364/363: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = minor minthma, minor gentle comma | |||
| Color name = 3o1uuzM, tholuluzoma | |||
| Comma = yes | |||
| Name = gentle comma | |||
| Color name = | |||
| | |||
}} | }} | ||
'''364/363''', the '''gentle comma''', is a [[13-limit]] no-5 [[ | '''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]]. | ||
In terms of commas, it | == 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 == | == Temperaments == | ||
Tempering out | 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 == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category: | [[Category:Minor minthmic]] | ||
[[Category: | [[Category:Commas named for the intervals they stack]] | ||
[[Category: | [[Category:Commas named for the generator of their temperament]] | ||
Latest revision as of 16:08, 17 July 2026
| Interval information |
minor gentle comma
reduced
364/363, the minor minthma or minor gentle comma, is a small 13-limit no-5 comma measuring about 4.8 ¢. 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:
Not to mention some nonsuperparticular but useful relations:
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 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 fifth, a mild version of the superpyth fifth.