59/32
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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
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.