31/20: Difference between revisions

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{{Infobox Interval}}
{{Infobox Interval
31/20 is a [[31-limit]] (2.5.31 subgroup} semiaugmented 5th of about 759 [[Cent|cents]]. It is approximated very well by [[30edo]].
| Name = tricesimoprimal semiaugmented fifth, tricesimoprimal subminor sixth
| Color name = thiwogu 5th, 31og5
}}
In [[31-limit]] [[just intonation]], '''31/20''' is either the '''tricesimoprimal semiaugmented fifth''' or '''tricesimoprimal subminor sixth'''. It is flat of the [[128/81|Pythagorean minor sixth (128/81)]] by [[2560/2511]], and sharp of the [[3/2|perfect fifth (3/2)]] by [[31/30]]. It can be used as a [[generator]] tuning for the [[sensi]] temperament, especially for the [[5-limit]] [[sensipent]] temperament.  
 
== Approximation ==
31/20 is approximated very well by [[30edo]].
 
== See also ==
* [[40/31]] – its [[octave complement]]
* [[60/31]] – its [[twelfth complement]]
 
[[Category:Fifth]]
[[Category:Superfifth]]
[[Category:Sixth]]
[[Category:Subminor sixth]]
[[Category:Interseptimal intervals]]
[[Category:Cocytic]]

Latest revision as of 12:56, 27 April 2025

Interval information
Ratio 31/20
Subgroup monzo 2.5.31 [-2 -1 1
Size in cents 758.7219¢
Names tricesimoprimal semiaugmented fifth,
tricesimoprimal subminor sixth
Color name thiwogu 5th, 31og5
FJS name [math]\displaystyle{ \text{P5}^{31}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.27612
Weil norm (log2 max(n, d)) 9.90839
Wilson norm (sopfr(nd)) 40
Open this interval in xen-calc

In 31-limit just intonation, 31/20 is either the tricesimoprimal semiaugmented fifth or tricesimoprimal subminor sixth. It is flat of the Pythagorean minor sixth (128/81) by 2560/2511, and sharp of the perfect fifth (3/2) by 31/30. It can be used as a generator tuning for the sensi temperament, especially for the 5-limit sensipent temperament.

Approximation

31/20 is approximated very well by 30edo.

See also