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 | 97.103994¢ |
Names | Studnička semitone, Studnička comma |
Color name | 3u1oy1, thuloyo unison |
FJS name | [math]\text{A1}^{5,11}_{13}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 11.4818 |
Weil height (log_{2} max(n, d)) | 11.5627 |
Wilson height (sopfr (nd)) | 33 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.65021 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.