325/324
| 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 |
| Color name | 3oyy1, thoyoyo 1sn, Thoyoyo comma |
| FJS name | [math]\text{P1}^{5,5,13}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 16.6841 |
| Weil height (log2 max(n, d)) | 16.6886 |
| Wilson height (sopfr (nd)) | 39 |
| 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.
Being a triangle superparticular, it factors neatly into (625/624)(676/675). Other factorizations are (385/384)(2080/2079), (364/363)(3025/3024), (352/351)(4225/4224), and (351/350)(4375/4374).
Temperaments
Tempering out this comma leads to the rank-5 marveltwin temperament, which identifies 16/13 by two 10/9's stacked and enables marveltwin chords. The most significant further temperament is to temper out 625/624 and/or 676/675, equating 26/25 with 25/24~27/26. This in the 2.3.5.13 subgroup is the rank-2 cata temperament.