37/22: Difference between revisions

Eliora (talk | contribs)
Theory: it is convergent
ArrowHead294 (talk | contribs)
mNo edit summary
 
(5 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{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, being a convergent.
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