37/22

Interval information

Ratio	37/22
Subgroup monzo	2.11.37 [-1 -1 1⟩
Size in cents	900.0261¢
Names	tricesimoseptimal major sixth, tricesimoseptimal 3/4-octave
Color name	37o1u7, thisolu 7th
FJS name	[math]\displaystyle{ \text{M6}^{37}_{11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.66888
Weil height (log2 max(n, d))	10.4189
Wilson height (sopfr(nd))	50
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.15695 bits
Open this interval in xen-calc

37/22, the tricesimoseptimal major sixth or tricesimoseptimal 3/4-octave is a 37-limit (specifically 2.11.37 subgroup) interval.

Theory

In logarithmic division, it is extremely close to three quarters of the octave, being a convergent.

See also

• 44/37 – its octave complement