53/32: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 53/32
| Monzo = -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
| Cents = 873.50455
| Name = octave-reduced 53rd harmonic
| Name = octave-reduced 53rd harmonic
| Color name = 53o sixth, 53o6
| Color name = 53o6, fitho sixth
| Sound =  
| Sound = Ji-53-32-csound-foscil-220hz.mp3
}}
}}


'''53/32''' is the prime harmonic 53 octave-reduced. It is close to the [[11edo]] (and [[22edo]]) interval of 872.727272 cents.
'''53/32''' is the [[octave reduction|octave-reduced]] 53rd [[harmonic]]. It is flat of the [[27/16|Pythagorean major sixth (27/16)]] by [[54/53]].  


[[Category:Interval]][[Category:Sixth]][[Category:Major sixth]]
== Approximation ==
This interval is close to the [[11edo]] (and [[22edo]]) interval of 872.727 cents.
 
[[Category:Sixth]]
[[Category:Major sixth]]

Latest revision as of 07:39, 3 January 2025

Interval information
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]\displaystyle{ \text{M6}^{53} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 10.7279
Weil norm (log2 max(n, d)) 11.4558
Wilson norm (sopfr(nd)) 63

[sound info]
Open this interval in xen-calc

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.