4375/4374

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Interval information
Ratio 4375/4374
Factorization 2-1 × 3-7 × 54 × 7
Monzo [-1 -7 4 1
Size in cents 0.39575587¢
Name ragisma
Color name zy41, zoquadyo 1sn,
Zoquadyo comma
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.44198 bits
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 (S252 * S26) and a marvel comma (S15 = S25 * S26 * S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = 7/6)/(27/25)2.

See also