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

![[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 [[85edo]]

![[7/15-comma meantone]]!!691.919!!

![[6/13-comma meantone]]!!692.029!!

![[5/11-comma meantone]]!!692.179!!

![[4/9-comma meantone]]!!692.397!!Close to [[26edo]]

![[7/16-comma meantone]]!!692.546!!

![[3/7-comma meantone]]!!692.738!!

![[5/12-comma meantone]]!!692.994!!Close to [[71edo]]

![[7/17-comma meantone]]!!693.099!!

![[2/5-comma meantone]]!!693.352!!Close to [[45edo]]

![[7/18-comma meantone]]!!693.591!!

![[5/13-comma meantone]]!!693.683!!

![[Split Golden ratio comma meantone]]  

!693.740

!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!!

![[6/17-comma meantone]]!!694.365!!

![[7/20-comma meantone]]

!694.428

![[8/23-comma meantone]]

!694.475

![[9/26-comma meantone]]

!694.511

![[1/3-comma meantone]]!!694.786!!Close to [[19edo]]. Historically significant (see [[historical temperaments]]).

![[5/16-comma meantone]]!!695.234!!

![[4/13-comma meantone]]!!695.338!!

![[3/10-comma meantone]]!!695.503!!Close to [[88edo]]

![[5/17-comma meantone]]!!695.630!!Close to [[69edo]].

![[7/24-comma meantone]]

!695.682

![[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]]).

![[3/11-comma meantone]]!!696.090!!

![[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]]

![[Quarter-comma meantone|1/4-comma meantone]]!!696.578!!Close to [[31edo]]. Historically significant (see [[historical temperaments]]).

![[4/17-comma meantone]]!!696.895!!

![[3/13-comma meantone]]!!696.992!!Close to [[7-limit|septimal]] & [[tridecimal]] meantone [[CTE]] tunings.

![[2/9-comma meantone]]!!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]]).

![[1/5-comma meantone]]!!697.654!!Close to [[43edo]]. Historically significant (see [[historical temperaments]]).

![[3/16-comma meantone]]!!697.923!!

![[2/11-comma meantone]]!!698.045!!Close to [[55edo]]. Historically significant (see [[historical temperaments]]).

![[3/17-comma meantone]]!!699.425!!

![[1/6-comma meantone]]!!698.371!!Historically significant (see [[historical temperaments]]).

![[4/25-comma meantone]]!!698.514!!Close to [[67edo]].  

![[3/19-comma meantone]]

!698.559

![[2/13-comma meantone]]!!698.646!! Close to [[79edo]].

![[1/7-comma meantone]]!!698.883!!Close to [[91edo]]. Historically significant (see [[historical temperaments]]).

![[2/15-comma meantone]]!!699.088!!

![[1/8-comma meantone]]!!699.267!!

![[2/17-comma meantone]]!!699.425!!

![[1/9-comma meantone]]!!699.565!!

![[1/10-comma meantone]]!!699.804!!

![[1/11-comma meantone]]!!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]].)

![[1/12-comma meantone]]!!700.163!!Everything from this point onwards generates 12 and 17 tone MOS scales.

![[1/13-comma meantone]]!!700.301!!

![[1/14-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]].)  Everything from this point onwards does not meet the original historical definition of meantone (the whole tone being between 10/9 and 9/8).

![[-1/18-comma meantone]]

!703.150

![[-1/17-comma meantone]]

!703.220

![[-1/16-comma meantone]]

!703.299

![[-1/15-comma meantone]]

!703.389

!Close to 11/13 third-[[kleisma]] temperament.

![[-1/14-comma meantone]]

!703.491

!Close to [[29edo]].

![[-1/13-comma meantone]]

!703.609

![[-1/12-comma meantone]]

!703.747

![[-1/11-comma meantone]]

!703.910

!About as sharp of [[Pythagorean tuning]] as [[12edo]] is flat.

![[-1/10-comma meantone]]

!704.105

![[-1/9-comma meantone]]

!704.344

!Close to [[46edo]], 11/7 quarter-kleisma temperament.

![[-2/17-comma meantone]]

!704.483

![[-1/8-comma meantone]]

!704.643

![[-2/15-comma meantone]]

!704.823

!Close to [[63edo]].

![[-1/7-comma meantone]]

!705.027

!Close to [[80edo]].

![[-2/13-comma meantone]]

!705.350

![[-3/19-comma meantone]]

!705.350

![[-4/25-comma meantone]]

!705.396

![[-1/6-comma meantone]]

!705.538

![[-3/17-comma meantone]]

!705.750

!About as sharp of [[Pythagorean tuning]] as [[55edo]] is flat.

![[-2/11-comma meantone]]

!705.865

!Everything up to this point generates 17 and 29 tone MOS scales.

![[17edo]]

!705.882

!Vaguely resembles Middle Eastern neutral third scales.

![[-3/16-comma meantone]]

!705.987

!Everything from this point onwards generates 17 and 22 tone MOS scales.

![[-1/5-comma meantone]]

!706.256

!About as sharp of [[Pythagorean tuning]] as [[43edo]] is flat.

![[-3/14-comma meantone]]

!706.563

![[-2/9-comma meantone]]

!706.734

![[-3/13-comma meantone]]

!706.918

![[-4/17-comma meantone]]

!707.015

!About as sharp of [[Pythagorean tuning]] as [[74edo]] is flat.

![[Negative Quarter-comma meantone]]

!707.332

![[-4/15-comma meantone]]

!707.690

!About as sharp of [[Pythagorean tuning]] as [[Golden meantone]] is flat.

![[-7/26-comma meantone]]

!707.745

![[-3/11-comma meantone]]

!707.820

!Almost exactly -1/4-''Pythagorean'' comma meantone

![[-5/18-comma meantone]]

!707.930

!About as sharp of [[Pythagorean tuning]] as [[50edo]] is flat. Close to [[86edo|100edo]]

![[-2/7-comma meantone]]

!708.100

![[-7/24-comma meantone]]

!708.227

![[-5/17-comma meantone]]

!708.280

![[-3/10-comma meantone]]

!708.407

!About as sharp of [[Pythagorean tuning]] as [[19edo|Lucy tuning]] is flat. Nearly as sharp of [[Pythagorean tuning]] as [[88edo]] is flat.

![[-4/13-comma meantone]]

!708.572

![[-5/16-comma meantone]]

!708.675

![[-1/3-comma meantone]]

!709.124

!Close to [[22edo]]. About as sharp of [[Pythagorean tuning]] as [[19edo]] is flat.

![[-9/26-comma meantone]]

!709.399

![[-8/23-comma meantone]]

!709.435

![[-7/20-comma meanetone]]

!709.482

![[-6/17-comma meantone]]

!709.545

![[-5/14-comma meantone]]

!709.636

!Close to [[93edo]]

![[-4/11-comma meantone]]

!709.775

!Almost exactly -1/3-''Pythagorean'' comma meantone.

![[-3/8-comma meantone]]

!710.019

![[Negative Split Golden ratio comma meantone]]

!710.170

![[-5/13-comma meantone]]

!710.227

!Close to [[49edo]].

![[-7/18-comma meantone]]

!710.319

![[-2/5-comma meantone]]

!710.558

![[-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

![[-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]]. Everything from this point onwards does not meet the negative harmonic definition of meantone (the whole tone being between 9/8 and 729/640).