Xenharmonic Wiki

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

← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,265 edits
mNo edit summary
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,265 edits
mNo edit summary
Line 40: Line 40:
|[[7/9-comma meantone]]||685.228||  
|[[7/9-comma meantone]]||685.228||  
|-
|-
|[[10/13-comma meantone]]||685.412||  
|[[10/13-comma meantone]]||685.412||Everything up to this point generates 9 and 16 tone MOS scales.
|-
|-
|[[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
|[[7edo]]||695.714||The largest MOS scale this can generate is 7 tone.
|-
|-
|[[3/4-comma meantone]]||685.825||  
|[[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||
|-
|-
|[[8/11-comma meantone]]||686.314||  
|[[8/11-comma meantone]]||686.314||
|-
|-
|[[5/7-comma meantone]]||686.593||  
|[[5/7-comma meantone]]||686.593||  
Line 82: Line 82:
|[[7/13-comma meantone]]||690.375||  
|[[7/13-comma meantone]]||690.375||  
|-
|-
|[[8/15-comma meantone]]||690.485||  
|[[8/15-comma meantone]]||690.485||Close to [[33edo]]
|-
|-
|[[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
|[[1/2-comma meantone]]||691.202||Close to [[92edo]], [[59edo]]. Historically significant (see [[historical temperaments]]. Everything up to this point does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).
|-
|-
|[[7/15-comma meantone]]||691.919||  
|[[7/15-comma meantone]]||691.919||Close to [[85edo]]
|-
|-
|[[6/13-comma meantone]]||692.029||  
|[[6/13-comma meantone]]||692.029||  
Line 92: Line 92:
|[[5/11-comma meantone]]||692.179||  
|[[5/11-comma meantone]]||692.179||  
|-
|-
|[[4/9-comma meantone]]||692.397||  
|[[4/9-comma meantone]]||692.397||Close to [[26edo]]
|-
|-
|[[7/16-comma meantone]]||692.546||  
|[[7/16-comma meantone]]||692.546||  
Line 98: Line 98:
|[[3/7-comma meantone]]||692.738||  
|[[3/7-comma meantone]]||692.738||  
|-
|-
|[[5/12-comma meantone]]||692.994||  
|[[5/12-comma meantone]]||692.994||Close to [[71edo]]
|-
|-
|[[2/5-comma meantone]]||693.352||  
|[[7/17-comma meantone]]||693.099||
|-
|-
|[[5/13-comma meantone]]||693.683||  
|[[2/5-comma meantone]]||693.352||Close to [[45edo]]
|-
|-
|[[3/8-comma meantone]]||693.89||  
|[[7/18-comma meantone]]||693.591||  
|-
|-
|[[4/11-comma meantone]]||694.134||  
|[[5/13-comma meantone]]||693.683||Close to [[64edo]]
|-
|[[3/8-comma meantone]]||693.890||Close to [[83edo]]
|-
|[[4/11-comma meantone]]||694.134||Almost exactly 1/3 ''Pythagorean'' comma meantone
|-
|-
|[[5/14-comma meantone]]||694.274||  
|[[5/14-comma meantone]]||694.274||  
|-
|-
|[[1/3-comma meantone]]||694.786||  
|[[6/17-comma meantone]]||694.365||
|-
|[[1/3-comma meantone]]||694.786||Close to [[19edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[5/16-comma meantone]]||695.234||  
|[[5/16-comma meantone]]||695.234||  
Line 116: Line 122:
|[[4/13-comma meantone]]||695.338||  
|[[4/13-comma meantone]]||695.338||  
|-
|-
|[[3/10-comma meantone]]||695.503||  
|[[3/10-comma meantone]]||695.503||Close to [[88edo]]
|-
|[[5/17-comma meantone]]||695.630||
|-
|[[2/7-comma meantone]]||695.810||Close to [[69edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[5/18-comma meantone]]||695.981||Close to [[50edo]]. Historically significant (see [[historical temperaments]]).
|-
|[[3/11-comma meantone]]||696.090||Close to [[50edo]]
|-
|-
|[[2/7-comma meantone]]||695.81||  
|[[7/26-comma meantone]]||696.165||Close to [[golden meantone]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/11-comma meantone]]||696.09||  
|[[4/15-comma meantone]]||696.22||Close to [[81edo]], close to [[golden meantone]]
|-
|-
|[[4/15-comma meantone]]||696.22||  
|[[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||  
|[[4/17-comma meantone]]||696.895||
|-
|-
|[[3/13-comma meantone]]||696.992||  
|[[3/13-comma meantone]]||696.992||Close to septimal & tridecimal CTE tunings.
|-
|-
|[[2/9-comma meantone]]||697.176||  
|[[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||  
|[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[1/5-comma meantone]]||697.654||  
|[[1/5-comma meantone]]||697.654||Close tp [[43edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[3/16-comma meantone]]||697.923||  
|[[3/16-comma meantone]]||697.923||  
|-
|-
|[[2/11-comma meantone]]||698.045||  
|[[2/11-comma meantone]]||698.045||Close to [[55edo]]
|-
|[[3/17-comma meantone]]||699.425||
|-
|[[1/6-comma meantone]]||698.371||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[1/6-comma meantone]]||698.371||  
|[[4/25-comma meantone]]||698.514||Close to [[67edo]]. Historically significant (see [[historical temperaments]]).
|-
|-
|[[2/13-comma meantone]]||698.646||  
|[[2/13-comma meantone]]||698.646||  
|-
|-
|[[1/7-comma meantone]]||698.883||  
|[[1/7-comma meantone]]||698.883||Close to [[79edo]], [[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||
|-
|-
|[[1/9-comma meantone]]||699.565||  
|[[1/9-comma meantone]]||699.565||  
Line 152: Line 172:
|[[1/10-comma meantone]]||699.804||  
|[[1/10-comma meantone]]||699.804||  
|-
|-
|[[1/11-comma meantone]]||700.000||
|[[1/11-comma meantone]]||700.000||Everything up to this point generates 12 and 19 tone MOS scales.
|-
|-
|[[12edo]]||700.000||Everything from this point onwards does not generate a 19-tone MOS scale, but everything before this point does
[[12edo]]||700.000||The largest MOS scale this can generate is 12 tone.
|-
|-
|[[1/12-comma meantone]]||700.163||  
|[[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||  
Line 166: Line 186:
|[[1/16-comma meantone]]||700.611||  
|[[1/16-comma meantone]]||700.611||  
|-
|-
|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), but everything before this point does
|[[1/17-comma meantone]]||700.690||
|-
|[[1/18-comma meantone]]||700.760||
|-
|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).
|}
|}
[[Category:Tables]][[Category:Meantone]]
[[Category:Tables]][[Category:Meantone]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Table_of_n-comma_meantone_generators"