4375/4374

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
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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

• Ragismic family – the rank-3 family where it is tempered out
• Ragismic microtemperaments – a collection of rank-2 temperaments where it is tempered out
• Unnoticeable comma
• List of superparticular intervals