23/18: Difference between revisions

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'''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.
'''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 sharp of the [[81/64|Pythagorean major third]] by a vicesimoterial formal comma, [[736/729]].
 
== Approximation ==
This interval 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 ==
== See also ==

Revision as of 10:22, 17 August 2025

Interval information
Ratio 23/18
Subgroup monzo 2.3.23 [-1 -2 1
Size in cents 424.3643¢
Name vicesimotertial diminished fourth
Color name 23o4, twetho 4th
FJS name [math]\displaystyle{ \text{M3}^{23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.69349
Weil norm (log2 max(n, d)) 9.04712
Wilson norm (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 sharp of the Pythagorean major third by a vicesimoterial formal comma, 736/729.

Approximation

This interval 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