37/22: Difference between revisions

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Created page with "{{Infobox Interval|Ratio=37/22}} 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 logarit..."
 
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{{Infobox Interval|Ratio=37/22}}
{{Infobox Interval
| Name = tricesimoseptimal major sixth, tricesimoseptimal 3/4-octave
| 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 (specifically 2.11.37 [[subgroup]]) interval.  


== Theory ==
== Theory ==
In logarithmic division, it is extremely close to three quarters of the octave.
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.
== See also ==
 
* [[44/37]] – its octave complement

Latest revision as of 17:17, 18 November 2024

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 (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