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 ?
Color name	3u1oy1, thuloyo unison
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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.2954 bits
Comma size	medium
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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 may act as a type of chroma when not equated with other intervals, due to separating two interval qualities.