325/324
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| 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.