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]]) | 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. | ||
Revision as of 04:31, 2 June 2022
| Interval information |
reduced
The marveltwin comma, 325/324, is a 13-limit (also 2.3.5.13 subgroup) comma measuring about 5.3 ¢. Its significance is in that it can be expressed as (10/9)2/(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).
Tempering it out leads to the rank-five marveltwin temperament, which identifies 16/13 by two 10/9's stacked.