4375/4374

Revision as of 12:04, 3 April 2023 by Yourmusic Productions (talk | contribs) (Other important relationships that show why this comma turns up frequently in edos of many sizes.)
Interval information
Ratio 4375/4374
Factorization 2-1 × 3-7 × 54 × 7
Monzo [-1 -7 4 1
Size in cents 0.3957559¢
Name ragisma
Color name zy41, zoquadyo 1sn,
Zoquadyo comma
FJS name [math]\displaystyle{ \text{A1}^{5,5,5,5,7} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 24.1898
Weil height (log2 max(n, d)) 24.1901
Wilson height (sopfr(nd)) 50
Comma size unnoticeable
S-expression S25 / S27
Open this interval in xen-calc

4375/4374, the ragisma, being the difference between a stack of two large limmas and 7/6, is a 7-limit unnoticeable comma. It is the smallest 7-limit superparticular ratio. It is tempered out in ragismic microtemperaments. 4375/4374 is also equal to (25/18)2/(27/14) and the difference between a kleisma and a marvel comma.

See also