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 = 3o1uuz2, tholuluzo 2nd,<br>Tholuluzo comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''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]]. | ||
== Commatic relations == | == Commatic relations == | ||
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== Temperaments == | == Temperaments == | ||
Tempering out | Tempering out this comma leads to a form of '''minor minthmic temperament''' and 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. | |||
== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category: | [[Category:Minor minthmic]] | ||
Revision as of 13:43, 15 January 2024
| Interval information |
minor gentle comma
Tholuluzo 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 and 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.