325/324: Difference between revisions

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The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 subgroup) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it can be expressed as ([[10/9]])<sup>2</sup>/([[16/13]]), ([[25/18]])/([[18/13]]) and ([[25/24]])/([[27/26]]), among other expressions.  
The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 subgroup) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it can be expressed as ([[10/9]])<sup>2</sup>/([[16/13]]), ([[25/18]])/([[18/13]]), ([[25/24]])/([[27/26]]) and ([[100/99]])/([[144/143]]), among other expressions.  


It factors into ([[625/624]])([[676/675]]), ([[385/384]])([[2080/2079]]), ([[364/363]])([[3025/3024]]), ([[352/351]])([[4225/4224]]), or ([[351/350]])([[4375/4374]]).  
It factors into ([[625/624]])([[676/675]]), ([[385/384]])([[2080/2079]]), ([[364/363]])([[3025/3024]]), ([[352/351]])([[4225/4224]]), or ([[351/350]])([[4375/4374]]).


Tempering it out leads to the rank-five [[Marveltwin|marveltwin temperament]], which identifies [[16/13]] by two [[10/9]]'s stacked.
Tempering it out leads to the rank-five [[Marveltwin|marveltwin temperament]], which identifies [[16/13]] by two [[10/9]]'s stacked.