54/31: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = tricesimoprimal inframinor seventh, tricesimoprimal ultramajor sixth
| Name = tricesimoprimal inframinor seventh, tricesimoprimal ultramajor sixth
| Color name = 31u7, thiwu 7th
}}
}}
In [[31-limit]] [[just intonation]], '''54/31''' is either the '''tricesimoprimal inframinor seventh''' or '''tricesimoprimal ultramajor sixth'''. It is flat of the [[16/9|Pythagorean minor seventh (16/9)]] by [[248/243]], and sharp of the [[27/16|major sixth (27/16)]] by [[32/31]].  
In [[31-limit]] [[just intonation]], '''54/31''' is either the '''tricesimoprimal inframinor seventh''' or '''tricesimoprimal ultramajor sixth'''. It is flat of the [[16/9|Pythagorean minor seventh (16/9)]] by [[248/243]], and sharp of the [[27/16|major sixth (27/16)]] by [[32/31]].  

Revision as of 20:13, 24 September 2024

Interval information
Ratio 54/31
Subgroup monzo 2.3.31 [1 3 -1
Size in cents 960.8294¢
Names tricesimoprimal inframinor seventh,
tricesimoprimal ultramajor sixth
Color name 31u7, thiwu 7th
FJS name [math]\displaystyle{ \text{m7}_{31} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.7091
Weil norm (log2 max(n, d)) 11.5098
Wilson norm (sopfr(nd)) 42
Open this interval in xen-calc

In 31-limit just intonation, 54/31 is either the tricesimoprimal inframinor seventh or tricesimoprimal ultramajor sixth. It is flat of the Pythagorean minor seventh (16/9) by 248/243, and sharp of the major sixth (27/16) by 32/31.

Approximation

This interval is very accurately approximated by 4\5.

See also