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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.  
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.  


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.
=== Preservation of meantone behavior ===
Temperaments that fall outside of the "[[Historical temperaments|historically considered meantone]]" range will not possess most of the properties that meantone usually possesses, but they are included for completeness.


== Scope ==
Temperaments that fall outside of the "[[diamond monotone]]" range preserve even fewer meantone properties, but they are also included for completeness.
 
=== Extra inclusions ===
A small number of additional temperaments are included. Not too many, to avoid clutter, just the bare minimum:  
A small number of additional temperaments are included. Not too many, to avoid clutter, just the bare minimum:  
* 7, 12, 17 and 5 [[edo]]s (to delineate [[MOS]] shapes)
* 7, 12, 17 and 5 [[edo]]s (to delineate small [[MOS]] shapes and boundaries of diamond monotone)
* any tunings listed under "[[historical temperaments]]" (e.g. 4/25-comma), ''but only the ones of the form "n-comma"''.  
* any tunings listed under "[[historical temperaments]]" (e.g. 4/25-comma), ''but only the ones of the form "n-comma"''.  


=== Characteristics included ===
Some of the characteristics this table mentions for each temperament include:
* Whether it saw historical (pre-1950) use
* Whether it is close to (i.e. within 1/2 a degree of closing of) an edo smaller than 100
* Whether it is the closest on the table to an optimised tuning of meantone (e.g. 7-limit [[CTE]])
* Whether it approximates a very simple n-[[Pythagorean comma]] meantone
* Whether it is about equally sharp of [[3/2]] as some other listed temperament is flat
* Whether it is close to exactly one [[just-noticeable difference]] away from 3/2
Occasional other comments may be included as well.
=== Characteristics omitted ===
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 (within 1/2 degree of closing) to some arbitrarily large [[EDO]], but labeling them beyond [[100edo]] would clutter the table.
Every tuning on this table is close 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 ==
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|[[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]].
|[[1/6-comma meantone|1/6-comma]] ||698.371||Historically significant (see [[historical temperaments]]). Everything up to this point has a fifth which is flat of [[Pythagorean tuning]] by at least the [[just-noticeable distance]].
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|[[4/25-comma meantone|4/25-comma]] ||698.514||Close to [[67edo]].
|[[4/25-comma meantone|4/25-comma]] ||698.514||Close to [[67edo]].
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|[[-1/6-comma meantone|-1/6-comma]]  
|[[-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 sharp of [[Pythagorean tuning]] by at least the [[just-noticeable difference]].
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|-
|[[-4/23-comma meantone|-4/23-comma]]   
|[[-4/23-comma meantone|-4/23-comma]]   
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[[Category:Tables]]
[[Category:Tables]]
[[Category:Meantone]]
[[Category:Meantone]]
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