55/52: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = Studnička semitone, Studnička comma
| Comma = yes
| Comma = yes
| Color name = 3u1oy1, thuloyo unison
| Color name = 3u1oy1, thuloyo unison
}}
}}


'''55/52''', the '''Studnička semitone''' or '''Studnička comma''', is a [[13-limit]] semitone measuring roughly 97.1 [[cent]]s. It is named after asteroid 5552, Studnička.
'''55/52''' is a [[13-limit]] semitone measuring roughly 97.1 [[cent]]s.  


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 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]].  

Revision as of 06:12, 15 October 2024

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
Comma size medium
Open this interval in xen-calc

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.