325/324: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 325/324
| Ratio = 325/324
| Monzo = -2 -4 2 0 0 1
| Monzo = -2 -4 2 0 0 1
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| Sound =  
| Sound =  
}}
}}
 
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 cents. 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.  


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]]).  
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* [[Marveltwin]]
* [[Marveltwin]]
* [[Marveltwin triad]]
* [[Marveltwin triad]]
* [[Comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Small commas]]
[[Category:Small commas]]
[[Category:Ratio]]
[[Category:Superparticular]]
[[Category:Marveltwin]]
[[Category:Marveltwin]]
[[Category:Superparticular]]
 
{{todo|add color name}}

Revision as of 16:58, 7 April 2022

Interval information
Ratio 325/324
Factorization 2-2 × 3-4 × 52 × 13
Monzo [-2 -4 2 0 0 1
Size in cents 5.335086¢
Name marveltwin comma
FJS name [math]\displaystyle{ \text{P1}^{25,13} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 16.6841
Weil height (log2 max(n, d)) 16.6886
Wilson height (sopfr(nd)) 39
Open this interval in xen-calc

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) and (25/24)/(27/26), 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.

See also