34/31: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
in what system is it classified as a diminished third?
Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox Interval}}
{{Infobox Interval|Name=tricesimoprimal neutral second|Color name=31u17o3, thiwuso 3rd}}
34/31 is a [[31-limit]] ratio of about 160 [[cents]]. 34/31 is very close to 2 steps of [[15edo]] and 1 step of [[8edo]].
'''34/31''' is a [[31-limit]] ratio of about 160 [[cents]]. It is classified as a diminished third in [[FJS]], but an augmented unison in [[HEJI]]. According to its size, it might also be considered a type of neutral or major second. It is very close to 2 steps of [[15edo]].
 
== See also ==
* [[31/17]] – its [[octave complement]]
 
[[Category:Second]]
[[Category:Neutral second]]

Latest revision as of 12:26, 27 April 2025

Interval information
Ratio 34/31
Subgroup monzo 2.17.31 [1 1 -1
Size in cents 159.9198¢
Name tricesimoprimal neutral second
Color name 31u17o3, thiwuso 3rd
FJS name [math]\displaystyle{ \text{d3}^{17}_{31} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.0417
Weil norm (log2 max(n, d)) 10.1749
Wilson norm (sopfr(nd)) 50
Open this interval in xen-calc

34/31 is a 31-limit ratio of about 160 cents. It is classified as a diminished third in FJS, but an augmented unison in HEJI. According to its size, it might also be considered a type of neutral or major second. It is very close to 2 steps of 15edo.

See also