55/52
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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 ?
Color name
3u1oy1, thuloyo unison
FJS name
[math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2954 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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 so it appears as a whole interval in jacobin chords), 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.