364/363: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 364/363 | | Ratio = 364/363 | ||
| Monzo = 2 -1 0 1 -2 1 | | Monzo = 2 -1 0 1 -2 1 | ||
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| Sound = | | Sound = | ||
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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]]. | |||
In terms of commas, it can be characterized by ([[91/90]])/([[121/120]]), ([[243/242]])/([[729/728]]), ([[325/324]])/([[3025/3024]]), ([[351/350]])/([[9801/9800]]), or ([[352/351]])/([[10648/10647]]). It factors into ([[385/384]])([[6656/6655]]), ([[441/440]])([[2080/2079]]), or ([[676/675]])([[1575/1573]]) among many other options. | In terms of commas, it can be characterized by ([[91/90]])/([[121/120]]), ([[243/242]])/([[729/728]]), ([[325/324]])/([[3025/3024]]), ([[351/350]])/([[9801/9800]]), or ([[352/351]])/([[10648/10647]]). It factors into ([[385/384]])([[6656/6655]]), ([[441/440]])([[2080/2079]]), or ([[676/675]])([[1575/1573]]) among many other options. | ||
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== See also == | == See also == | ||
* [[Gentle chords]] | * [[Gentle chords]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Small commas]] | [[Category:Small commas]] | ||
[[Category: | [[Category:Superparticular]] | ||
[[Category:Gentle]] | [[Category:Gentle]] | ||
Revision as of 17:01, 7 April 2022
| Interval information |
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.
In terms of commas, it can be characterized by (91/90)/(121/120), (243/242)/(729/728), (325/324)/(3025/3024), (351/350)/(9801/9800), or (352/351)/(10648/10647). It factors into (385/384)(6656/6655), (441/440)(2080/2079), or (676/675)(1575/1573) among many other options.
Temperaments
Tempering out the gentle comma leads to a form of gentle temperament and enables gentle chords.