37/22: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 37-limit major sixth, 37-limit 3/4-octave
| Name = tricesimoseptimal major sixth, tricesimoseptimal 3/4-octave
| Color name = 37o1u7, thisolu 7th  
| Color name = 37o1u7, thisolu 7th  
}}
}}


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


== Theory ==
== Theory ==

Revision as of 00:45, 12 July 2023

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 norm (log2 nd) 9.66888
Weil norm (log2 max(n, d)) 10.4189
Wilson norm (sopfr(nd)) 50
Open this interval in xen-calc

37/22, the tricesimoseptimal major sixth' or tricesimoseptimal 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.

See also

  • 44/37 - its octave complement