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!Temperament!!Generator (cents)!!Comments
!Temperament!!Generator (cents)!!Comments
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|1/1-comma “meantone” (actually [[mavila]])||680.449||Not meantone but included for reference
|1/1-comma meantone||680.449||  
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|[[7edo]]||685.714||Not meantone. It and anything flatter than it cannot generate a 12-tone MOS.
|[[15/16-comma meantone]]||681.793||  
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|[[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.
|[[14/15-comma meantone]]||681.883||  
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|[[11/15-comma meantone]]||686.184||Whole tone not between 10/9 and 9/8
|[[13/14-comma meantone]]||681.985||  
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|[[8/11-comma meantone]]||686.314||Whole tone not between 10/9 and 9/8
|[[12/13-comma meantone]]||682.103||  
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|[[5/7-comma meantone]]||686.593||Whole tone not between 10/9 and 9/8
|[[11/12-comma meantone]]||682.241||  
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|[[7/10-comma meantone]]||686.901||Whole tone not between 10/9 and 9/8
|[[12/11-comma meantone]]||682.404||  
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|[[9/13-comma meantone]]||687.066||Whole tone not between 10/9 and 9/8
|[[9/10-comma meantone]]||682.599||  
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|[[11/16-comma meantone]]||687.169||Whole tone not between 10/9 and 9/8
|[[8/9-comma meantone]]||682.838||  
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|[[2/3-comma meantone]]||687.617||Whole tone not between 10/9 and 9/8
|[[7/8-comma meantone]]||683.137||  
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|[[9/14-comma meantone]]||688.129||Whole tone not between 10/9 and 9/8
|[[13/15-comma meantone]]||683.316||  
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|[[7/11-comma meantone]]||688.269||Whole tone not between 10/9 and 9/8
|[[6/7-comma meantone]]||683.521||  
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|[[5/8-comma meantone]]||688.514||Whole tone not between 10/9 and 9/8
|[[11/13-comma meantone]]||683.757||  
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|[[8/13-comma meantone]]||688.72||Whole tone not between 10/9 and 9/8
|[[5/6-comma meantone]]||684.033||  
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|[[3/5-comma meantone]]||689.051||Whole tone not between 10/9 and 9/8
|[[9/11-comma meantone]]||684.359||  
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|[[7/12-comma meantone]]||689.41||Whole tone not between 10/9 and 9/8
|[[13/16-comma meantone]]||684.481||  
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|[[4/7-comma meantone]]||689.666||Whole tone not between 10/9 and 9/8
|[[4/5-comma meantone]]||684.75||  
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|[[9/16-comma meantone]]||689.858||Whole tone not between 10/9 and 9/8
|[[11/14-comma meantone]]||685.057||  
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|[[5/9-comma meantone]]||690.007||Whole tone not between 10/9 and 9/8
|[[7/9-comma meantone]]||685.228||  
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|[[6/11-comma meantone]]||690.224||Whole tone not between 10/9 and 9/8
|[[10/13-comma meantone]]||685.412||  
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|[[7/13-comma meantone]]||690.375||Whole tone not between 10/9 and 9/8
|[[7edo]]||695.714||Everything up to this point does not generate a 12-tone nor 19-tone MOS scale, but everything after this point does
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|[[8/15-comma meantone]]||690.485||Close to [[33edo]]. Whole tone not between 10/9 and 9/8
|[[3/4-comma meantone]]||685.825||  
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|[[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)
|[[11/15-comma meantone]]||686.184||  
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|[[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.
|[[8/11-comma meantone]]||686.314||  
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|[[6/13-comma meantone]]||692.029||  
|[[5/7-comma meantone]]||686.593||
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|[[7/10-comma meantone]]||686.901||
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|[[9/13-comma meantone]]||687.066||
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|[[11/16-comma meantone]]||687.169||
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|[[2/3-comma meantone]]||687.617||
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|[[9/14-comma meantone]]||688.129||
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|[[7/11-comma meantone]]||688.269||
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|[[5/8-comma meantone]]||688.514||
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|[[8/13-comma meantone]]||688.72||
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|[[3/5-comma meantone]]||689.051||
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|[[7/12-comma meantone]]||689.41||  
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|[[5/11-comma meantone]]||692.179||  
|[[4/7-comma meantone]]||689.666||  
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|[[4/9-comma meantone]]||692.397||Close to [[26edo]]
|[[9/16-comma meantone]]||689.858||  
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|[[7/16-comma meantone]]||692.546||  
|[[5/9-comma meantone]]||690.007||  
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|[[3/7-comma meantone]]||692.738||  
|[[6/11-comma meantone]]||690.224||  
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|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
|[[7/13-comma meantone]]||690.375||  
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|[[7/17-comma meantone]]||693.099||
|[[8/15-comma meantone]]||690.485||  
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|[[2/5-comma meantone]]||693.352||Close to [[45edo]]
|[[1/2-comma meantone]]||691.202||Everything up to this point does not meet the historical definition of “meantone” (the whole tone being in between 10/9 and 9/8), but everything after this point does
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|[[7/18-comma meantone]]||693.591||  
|[[7/15-comma meantone]]||691.919||  
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|[[5/13-comma meantone]]||693.683||Close to [[64edo]]
|[[6/13-comma meantone]]||692.029||  
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|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|[[5/11-comma meantone]]||692.179||  
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|[[4/11-comma meantone]]||694.134||Almost exactly 1/3 ''Pythagorean'' comma meantone
|[[4/9-comma meantone]]||692.397||  
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|[[5/14-comma meantone]]||694.274||  
|[[7/16-comma meantone]]||692.546||  
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|[[6/17-comma meantone]]||694.365||
|[[3/7-comma meantone]]||692.738||  
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|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|[[5/12-comma meantone]]||692.994||  
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|[[5/16-comma meantone]]||695.234||  
|[[2/5-comma meantone]]||693.352||  
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|[[4/13-comma meantone]]||695.338||  
|[[5/13-comma meantone]]||693.683||  
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|[[3/10-comma meantone]]||695.503||Close to [[88edo]]
|[[3/8-comma meantone]]||693.89||  
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|[[5/17-comma meantone]]||695.630||
|[[4/11-comma meantone]]||694.134||  
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|[[2/7-comma meantone]]||695.810||Close to [[69edo]]. Historically significant (see [[historical temperaments]]).
|[[5/14-comma meantone]]||694.274||  
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|[[5/18-comma meantone]]||695.981||Close to [[50edo]]. Historically significant (see [[historical temperaments]]).
|[[1/3-comma meantone]]||694.786||  
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|[[3/11-comma meantone]]||696.090||Close to [[50edo]]
|[[5/16-comma meantone]]||695.234||  
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|[[7/26-comma meantone]]||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|[[4/13-comma meantone]]||695.338||  
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|[[4/15-comma meantone]]||696.22||Close to [[81edo]], close to [[golden meantone]]
|[[3/10-comma meantone]]||695.503||  
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|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||Close to [[31edo]]. Historically significant (see [[historical temperaments]]).
|[[2/7-comma meantone]]||695.81||  
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|[[4/17-comma meantone]]||696.895||
|[[3/11-comma meantone]]||696.09||  
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|[[3/13-comma meantone]]||696.992||Close to septimal & tridecimal CTE tunings.
|[[4/15-comma meantone]]||696.22||  
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|[[2/9-comma meantone]]||697.176||Close to 5-limit and undecimal CTE tunings. Historically significant (see [[historical temperaments]]).
|[[Quarter-comma meantone|1/4-comma meantone]]||696.578||  
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|[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]).
|[[3/13-comma meantone]]||696.992||  
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|[[1/5-comma meantone]]||697.654||Close tp [[43edo]]. Historically significant (see [[historical temperaments]]).
|[[2/9-comma meantone]]||697.176||  
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|[[3/16-comma meantone]]||697.923||  
|[[3/14-comma meantone]]||697.346||  
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|[[2/11-comma meantone]]||698.045||Close to [[55edo]]
|[[1/5-comma meantone]]||697.654||  
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|[[3/17-comma meantone]]||699.425||
|[[3/16-comma meantone]]||697.923||  
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|[[1/6-comma meantone]]||698.371||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|[[2/11-comma meantone]]||698.045||  
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|[[4/25-comma meantone]]||698.514||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|[[1/6-comma meantone]]||698.371||  
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|[[2/13-comma meantone]]||698.646||  
|[[2/13-comma meantone]]||698.646||  
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|[[1/7-comma meantone]]||698.883||Close to [[79edo]], [[91edo]]. Historically significant (see [[historical temperaments]]).
|[[1/7-comma meantone]]||698.883||  
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|[[2/15-comma meantone]]||699.088||  
|[[2/15-comma meantone]]||699.088||  
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|[[1/8-comma meantone]]||699.267||  
|[[1/8-comma meantone]]||699.267||  
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|[[2/17-comma meantone]]||699.425||
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|[[1/9-comma meantone]]||699.565||  
|[[1/9-comma meantone]]||699.565||  
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|[[1/10-comma meantone]]||699.804||  
|[[1/10-comma meantone]]||699.804||  
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|[[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.
|[[1/11-comma meantone]]||700.000||
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|[[1/12-comma meantone]]||700.163||No 19-tone MOS
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|[[1/13-comma meantone]]||700.301||No 19-tone MOS
|[[12edo]]||700.000||Everything from this point onwards does not generate a 19-tone MOS scale, but everything before this point does
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|[[1/14-comma meantone]]||700.419||No 19-tone MOS
|[[1/12-comma meantone]]||700.163||  
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|[[1/15-comma meantone]]||700.521||No 19-tone MOS
|[[1/13-comma meantone]]||700.301||  
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|[[1/16-comma meantone]]||700.611||No 19-tone MOS
|[[1/14-comma meantone]]||700.419||  
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|[[1/17-comma meantone]]||700.690||No 19-tone MOS
|[[1/15-comma meantone]]||700.521||  
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|[[1/18-comma meantone]]||700.760||No 19-tone MOS
|[[1/16-comma meantone]]||700.611||  
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|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.
|0/1-comma meantone ([[Pythagorean tuning]])||701.955||Everything from this point onwards does not meet the historical definition of “meantone” (the whole tone being in between 10/9 and 9/8)
|}
|}
[[Category:Tables]][[Category:Meantone]]
[[Category:Tables]][[Category:Meantone]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Table_of_n-comma_meantone_generators"