37/22
Jump to navigation
Jump to search
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]\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]\sqrt{nd}[/math])
~4.15695 bits
open this interval in xen-calc
| Interval information |
tricesimoseptimal 3/4-octave
(Shannon, [math]\sqrt{nd}[/math])
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