364/363: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = minor minthma, minor gentle comma
| Ratio = 364/363
| Color name = 3o1uuz2, tholuluzo 2nd,<br>Tholuluzo comma
| Monzo = 2 -1 0 1 -2 1
| Comma = yes
| Cents = 4.7627
| Name = gentle comma
| Color name =
| FJS name = m2<sup>7, 13</sup><sub>121</sub>
| Sound =  
}}
}}
'''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]].


The '''gentle comma''', '''364/363''', is a [[13-limit]] no-5 [[comma]] measuring about 4.8 cents. 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]]. Tempering it out leads to the rank-five gentle temperament.  
== Commatic relations ==
In terms of commas, it is the difference between the following superparticular pairs:
* [[91/90]] and [[121/120]]
* [[243/242]] and [[729/728]]
* [[325/324]] and [[3025/3024]]
* [[351/350]] and [[9801/9800]]
* [[352/351]] and [[10648/10647]]
 
It factors into the following superparticular pairs:
* [[385/384]] and [[6656/6655]]
* [[441/440]] and [[2080/2079]]
 
Not to mention some nonsuperparticular but useful relations:
* [[676/675]] and [[1575/1573]]
 
== Temperaments ==
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 reason why the temperament was named “gentle” in the first place does not appear to be written down anywhere.
 
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.


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


[[Category:13-limit]]
[[Category:Minor minthmic]]
[[Category:Comma]]
[[Category:Commas with unknown etymology]]
[[Category:Ratio]]
[[Category:Commas named for the intervals they stack]]
[[Category:Gentle]]
[[Category:Superparticular]]