23/18: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
name consistent with information in 23-odd-limit and 36/23
Fredg999 (talk | contribs)
m Misc. edits, categories
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 23/18
| Ratio = 23/18
| Monzo = -1 -2 0 0 0 0 0 0 1
| Monzo = -1 -2 0 0 0 0 0 0 1
Line 14: Line 13:
== See also ==
== See also ==


* [[36/23]] – its octave compliment
* [[36/23]] – its [[octave complement]]
* [[27/23]] – its fifth compliment
* [[27/23]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:Just interval]]
[[Category:23-limit]]
[[Category:23-limit]]
[[Category:Fourth]]
[[Category:Diminished fourth]]
[[Category:Third]]
[[Category:Third]]
[[Category:Supermajor third]]


[[Category:todo:expand]]
{{todo|expand|add color name}}

Revision as of 15:22, 31 March 2022

Interval information
Ratio 23/18
Subgroup monzo 2.3.23 [-1 -2 1
Size in cents 424.3643¢
Name vicesimotertial diminished fourth
FJS name [math]\displaystyle{ \text{M3}^{23} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.69349
Weil height (log2 max(n, d)) 9.04712
Wilson height (sopfr(nd)) 31

[sound info]
Open this interval in xen-calc

23/18 is a 23-limit interval that is the mediant between 9/7 and 14/11, giving it a character that is somewhere between the gentle undecimal thirds and the more strident septimal supermajor ones. It is decently represented by 6 steps of 17edo, and near perfectly by 29 steps of 82edo. If used as a generator, it creates squares temperament.

See also