|[[-9/26-comma meantone|-9/26-comma]]  
|709.399
|709.399
|
|
|-
|-
|[[-8/23-comma meantone]]
|[[-8/23-comma meantone|-8/23-comma]]  
|709.435
|709.435
|
|
|-
|-
|[[-7/20-comma meanetone]]
|[[-7/20-comma meantone|-7/20-comma]]  
|709.482
|709.482
|
|
|-
|-
|[[-6/17-comma meantone]]
|[[-6/17-comma meantone|-6/17-comma]]  
|709.545
|709.545
|
|
|-
|-
|[[-5/14-comma meantone]]
|[[-5/14-comma meantone|-5/14-comma]]  
|709.636
|709.636
|Close to [[93edo]]
|Close to [[93edo]]
|-
|-
|[[-4/11-comma meantone]]
|[[-4/11-comma meantone|-4/11-comma]]  
|709.775
|709.775
|Almost exactly -1/3-''Pythagorean'' comma meantone.
|Almost exactly -1/3-''Pythagorean'' comma meantone.
|-
|-
|[[-7/19-comma meantone]]
|[[-7/19-comma meantone|-7/19-comma]]  
|709.878
|709.878
|
|
|-
|-
|[[-3/8-comma meantone]]
|[[-3/8-comma meantone|-3/8-comma]]  
|710.019
|710.019
|
|
|-
|-
|[[-8/21-comma meantone]]
|[[-8/21-comma meantone|-8/21-comma]]  
|710.148
|710.148
|
|
|-
|-
|[[Negative Split Golden ratio-comma meantone]]
|[[Negative Split Golden ratio-comma meantone|Negative Split Golden ratio-comma]]  
|710.170
|710.170
|
|
|-
|-
|[[-5/13-comma meantone]]
|[[-5/13-comma meantone|-5/13-comma]]  
|710.227
|710.227
|Close to [[49edo]].
|Close to [[49edo]].
|-
|-
|[[-7/18-comma meantone]]
|[[-7/18-comma meantone|-7/18-comma]]  
|710.319
|710.319
|
|
|-
|-
|[[-2/5-comma meantone]]
|[[-9/23-comma meantone|-9/23-comma]] 
|710.371
|
|-
|[[-2/5-comma meantone|-2/5-comma]]  
|710.558
|710.558
|
|
|-
|-
|[[-7/17-comma meantone]]
|[[-9/22-comma meantone|-9/22-comma]]
|710.753
|
|-
|[[-7/17-comma meantone|-7/17-comma]]  
|710.810
|710.810
|
|
|-
|-
|[[-5/12-comma meantone]]
|[[-5/12-comma meantone|-5/12-comma]]  
|710.915
|710.915
|
|
|-
|-
|[[-8/19-comma meantone]]
|[[-8/19-comma meantone|-8/19-comma]]  
|711.010
|711.010
|
|
|-
|-
|[[-3/7-comma meantone]]
|[[-3/7-comma meantone|-3/7-comma]]  
|711.172
|711.172
|Close to [[27edo]].
|Close to [[27edo]].
|-
|-
|[[-7/16-comma meantone]]
|[[-7/16-comma meantone|-7/16-comma]]  
|711.364
|711.364
|
|
|-
|-
|[[-4/9-comma meantone]]
|[[-4/9-comma meantone|-4/9-comma]]  
|711.513
|711.513
|
|
|-
|-
|[[-9/20-comma meantone]]
|[[-9/20-comma meantone|-9/20-comma]]  
|711.633
|711.633
|
|
|-
|-
|[[-5/11-comma meantone]]
|[[-5/11-comma meantone|-5/11-comma]]  
|711.731
|711.731
|
|
|-
|-
|[[-6/13-comma meantone]]
|[[-6/13-comma meantone|-6/13-comma]]  
|711.880
|711.880
|Close to [[59edo]].
|Close to [[59edo]].
|-
|-
|[[-7/15-comma meantone]]
|[[-7/15-comma meantone|-7/15-comma]]  
|711.991
|711.991
|
|
|-
|-
|[[-8/17-comma meantone]]
|[[-8/17-comma meantone|-8/17-comma]]  
|712.075
|712.075
|
|
|-
|-
|[[-9/19-comma meantone]]
|[[-9/19-comma meantone|-9/19-comma]]  
|712.142
|712.142
|
|
|-
|-
|[[-10/21-comma meantone]]  
|[[-10/21-comma meantone|-10/21-comma]]  
|712.196
|712.196
|
|
Line 770: Line 874:
{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+ Spectrum of meantone tunings -1/2-comma to -1/1-comma
|+ Spectrum of meantone tunings -1/2-comma to -1/1-comma
!Temperament!!Generator (cents)!!Comments
!Meantone Temperament!!Generator (cents)!!Comments
|-
|-
|[[-1/2-comma meantone]]
|[[-1/2-comma meantone|-1/2-comma]]  
|712.708
|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).
|Close to [[32edo]]. Everything from this point onwards does not have a whole tone being between 9/8 and 729/640.
|-
|-
|[[-11/21-comma meantone]]
|[[-11/21-comma meantone|-11/21-comma]]  
|713.220
|713.220
|
|
|-
|-
|[[-10/19-comma meantone]]  
|[[-10/19-comma meantone|-10/19-comma]]  
|713.274
|713.274
|
|
|-
|-
|[[-9/17-comma meantone]]
|[[-9/17-comma meantone|-9/17-comma]]  
|713.340
|713.340
|
|
|-
|-
|[[-8/15-comma meantone]]
|[[-8/15-comma meantone|-8/15-comma]]  
|713.425
|713.425
|
|
|-
|-
|[[-7/13-comma meantone]]
|[[-7/13-comma meantone|-7/13-comma]]  
|713.535
|713.535
|Close to [[37edo]].
|Close to [[37edo]].
|-
|-
|[[-6/11-comma meantone]]
|[[-6/11-comma meantone|-6/11-comma]]  
|713.686
|713.686
|
|
|-
|-
|[[-11/20-comma meantone]]  
|[[-11/20-comma meantone|-11/20-comma]]  
|713.783
|713.783
|
|
|-
|-
|[[-5/9-comma meantone]]
|[[-5/9-comma meantone|-5/9-comma]]  
|713.903
|713.903
|
|
|-
|-
|[[-9/16-comma meantone]]
|[[-9/16-comma meantone|-9/16-comma]]  
|714.052
|714.052
|
|
|-
|-
|[[-4/7-comma meantone]]
|[[-4/7-comma meantone|-4/7-comma]]  
|714.244
|714.244
|Close to [[42edo]].
|Close to [[42edo]].
|-
|-
|[[-11/19-comma meantone]]
|[[-11/19-comma meantone|-11/19-comma]]  
|714.406
|714.406
|
|
|-
|-
|[[-7/12-comma meantone]]
|[[-7/12-comma meantone|-7/12-comma]]  
|714.500
|714.500
|
|
|-
|-
|[[-10/17-comma meantone]]
|[[-10/17-comma meantone|-10/17-comma]]  
|714.606
|714.606
|
|
|-
|-
|[[-3/5-comma meantone]]
|[[-13/22-comma meantone|-13/22-comma]]
|714.663
|
|-
|[[-3/5-comma meantone|-3/5-comma]]  
|714.859
|714.859
|Close to [[47edo]].
|Close to [[47edo]].
|-
|-
|[[-11/18-comma meantone]]
|[[-14/23-comma meantone|-14/23-comma]]
|715.046
|
|-
|[[-11/18-comma meantone|-11/18-comma]]  
|715.098
|715.098
|
|
|-
|-
|[[-8/13-comma meantone]]
|[[-8/13-comma meantone|-8/13-comma]]  
|715.190
|715.190
|
|
|-
|-
|[[Negative Golden ratio-comma meantone]]
|[[Negative Golden ratio-comma meantone|Negative Golden ratio-comma]]  
|715.247
|715.247
|
|
|-
|-
|[[-13/21-comma meantone]]
|[[-13/21-comma meantone|-13/21-comma]]  
|715.268
|715.268
|
|
|-
|-
|[[-5/8-comma meantone]]
|[[-5/8-comma meantone|-5/8-comma]]  
|715.396
|715.396
|Close to [[52edo]].
|Close to [[52edo]].
|-
|-
|[[-12/19-comma meantone]]
|[[-12/19-comma meantone|-12/19-comma]]  
|715.538
|715.538
|
|
|-
|-
|[[-7/11-comma meantone]]
|[[-7/11-comma meantone|-7/11-comma]]  
|715.641
|715.641
|
|
|-
|-
|[[-9/14-comma meantone]]
|[[-9/14-comma meantone|-9/14-comma]]  
|715.780
|715.780
|Close to [[57edo]].
|Close to [[57edo]].
|-
|-
|[[-11/17-comma meantone]]
|[[-11/17-comma meantone|-11/17-comma]]  
|715.871
|715.871
|
|
|-
|-
|[[-2/3-comma meantone]]
|[[-13/20-comma meantone|-13/20-comma]] 
|715.934
|
|-
|[[-2/3-comma meantone|-2/3-comma]]  
|716.293
|716.293
|Close to [[62edo]].
|Close to [[62edo]].
|-
|-
|[[-15/22 comma meantone]]
|[[-15/22 comma meantone|-15/22 comma]]  
|716.618
|716.618
|Close to [[67edo]].
|Close to [[67edo]].
|-
|-
|[[-13/19 comma meantone]]
|[[-13/19 comma meantone|-13/19 comma]]  
|716.669
|716.669
|Close to [[72edo]].
|Close to [[72edo]].
|-
|-
|[[-11/16-comma meantone]]
|[[-11/16-comma meantone|-11/16-comma]]  
|716.741
|716.741
|
|
|-
|-
|[[-9/13-comma meantone]]
|[[-9/13-comma meantone|-9/13-comma]]  
|716.844
|716.844
|Close to [[77edo]].
|Close to [[77edo]].
|-
|-
|[[-7/10-comma meantone]]
|[[-7/10-comma meantone|-7/10-comma]]  
|717.009
|717.009
|
|
|-
|-
|[[-12/17-comma meantone]]
|[[-12/17-comma meantone|-12/17-comma]]  
|717.136
|717.136
|Close to [[82edo]].
|Close to [[82edo]].
|-
|-
|[[-17/24-comma meantone]]
|[[-17/24-comma meantone|-17/24-comma]]  
|717.188
|717.188
|Close to [[87edo]].
|Close to [[87edo]].
|-
|-
|[[-5/7-comma meantone]]
|[[-5/7-comma meantone|-5/7-comma]]  
|717.317
|717.317
|Close to [[92edo]].
|Close to [[92edo]].
|-
|-
|[[-13/18-comma meantone]]
|[[-13/18-comma meantone|-13/18-comma]]  
|717.487
|717.487
|Close to [[97edo]].
|Close to [[97edo]].
|-
|-
|[[-8/11-comma meantone]]
|[[-8/11-comma meantone|-8/11-comma]]  
|717.596
|717.596
|
|
|-
|-
|[[-19/26-comma meantone]]
|[[-19/26-comma meantone|-19/26-comma]]  
|717.671
|717.671
|
|
|-
|-
|[[-11/15-comma meantone]]
|[[-11/15-comma meantone|-11/15-comma]]  
|717.726
|717.726
|
|
|-
|-
|[[-14/19-comma meantone]]
|[[-14/19-comma meantone|-14/19-comma]]  
|717.802
|717.802
|
|
|-
|-
|[[-3/4-comma meantone]]
|[[-3/4-comma meantone|-3/4-comma]]  
|718.085
|718.085
|About as sharp of [[Pythagorean tuning]] as [[7edo]] is flat.
|About as sharp of [[Pythagorean tuning]] as [[7edo]] is flat.
|-
|-
|[[-16/21-comma meantone]]
|[[-21/26-comma meantone|-21/26-comma]] 
|718.325
|
|-
|[[-16/21-comma meantone|-16/21-comma]]  
|718.341
|718.341
|
|
|-
|-
|[[-13/17-comma meantone]]
|[[-13/17-comma meantone|-13/17-comma]]  
|718.401
|718.401
|
|
|-
|-
|[[-10/13-comma meantone]]
|[[-10/13-comma meantone|-10/13-comma]]  
|718.498
|718.498
|
|
|-
|-
|[[-7/9-comma meantone]]
|[[-17/22-comma meantone|-17/22-comma]]
|718.574
|
|-
|[[-7/9-comma meantone|-7/9-comma]]  
|718.682
|718.682
|
|
|-
|-
|[[-11/14-comma meantone]]
|[[-11/14-comma meantone|-11/14-comma]]  
|718.853
|718.853
|
|
|-
|-
|[[-15/19-comma meantone]]
|[[-15/19-comma meantone|-15/19-comma]]  
|718.934
|718.934
|
|
|-
|-
|[[-4/5-comma meantone]]
|[[-4/5-comma meantone|-4/5-comma]]  
|719.160
|719.160
|
|
|-
|-
|[[-17/21-comma meantone]]  
|[[-17/21-comma meantone|-17/21-comma]]  
|719.365
|719.365
|
|
|-
|-
|[[-13/16-comma meantone]]
|[[-13/16-comma meantone|-13/16-comma]]  
|719.429
|719.429
|
|
|-
|-
|[[-9/11-comma meantone]]
|[[-9/11-comma meantone|-9/11-comma]]  
|719.551
|719.551
|
|
|-
|-
|[[-14/17-comma meantone]]
|[[-14/17-comma meantone|-14/17-comma]]  
|719.666
|719.666
|
|
|-
|-
|[[-5/6-comma meantone]]
|[[-5/6-comma meantone|-5/6-comma]]  
|719.877
|719.877
|Everything up to this point generates 12 and 17 tone MOS scales.
|Everything up to this point generates 12 and 17 tone MOS scales.
Line 978: Line 1,102:
|[[5edo]]||720.000||The largest MOS scale this can generate is 5 tone. '''Upper boundary of 5-limit diamond monotone.'''
|[[5edo]]||720.000||The largest MOS scale this can generate is 5 tone. '''Upper boundary of 5-limit diamond monotone.'''
|-
|-
|[[-21/25-comma meantone]]
|[[-21/25-comma meantone|-21/25-comma]]  
|720.020
|720.020
|Everything from this point onwards generates 13 and 18 tone MOS scales.
|Everything from this point onwards generates 13 and 18 tone MOS scales.
|-
|-
|[[-16/19-comma meantone]]
|[[-16/19-comma meantone|-16/19-comma]]  
|720.066
|720.066
|
|
|-
|-
|[[-11/13-comma meantone]]
|[[-11/13-comma meantone|-11/13-comma]]  
|720.153
|720.153
|
|
|-
|-
|[[-17/20-comma meantone]]
|[[-17/20-comma meantone|-17/20-comma]]  
|720.235
|720.235
|
|
|-
|-
|[[-6/7-comma meantone]]
|[[-6/7-comma meantone|-6/7-comma]]  
|720.399
|720.399
|
|
|-
|-
|[[-19/22-comma meantone]]  
|[[-19/22-comma meantone|-19/22-comma]]  
|720.529
|720.529
|
|
|-
|-
|[[-13/15-comma meantone]]
|[[-13/15-comma meantone|-13/15-comma]]  
|720.594
|720.594
|
|
|-
|-
| -[[7/8-comma meantone]]
| -[[7/8-comma meantone|7/8-comma]]  
|720.773
|720.773
|
|
|-
|-
|[[-15/17-comma meantone]]
|[[-15/17-comma meantone|-15/17-comma]]  
|720.931
|720.931
|
|
|-
|-
|[[-8/9-comma meantone]]
|[[-8/9-comma meantone|-8/9-comma]]  
|721.017
|721.017
|
|
|-
|-
|[[-17/19-comma meantone]]  
|[[-17/19-comma meantone|-17/19-comma]]  
|721.197
|721.197
|
|
|-
|-
|[[-9/10-comma meantone]]
|[[-9/10-comma meantone|-9/10-comma]]  
|721.311
|721.311
|
|
|-
|-
|[[-19/21-comma meantone]]
|[[-19/21-comma meantone|-19/21-comma]]  
|721.413
|721.413
|
|
|-
|-
|[[-10/11-comma meantone]]
|[[-10/11-comma meantone|-10/11-comma]]  
|721.506
|721.506
|
|
|-
|-
|[[-11/12-comma meantone]]
|[[-11/12-comma meantone|-11/12-comma]]  
|721.669
|721.669
|
|
|-
|-
|[[-12/13-comma meantone]]
|[[-12/13-comma meantone|-12/13-comma]]  
|721.807
|721.807
|
|
|-
|-
|[[-13/14-comma meantone]]
|[[-13/14-comma meantone|-13/14-comma]]  
|721.925
|721.925
|
|
|-
|-
|[[-14/15-comma meantone]]
|[[-14/15-comma meantone|-14/15-comma]]  
|722.028
|722.028
|
|
|-
|-
|[[-15/16-comma meantone]]
|[[-15/16-comma meantone|-15/16-comma]]  
|722.117
|722.117
|
|
|-
|-
|[[-16/17-comma meantone]]
|[[-16/17-comma meantone|-16/17-comma]]  
|722.196
|722.196
|
|
|-
|-
|[[-17/18-comma meantone]]
|[[-17/18-comma meantone|-17/18-comma]]  
|722.266
|722.266
|
|
|-
|-
|[[-18/19-comma meantone]]
|[[-18/19-comma meantone|-18/19-comma]]  
|722.329
|722.329
|
|
|-
|-
|[[-19/20-comma meantone]]  
|[[-19/20-comma meantone|-19/20-comma]]  
|722.386
|722.386
|
|
|-
|-
|[[-20/21-comma meantone]]  
|[[-20/21-comma meantone|-20/21-comma]]  
|722.437
|722.437
|
|
|-
|-
|[[-21/22-comma meantone]]  
|[[-21/22-comma meantone|-21/22-comma]]  
|722.484
|722.484
|
|
|-
|-
|[[-1/1-comma meantone]]
|[[-1/1-comma meantone|-1/1-comma]]  
|723.461
|723.461
|Close to [[68edo]]
|Close to [[68edo]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Table_of_n-comma_meantone_generators"