31/27: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = tricesimoprimal ultramajor second, tricesimoprimal inframinor third
| Name = tricesimoprimal ultramajor second, tricesimoprimal inframinor third
| Color name = 31o2, thiwo 2nd
}}
}}
In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]].  
In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]].  

Revision as of 20:09, 24 September 2024

Interval information
Ratio 31/27
Subgroup monzo 3.31 [-3 1
Size in cents 239.1706¢
Names tricesimoprimal ultramajor second,
tricesimoprimal inframinor third
Color name 31o2, thiwo 2nd
FJS name [math]\displaystyle{ \text{M2}^{31} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.70908
Weil norm (log2 max(n, d)) 9.90839
Wilson norm (sopfr(nd)) 40
Open this interval in xen-calc

In 31-limit just intonation, 31/27 is either the tricesimoprimal ultramajor second or tricesimoprimal inframinor third. It is sharp of the Pythagorean major second (9/8) by 248/243, and flat of the minor third (32/27) by 32/31.

Approximation

This interval is very accurately approximated by 1\5.

See also