325/324

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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]\text{P1}^{5,5,13}[/math]
Special properties superparticular,
reduced
Tenney height (log2 n⋅d) 16.6841
Weil height (max(n, d)) 325
Benedetti height (n⋅d) 105300
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.

See also