325/324
(Redirected from Marveltwin comma)
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Ratio | 325/324 |
Factorization | 2^{-2} × 3^{-4} × 5^{2} × 13 |
Monzo | [-2 -4 2 0 0 1⟩ |
Size in cents | 5.335086¢ |
Name | marveltwin comma |
Color name | 3oyy1, thoyoyo 1sn, Thoyoyo comma |
FJS name | [math]\text{P1}^{5,5,13}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 16.6841 |
Weil height (log_{2} max(n, d)) | 16.6886 |
Wilson height (sopfr (nd)) | 39 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.52039 bits |
Comma size | small |
S-expressions | S25 × S26, S10 / S12 |
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), (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.