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Interval information
Ratio 55/52
Factorization 2-2 × 5 × 11 × 13-1
Monzo [-2 0 1 0 1 -1
Size in cents 97.103994¢
Names Studnička semitone,
Studnička comma
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

55/52, the Studnička semitone or Studnička comma, is a 13-limit semitone measuring roughly 97.1 cents. It is named after asteroid 5552, Studnička.

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.