31/18: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = tricesimoprimal ultramajor sixth, tricesimoprimal inframinor seventh
| Name = (lesser) tricesimoprimal ultramajor sixth, (lesser) tricesimoprimal inframinor seventh
| Color name = thiwo 6th, 31o6
}}
}}
In [[31-limit]] [[just intonation]], '''31/18''' is either the '''tricesimoprimal ultramajor sixth''' or '''tricesimoprimal inframinor seventh'''. It is sharp of the [[32/27|Pythagorean major sixth (27/16)]] by [[248/243]], and flat of the [[16/9|minor seventh (16/9)]] by [[32/31]].  
In [[31-limit]] [[just intonation]], '''31/18''' is either the '''tricesimoprimal ultramajor sixth''' or '''tricesimoprimal inframinor seventh'''. It is sharp of the [[32/27|Pythagorean major sixth (27/16)]] by [[248/243]], sharp of the [[12/7|septimal major sixth (12/7)]] by [[217/216]], and flat of the [[16/9|minor seventh (16/9)]] by [[32/31]].  


== See also ==
== See also ==

Latest revision as of 12:09, 27 April 2025

Interval information
Ratio 31/18
Subgroup monzo 2.3.31 [-1 -2 1
Size in cents 941.1256¢
Names (lesser) tricesimoprimal ultramajor sixth,
(lesser) tricesimoprimal inframinor seventh
Color name thiwo 6th, 31o6
FJS name [math]\displaystyle{ \text{M6}^{31} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.12412
Weil norm (log2 max(n, d)) 9.90839
Wilson norm (sopfr(nd)) 39
Open this interval in xen-calc

In 31-limit just intonation, 31/18 is either the tricesimoprimal ultramajor sixth or tricesimoprimal inframinor seventh. It is sharp of the Pythagorean major sixth (27/16) by 248/243, sharp of the septimal major sixth (12/7) by 217/216, and flat of the minor seventh (16/9) by 32/31.

See also