55/52

Interval information

Ratio

55/52

Factorization

2^-2 × 5 × 11 × 13^-1

Monzo

[-2 0 1 0 1 -1⟩

Size in cents

97.10399¢

Name(s)

missing^?

FJS name

[math]\displaystyle{ \text{A1}^{5,11}_{13} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

11.4818

Weil height (log₂ max(n, d))

11.5627

Wilson height (sopfr(nd))

33

Open this interval in xen-calc

55/52 is a 13-limit semitone measuring roughly 97.1 cents. It arises in 13-limit just intonation as the difference between 13/11 and 5/4, the difference between 13/10 and 11/8, and the difference between 13/8 and 55/32. It differs from the 18/17 semitone by 936/935 – an unnoticeable comma measuring about 1.85 cents. This interval acts as a type of chroma when not equated with other intervals.