53/32
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Ratio
53/32
Subgroup monzo
2.53 [-5 1⟩
Size in cents
873.5045¢
Name
octave-reduced 53rd harmonic
Color name
53o6, fitho sixth
FJS name
[math]\text{M6}^{53}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
10.7279
Weil height (log2 max(n, d))
11.4558
Wilson height (sopfr(nd))
63
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.06165 bits
[sound info]
open this interval in xen-calc
Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
53/32 is the octave-reduced 53rd harmonic. It is flat of the Pythagorean major sixth (27/16) by 54/53.
Approximation
This interval is close to the 11edo (and 22edo) interval of 872.727 cents.