364/363: Difference between revisions
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'''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 '''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]]. | ||
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]])([[6656/6655]]) | |||
* ([[441/440]])([[2080/2079]]) | |||
Not to mention some nonsuperparticular but useful relations: | |||
* ([[676/675]])([[1575/1573]]) | |||
== Temperaments == | == Temperaments == | ||
Revision as of 08:36, 15 January 2023
| Interval information |
Tholuluzo comma
reduced
364/363, the gentle comma, is a 13-limit no-5 small 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 the gentle comma leads to a form of gentle temperament and enables gentle chords.