59/32

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Interval information
Ratio 59/32
Subgroup monzo 2.59 [-5 1
Size in cents 1059.172¢
Name octave-reduced 59th harmonic
Color name 59o7, fino seventh
FJS name [math]\text{M7}^{59}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.8826
Weil height (log2 max(n, d)) 11.7653
Wilson height (sopfr(nd)) 69
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22292 bits

[sound info]
Open this interval in xen-calc

59/32 is the octave-reduced 59th harmonic. It is sharp of the Pythagorean minor seventh (16/9) by 531/512, and flat of the Pythagorean major seventh (243/128) by 243/236.

Approximation

This interval is close to the 17edo interval of 1058.82 cents.