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 (log2 nd) | 11.4818 |
| Weil height (log2 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.