59/32

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.22292 bits
[sound info]
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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.