31/25

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 31/25
Subgroup monzo 5.31 [-2 1
Size in cents 372.4081¢
Name tricesimoprimal submajor third
Color name 31ogg3, thiwogugu 3rd
FJS name [math]\displaystyle{ \text{m3}^{31}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.59805
Weil height (log2 max(n, d)) 9.90839
Wilson height (sopfr(nd)) 41
Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
~4.16583 bits
Open this interval in xen-calc

In 31-limit just intonation, 31/25 is the tricesimoprimal submajor third. It is flat of the Pythagorean major third (81/64) by 2025/1984 (~35 ¢), and flat of the classical major third (5/4) by 125/124 (~13.9 ¢).

See also