364/363: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = gentle comma
| Name = minor minthma, minor gentle comma
| Color name = 3o1uuz2, tholuluzo 2nd,<br>Tholuluzo comma
| Color name = 3o1uuzM, tholuluzoma
| Comma = yes
| Comma = yes
}}
}}
'''364/363''', the '''gentle comma''', is a [[13-limit]] no-5 [[small comma]] measuring about 4.8{{cent}}. It is the amount by which an undecimal major third [[14/11]] and a tridecimal minor third [[13/11]] exceed a just perfect fifth [[3/2]].  
'''364/363''', the '''minor minthma''' or '''minor gentle comma''', is a [[small comma|small]] [[13-limit]] no-5 [[comma]] measuring about 4.8{{cent}}. It is the amount by which an undecimal major third [[14/11]] and a tridecimal minor third [[13/11]] exceed a just perfect fifth [[3/2]].  


== Commatic relations ==
== Commatic relations ==
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It factors into the following superparticular pairs:  
It factors into the following superparticular pairs:  
* ([[385/384]])([[6656/6655]])
* [[385/384]] and [[6656/6655]]
* ([[441/440]])([[2080/2079]])
* [[441/440]] and [[2080/2079]]


Not to mention some nonsuperparticular but useful relations:  
Not to mention some nonsuperparticular but useful relations:  
* ([[676/675]])([[1575/1573]])
* [[676/675]] and [[1575/1573]]


== Temperaments ==
== Temperaments ==
Tempering out the gentle comma leads to a form of '''gentle temperament''' and enables [[gentle chords]].  
Tempering out this comma leads to a form of '''minor minthmic temperament''' (full 13-limit rank-5) or '''minorminth temperament''' (2.3.7.11.13 subgroup rank-4), which enables [[minor minthmic chords]].
 
== History and etymology ==
This comma was known as the ''gentle comma'' from 2011. In 2022, [[Margo Schulter]] requested it should be changed to ''minor''/''lesser gentle comma'' to distinguish it from [[352/351]], which would gain the name ''major''/''greater gentle comma''.
 
The ''minor minthma'' was also added to this comma in contrast to the ''major minthma'' of 352/351. Both commas were essential to define the [[gentle]] temperament. Gentle was named for the [[gentle region|gentle fifth]], a mild version of the [[superpyth]] fifth.  


== See also ==
== See also ==
* [[Gentle chords]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Gentle]]
[[Category:Minor minthmic]]
[[Category:Commas named for the intervals they stack]]
[[Category:Commas named for the generator of their temperament]]