32/31

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Interval information
Ratio 32/31
Subgroup monzo 2.31 [5 -1
Size in cents 54.964428¢
Names 31th subharmonic,
small tricesimoprimal quartertone
FJS name [math]\text{m2}_{31}[/math]
Special properties superparticular,
reduced,
reduced subharmonic
Tenney height (log2 n⋅d) 9.9542
Weil height (max(n, d)) 32
Benedetti height (n⋅d) 992
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.77378 bits

[sound info]
open this interval in xen-calc

32/31 is the small tricesimoprimal quartertone measuring about 55 ¢. It differs from 33/32, the undecimal quartertone, by 1024/1023 (approx. 1.69 ¢). It differs from 31/30, another tricesimoprimal quartertone, by 961/960 (approx. 1.80 ¢); they together make 16/15.

See also