36/31: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
TallKite (talk | contribs)
add color name
Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
 
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = tricesimoprimal inframinor third, tricesimoprimal ultramajor second
| Name = (greater) tricesimoprimal inframinor third, (greater) tricesimoprimal ultramajor second
| Color name = thiwu 3rd, 31u3
| Color name = thiwu 3rd, 31u3
}}
}}
In [[31-limit]] [[just intonation]], '''36/31''' is either the '''tricesimoprimal inframinor third''' or '''tricesimoprimal ultramajor second'''. It is flat of the [[32/27|Pythagorean minor third (32/27)]] by [[248/243]], and sharp of the [[9/8|major second (9/8)]] by [[32/31]].  
In [[31-limit]] [[just intonation]], '''36/31''' is either the '''tricesimoprimal inframinor third''' or '''tricesimoprimal ultramajor second'''. It is flat of the [[32/27|Pythagorean minor third (32/27)]] by [[248/243]], flat of the [[7/6|septimal minor third (7/6)]] by [[217/216]], and sharp of the [[9/8|major second (9/8)]] by [[32/31]].  


== See also ==
== See also ==
* [[31/18]] – its [[octave complement]]
* [[31/18]] – its [[octave complement]]
* [[31/24]] – its [[fifth complement]]
* [[31/24]] – its [[fifth complement]]
* [[31/27]] – its [[fourth complement]]


[[Category:Third]]
[[Category:Third]]

Latest revision as of 12:07, 27 April 2025

Interval information
Ratio 36/31
Subgroup monzo 2.3.31 [2 2 -1
Size in cents 258.8744¢
Names (greater) tricesimoprimal inframinor third,
(greater) tricesimoprimal ultramajor second
Color name thiwu 3rd, 31u3
FJS name [math]\displaystyle{ \text{m3}_{31} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.1241
Weil height (log2 max(n, d)) 10.3399
Wilson height (sopfr(nd)) 41
Open this interval in xen-calc

In 31-limit just intonation, 36/31 is either the tricesimoprimal inframinor third or tricesimoprimal ultramajor second. It is flat of the Pythagorean minor third (32/27) by 248/243, flat of the septimal minor third (7/6) by 217/216, and sharp of the major second (9/8) by 32/31.

See also