Xenharmonic Wiki

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

← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled
18,215 edits
mNo edit summary
Moremajorthanmajor (talk | contribs)
autopatrolled
3,126 edits
No edit summary
Line 1: Line 1:
{{Editable user page}}
{{Editable user page}}


Here are all [[meantone]] tunings that can be written in the form "n-comma meantone", where n is a fraction between -1 and 1 with a denominator 18 or smaller.  
Here are all [[meantone]] tunings that can be written in the form "n-comma meantone", where the syntonic comma ([[81/80]]) is being divided and n is a fraction between -1 and 1 with a denominator 22 or smaller.  


The comma being divided here is the syntonic comma ([[81/80]]).
Temperaments that fall outside of the "historically considered meantone", or even the diamond monotone, range will not provide most of the properties that meantone usually provides, but they are included for completeness.
 
Temperaments that fall outside of the "historically considered meantone" range will not provide most of the properties that meantone usually provides, but they are included for completeness.


== Scope ==
== Scope ==
Line 14: Line 12:
Dozens of tunings on this table are significant to [[negative harmony temperaments|negative harmony temperament theory]], enough that labelling them all individually would clutter the table.  
Dozens of tunings on this table are significant to [[negative harmony temperaments|negative harmony temperament theory]], enough that labelling them all individually would clutter the table.  


All tunings on this table are close to some arbitrarily large [[EDO]], but labelling them beyond [[100edo]] would clutter the table.
All tunings on this table are close (within 1/2 degree of closing) to some arbitrarily large [[EDO]], but labeling them beyond [[100edo]] would clutter the table.


== Flatter than flattest allowed historical meantone ==
== Flatter than flattest allowed historical meantone ==
{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+ Spectrum of meantone tunings 1/1-comma to 9/17-comma
|+Spectrum of meantone tunings 1/1-comma to 11/21-comma
!Temperament!!Generator (cents)!!Comments
!Temperament!!Generator (cents)!!Comments
|-
|-
|[[1/1-comma meantone]]||680.449||Close to [[30edo]]
|[[1/1-comma meantone]]||680.449||Close to [[30edo]]
|-
|[[20/21-comma meantone]]
|681.473
|Close to [[37edo]].
|-
|[[19/20-comma meantone]]
|681.524
|
|-
|[[18/19-comma meantone]]
|681.581
|
|-
|-
|[[17/18-comma meantone]]
|[[17/18-comma meantone]]
|681.644
|681.644
|Close to [[37edo]].
|
|-
|-
|[[16/17-comma meantone]]  
|[[16/17-comma meantone]]  
Line 42: Line 52:
|-
|-
|[[10/11-comma meantone]]||682.404||Close to [[51edo]]
|[[10/11-comma meantone]]||682.404||Close to [[51edo]]
|-
|[[19/21-comma meantone]]
|682.497
|
|-
|-
|[[9/10-comma meantone]]||682.599||  
|[[9/10-comma meantone]]||682.599||  
|-
|[[17/19-comma meantone]]
|682.713
|
|-
|-
|[[8/9-comma meantone]]||682.838||Close to [[58edo]]
|[[8/9-comma meantone]]||682.838||Close to [[58edo]]
Line 56: Line 74:
|-
|-
|[[6/7-comma meantone]]||683.521||Close to [[79edo]]
|[[6/7-comma meantone]]||683.521||Close to [[79edo]]
|-
|[[17/20-comma meantone]]
|683.675
|
|-
|-
|[[11/13-comma meantone]]||683.757||Close to [[86edo]]
|[[11/13-comma meantone]]||683.757||Close to [[86edo]]
Line 77: Line 99:
|[[13/16-comma meantone]]||684.481||  
|[[13/16-comma meantone]]||684.481||  
|-
|-
|[[4/5-comma meantone]]||684.75||  
|[[17/21-comma meantone]]
|684.545
|
|-
|[[4/5-comma meantone]]||684.750||
|-
|[[15/19-comma meantone]]
|684.976
|
|-
|-
|[[11/14-comma meantone]]||685.057||  
|[[11/14-comma meantone]]||685.057||  
Line 87: Line 117:
|[[13/17-comma meantone]]
|[[13/17-comma meantone]]
|685.509
|685.509
|
|-
|[[16/21-comma meantone]]
|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 92: Line 126:
|-
|-
|[[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.
|-
|[[14/19-comma meantone]]
|686.108
|
|-
|-
|[[11/15-comma meantone]]||686.184||
|[[11/15-comma meantone]]||686.184||
Line 120: Line 158:
|-
|-
|[[11/16-comma meantone]]||687.169||  
|[[11/16-comma meantone]]||687.169||  
|-
|[[13/19-comma meantone]]
|687.240
|
|-
|-
|[[2/3-comma meantone]]||687.617||Close to [[89edo]]
|[[2/3-comma meantone]]||687.617||Close to [[89edo]]
Line 142: Line 184:
|-
|-
|[[7/11-comma meantone]]||688.269||Close to [[68edo]]
|[[7/11-comma meantone]]||688.269||Close to [[68edo]]
|-
|[[12/19-comma meantone]]
|688.372
|
|-
|-
|[[5/8-comma meantone]]||688.514||Close to [[61edo]]
|[[5/8-comma meantone]]||688.514||Close to [[61edo]]
|-
|-
|[[Golden ratio comma meantone]]
|[[13/21-comma meantone]]
|688.641
|
|-
|[[Golden ratio-comma meantone]]
|688.663
|688.663
|
|
Line 162: Line 212:
|-
|-
|[[7/12-comma meantone]]||689.410||Close to [[47edo]]
|[[7/12-comma meantone]]||689.410||Close to [[47edo]]
|-
|[[11/19-comma meantone]]
|689.504
|
|-
|-
|[[4/7-comma meantone]]||689.666||Close to [[87edo]]
|[[4/7-comma meantone]]||689.666||Close to [[87edo]]
Line 168: Line 222:
|-
|-
|[[5/9-comma meantone]]||690.007||Close to [[40edo]]
|[[5/9-comma meantone]]||690.007||Close to [[40edo]]
|-
|[[11/20-comma meantone]]
|690.127
|
|-
|-
|[[6/11-comma meantone]]||690.224||  
|[[6/11-comma meantone]]||690.224||  
Line 177: Line 235:
|[[9/17-comma meantone]]
|[[9/17-comma meantone]]
|690.569
|690.569
|
|-
|[[10/19-comma meantone]]
|690.636
|
|-
|[[11/21-comma meantone]]
|690.690
|Close to [[33edo]]
|Close to [[33edo]]
|}
|}
Line 182: Line 248:
== Historically considered meantone ==
== Historically considered meantone ==
{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+ Spectrum of meantone tunings 1/2-comma to 1/18-comma
|+Spectrum of meantone tunings 1/2-comma to 1/22-comma
!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]]||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).
|-
|[[10/21-comma meantone]]
|691.714
|
|-
|[[9/19-comma meantone]]
|691.768
|Close to [[85edo]]
|-
|-
|[[8/17-comma meantone]]
|[[8/17-comma meantone]]
|691.834
|691.834
|Close to [[85edo]]
|
|-
|-
|[[7/15-comma meantone]]||691.919||
|[[7/15-comma meantone]]||691.919||
Line 197: Line 271:
|[[5/11-comma meantone]]||692.179||  
|[[5/11-comma meantone]]||692.179||  
|-
|-
|[[4/9-comma meantone]]||692.397||Close to [[26edo]]
|[[9/20-comma meantone]]
|692.277
|Close to [[26edo]]
|-
|[[4/9-comma meantone]]||692.397||
|-
|-
|[[7/16-comma meantone]]||692.546||  
|[[7/16-comma meantone]]||692.546||  
|-
|-
|[[3/7-comma meantone]]||692.738||  
|[[3/7-comma meantone]]||692.738||  
|-
|[[8/19-comma meantone]]
|692.899
|
|-
|-
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
Line 213: Line 295:
|[[5/13-comma meantone]]||693.683||
|[[5/13-comma meantone]]||693.683||
|-
|-
|[[Split Golden ratio comma meantone]]
|[[Split Golden ratio-comma meantone]]
|693.740
|693.740
|Close to [[64edo]]
|Close to [[64edo]]
|-
|[[8/21-comma meantone]]
|693.762
|
|-
|-
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|-
|[[7/19-comma meantone]]
|694.032
|
|-
|-
|[[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
Line 238: Line 328:
|-
|-
|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[6/19-comma meantone]]
|695.164
|
|-
|-
|[[5/16-comma meantone]]||695.234||  
|[[5/16-comma meantone]]||695.234||  
Line 243: Line 337:
|[[4/13-comma meantone]]||695.338||  
|[[4/13-comma meantone]]||695.338||  
|-
|-
|[[3/10-comma meantone]]||695.503||Close to [[88edo]]
|[[3/10-comma meantone]]||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]]||695.630||Close to [[69edo]].
Line 253: Line 347:
|[[2/7-comma meantone]]||695.810||Historically significant (see [[historical temperaments]]).
|[[2/7-comma meantone]]||695.810||Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/18-comma meantone]]||695.981||Close to [[50edo]]. Historically significant (see [[historical temperaments]]).
|[[5/18-comma meantone]]||695.981||Close to [[50edo]].  
|-
|-
|[[3/11-comma meantone]]||696.090||
|[[3/11-comma meantone]]||696.090||
Line 259: Line 353:
|[[7/26-comma meantone]]||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|[[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]]
|[[4/15-comma meantone]]||696.220||
|-
|[[5/19-comma meantone]]
|696.295
|Close to [[81edo]].
|-
|-
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Close to [[31edo]]. Historically significant (see [[historical temperaments]]).
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Historically significant (see [[historical temperaments]]).
|-
|[[5/21-comma meantone]]
|696.834
|Close to [[31edo]].
|-
|-
|[[4/17-comma meantone]]||696.895||
|[[4/17-comma meantone]]||696.895||
Line 270: Line 372:
|-
|-
|[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]).
|[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[4/19-comma meantone]]
|697.427
|
|-
|-
|[[1/5-comma meantone]]||697.654||Close to [[43edo]]. Historically significant (see [[historical temperaments]]).
|[[1/5-comma meantone]]||697.654||Close to [[43edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[4/21-comma meantone]]
|697.859
|
|-
|-
|[[3/16-comma meantone]]||697.923||  
|[[3/16-comma meantone]]||697.923||  
Line 277: Line 387:
|[[2/11-comma meantone]]||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]]||699.425||
|[[3/17-comma meantone]]||698.159||
|-
|-
|[[1/6-comma meantone]]||698.371||Historically significant (see [[historical temperaments]]).
|[[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]].
|-
|-
|[[4/25-comma meantone]]||698.514||Close to [[67edo]].
|[[4/25-comma meantone]]||698.514||Close to [[67edo]].
Line 288: Line 398:
|-
|-
|[[2/13-comma meantone]]||698.646|| Close to [[79edo]].
|[[2/13-comma meantone]]||698.646|| Close to [[79edo]].
|-
|[[3/20-comma meantone]]
|698.729
|
|-
|-
|[[1/7-comma meantone]]||698.883||Close to [[91edo]]. Historically significant (see [[historical temperaments]]).
|[[1/7-comma meantone]]||698.883||Close to [[91edo]]. Historically significant (see [[historical temperaments]]).
Line 298: Line 412:
|-
|-
|[[1/9-comma meantone]]||699.565||  
|[[1/9-comma meantone]]||699.565||  
|-
|[[2/19-comma meantone]]
|699.691
|
|-
|-
|[[1/10-comma meantone]]||699.804||  
|[[1/10-comma meantone]]||699.804||  
|-
|[[2/21-comma meantone]]
|699.907
|
|-
|-
|[[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 318: Line 440:
|-
|-
|[[1/18-comma meantone]]||700.760||  
|[[1/18-comma meantone]]||700.760||  
|-
|[[1/19-comma meantone]]
|700.823
|
|-
|[[1/20-comma meantone]]
|700.879
|
|-
|[[1/21-comma meantone]]
|700.931
|
|}
|}


== Negative-harmonic-defined meantone ==
== Negative-harmonic-defined meantone (synonymous with [[Superpyth]]) ==
{| class="wikitable mw-collapsible"
{| class="wikitable mw-collapsible"
|+ Spectrum of meantone tunings 0/1-comma to -8/17-comma
|+Spectrum of meantone tunings 0/1-comma to -10/21-comma
!Temperament!!Generator (cents)!!Comments
!Temperament!!Generator (cents)!!Comments
|-
|-
|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).
|[[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.
|-
|[[-1/21-comma meantone]]
|702.979
|
|-
|[[-1/20-comma meantone]]
|703.030
|
|-
|[[-1/19-comma meantone]]
|703.087
|
|-
|-
|[[-1/18-comma meantone]]
|[[-1/18-comma meantone]]
Line 358: Line 505:
|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]]
|704.003
|Close to [[75edo]].
|-
|-
|[[-1/10-comma meantone]]
|[[-1/10-comma meantone]]
|704.105
|704.105
|
|-
|[[-2/19-comma meantone]]
|704.219
|
|
|-
|-
Line 382: Line 537:
|705.027
|705.027
|Close to [[80edo]].
|Close to [[80edo]].
|-
|[[-3/20-comma meantone]]
|705.181
|
|-
|-
|[[-2/13-comma meantone]]
|[[-2/13-comma meantone]]
Line 397: Line 556:
|[[-1/6-comma meantone]]
|[[-1/6-comma meantone]]
|705.538
|705.538
|  
| Everything from this point onwards has a fifth which is noticeably sharp of [[Pythagorean tuning]].
|-
|-
|[[-3/17-comma meantone]]
|[[-3/17-comma meantone]]
Line 414: Line 573:
|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]]
|706.051
|
|-
|-
|[[-1/5-comma meantone]]
|[[-1/5-comma meantone]]
|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]]
|706.483
|
|-
|-
|[[-3/14-comma meantone]]
|[[-3/14-comma meantone]]
|706.563
|706.563
|  
| About as sharp of [[Pythagorean tuning]] as [[74edo]] is flat.
|-
|-
|[[-2/9-comma meantone]]
|[[-2/9-comma meantone]]
Line 429: Line 596:
|[[-3/13-comma meantone]]
|[[-3/13-comma meantone]]
|706.918
|706.918
|
|Close to [[39edo]].
|-
|-
|[[-4/17-comma meantone]]
|[[-4/17-comma meantone]]
|707.015
|707.015
|About as sharp of [[Pythagorean tuning]] as [[74edo]] is flat.
|
|-
|[[-5/21-comma meantone]]
|707.076
|About as sharp of [[Pythagorean tuning]] as [[31edo]] is flat.
|-
|-
|[[Negative Quarter-comma meantone]]
|[[Negative Quarter-comma meantone]]
|707.332
|707.332
|
|-
|[[-5/19-comma meantone]]
|707.615
|
|
|-
|-
Line 469: Line 644:
|[[-3/10-comma meantone]]
|[[-3/10-comma meantone]]
|708.407
|708.407
|About 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]]
Line 478: Line 653:
|708.675
|708.675
|  
|  
|-
|[[-6/19-comma meantone]]
|708.746
|
|-
|-
|[[-1/3-comma meantone]]
|[[-1/3-comma meantone]]
Line 506: Line 685:
|709.775
|709.775
|Almost exactly -1/3-''Pythagorean'' comma meantone.
|Almost exactly -1/3-''Pythagorean'' comma meantone.
|-
|[[-7/19-comma meantone]]
|709.878
|
|-
|-
|[[-3/8-comma meantone]]
|[[-3/8-comma meantone]]
Line 511: Line 694:
|
|
|-
|-
|[[Negative Split Golden ratio comma meantone]]
|[[-8/21-comma meantone]]
|710.148
|
|-
|[[Negative Split Golden ratio-comma meantone]]
|710.170
|710.170
|
|
Line 533: Line 720:
|[[-5/12-comma meantone]]
|[[-5/12-comma meantone]]
|710.915
|710.915
|
|-
|[[-8/19-comma meantone]]
|711.010
|
|
|-
|-
Line 545: Line 736:
|[[-4/9-comma meantone]]
|[[-4/9-comma meantone]]
|711.513
|711.513
|
|-
|[[-9/20-comma meantone]]
|711.633
|
|
|-
|-
Line 561: Line 756:
|[[-8/17-comma meantone]]
|[[-8/17-comma meantone]]
|712.075
|712.075
|
|-
|[[-9/19-comma meantone]]
|712.142
|
|-
|[[-10/21-comma meantone]]
|712.196
|
|
|}
|}
Line 572: Line 775:
|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 meet the negative harmonic definition of meantone (the whole tone being between 9/8 and 729/640).
|-
|[[-11/21-comma meantone]]
|713.220
|
|-
|[[-10/19-comma meantone]]
|713.274
|
|-
|-
|[[-9/17-comma meantone]]
|[[-9/17-comma meantone]]
Line 587: Line 798:
|[[-6/11-comma meantone]]
|[[-6/11-comma meantone]]
|713.686
|713.686
|
|-
|[[-11/20-comma meantone]]
|713.783
|
|
|-
|-
Line 600: Line 815:
|714.244
|714.244
|Close to [[42edo]].
|Close to [[42edo]].
|-
|[[-11/19-comma meantone]]
|714.406
|
|-
|-
|[[-7/12-comma meantone]]
|[[-7/12-comma meantone]]
Line 621: Line 840:
|
|
|-
|-
|[[Negative Golden ratio comma meantone]]
|[[Negative Golden ratio-comma meantone]]
|715.247
|
|
|-
|[[-13/21-comma meantone]]
|715.268
|
|
|-
|-
Line 628: Line 851:
|715.396
|715.396
|Close to [[52edo]].
|Close to [[52edo]].
|-
|[[-12/19-comma meantone]]
|715.538
|
|-
|-
|[[-7/11-comma meantone]]
|[[-7/11-comma meantone]]
Line 691: Line 918:
|[[-11/15-comma meantone]]
|[[-11/15-comma meantone]]
|717.726
|717.726
|
|-
|[[-14/19-comma meantone]]
|717.802
|
|
|-
|-
Line 696: Line 927:
|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]]
|718.341
|
|-
|-
|[[-13/17-comma meantone]]
|[[-13/17-comma meantone]]
Line 711: Line 946:
|[[-11/14-comma meantone]]
|[[-11/14-comma meantone]]
|718.853
|718.853
|
|-
|[[-15/19-comma meantone]]
|718.934
|
|
|-
|-
|[[-4/5-comma meantone]]
|[[-4/5-comma meantone]]
|719.160
|719.160
|
|-
|[[-17/21-comma meantone]]
|719.365
|
|
|-
|-
Line 745: Line 988:
|[[-11/13-comma meantone]]
|[[-11/13-comma meantone]]
|720.153
|720.153
|
|-
|[[-17/20-comma meantone]]
|720.235
|
|
|-
|-
|[[-6/7-comma meantone]]
|[[-6/7-comma meantone]]
|720.399
|720.399
|
|-
|[[-19/22-comma meantone]]
|720.529
|
|
|-
|-
Line 765: Line 1,016:
|[[-8/9-comma meantone]]
|[[-8/9-comma meantone]]
|721.017
|721.017
|
|-
|[[-17/19-comma meantone]]
|721.197
|
|
|-
|-
|[[-9/10-comma meantone]]
|[[-9/10-comma meantone]]
|721.311
|721.311
|
|-
|[[-19/21-comma meantone]]
|721.413
|
|
|-
|-
Line 801: Line 1,060:
|[[-17/18-comma meantone]]
|[[-17/18-comma meantone]]
|722.266
|722.266
|
|-
|[[-18/19-comma meantone]]
|722.329
|
|-
|[[-19/20-comma meantone]]
|722.386
|
|-
|[[-20/21-comma meantone]]
|722.437
|
|-
|[[-21/22-comma meantone]]
|722.484
|
|
|-
|-
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Table_of_n-comma_meantone_generators"