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 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.
== 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 ==