37/32

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Interval information
Ratio 37/32
Subgroup monzo 2.37 [-5 1
Size in cents 251.344¢
Names octave-reduced 37th harmonic,
harmonic semifourth
Color name 37o3, thiso third
FJS name [math]\text{M2}^{37}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.2095
Weil height (log2 max(n, d)) 10.4189
Wilson height (sopfr(nd)) 47
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22579 bits

[sound info]
open this interval in xen-calc

37/32 is the octave-reduced 37th harmonic. It is intermediate in size between major seconds and minor thirds, and belongs to the interseptimal category of "semifourths". It is sharp of the Pythagorean major second (9/8) by 37/36, a quartertone of about 47.4 cents.

See also