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 cents. Tempering it out leads to the rank-five [[Marveltwin|marveltwin temperament]], which identifies [[16/13]] by two [[10/9]]'s stacked. It is also the difference between [[27/26]] and [[25/24]].  
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. Tempering it out leads to the rank-five [[Marveltwin|marveltwin temperament]], which identifies [[16/13]] by two [[10/9]]'s stacked.


== See also ==
== See also ==

Revision as of 04:17, 12 May 2021

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

See also