37/22

Interval information

Ratio	37/22
Subgroup monzo	2.11.37 [-1 -1 1⟩
Size in cents	900.0261¢
Names	37-limit major sixth, 37-limit 3/4-octave
Color name	37o1u7, thisolu 7th
FJS name	[math]\displaystyle{ \text{M6}^{37}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.66888
Weil norm (log2 max(n, d))	10.4189
Wilson norm (sopfr(nd))	50
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37/22, the 37-limit major sixth or 37-limit 3/4-octave is a 37-limit, (also 2.11.37 subgroup) interval.

Theory

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

The 4320 & 5544 period-72 temperament in the 2.3.5.7.11.13.17.31.37 subgroup tunes both 11th and 37th harmonic to 25 generators down, thus tempering this interval to exact 3/4 of the octave.