34/31

Interval information

Ratio	34/31
Subgroup monzo	2.17.31 [1 1 -1⟩
Size in cents	159.9198¢
Name	tricesimoprimal neutral second
Color name	31u17o3, thiwuso 3rd
FJS name	[math]\displaystyle{ \text{d3}^{17}_{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.0417
Weil height (log2 max(n, d))	10.1749
Wilson height (sopfr(nd))	50
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.22952 bits
Open this interval in xen-calc

34/31 is a 31-limit ratio of about 160 cents. It is classified as a diminished third in FJS, but an augmented unison in HEJI. According to its size, it might also be considered a type of neutral or major second. It is very close to 2 steps of 15edo.

See also

• 31/17 – its octave complement