55/52: Difference between revisions

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'''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]], and as the difference between [[11/8]] and [[13/10]].  It differs from the more familiar [[18/17]] by [[936/935]]- an [[unnoticeable comma]].
'''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 more familiar [[18/17]] by [[936/935]]- an [[unnoticeable comma]].


[[Category:Todo]]
[[Category:Todo]]

Revision as of 00:09, 29 December 2020

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 ? 
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
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 the difference between 13/8 and 55/32. It differs from the more familiar 18/17 by 936/935- an unnoticeable comma.