364/363: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = minor minthma, minor gentle comma | |||
| Color name = 3o1uuz2, tholuluzo 2nd,<br>Tholuluzo comma | |||
| Comma = yes | |||
| Name = gentle comma | |||
| Color name = | |||
| | |||
}} | }} | ||
'''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 == | |||
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 == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category: | [[Category:Minor minthmic]] | ||
[[Category: | [[Category:Commas with unknown etymology]] | ||
[[Category: | [[Category:Commas named for the intervals they stack]] | ||