55/52: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Comma = yes
| Ratio = 55/52
| Color name = 3u1oy1, thuloyo unison
| Monzo = -2 0 1 0 0 1 -1
| Cents = 97.10399
| Name =  
| Color name =  
| FJS name = A1<sup>55</sup><sub>13</sub>
| Sound =
}}
}}


'''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 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.
'''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 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.


[[Category:13-limit]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Chroma]]
[[Category:Chroma]]

Latest revision as of 17:01, 14 April 2025

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 may act as a type of chroma when not equated with other intervals, due to separating two interval qualities.

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