23/18: Difference between revisions

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{{Infobox Interval

| Name = vicesimotertial ~~diminished fourth~~

| Name = vicesimotertial major third

| Color name = 23o4, twetho 4th

| Sound = jid_23_18_pluck_adu_dr220.mp3

}}

'''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''', the '''vicesimoterial major third''', 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 very accurately represented by 6 steps of [[17edo]] and by 35 steps of [[99edo]], and near perfectly by 29 steps of [[82edo]]. If used as a generator, it creates [[squares]] temperament.

== See also ==

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* [[Gallery of just intervals]]

~~[[Category:Fourth]]~~

~~[[Category:Diminished fourth]]~~

[[Category:Third]]

[[Category:Supermajor third]]

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 {{Infobox Interval
-| Name = vicesimotertial diminished fourth
+| Name = vicesimotertial major third
 | Color name = 23o4, twetho 4th
 | Sound = jid_23_18_pluck_adu_dr220.mp3
 }}
-'''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''', the '''vicesimoterial major third''', 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 very accurately represented by 6 steps of [[17edo]] and by 35 steps of [[99edo]], and near perfectly by 29 steps of [[82edo]]. If used as a generator, it creates [[squares]] temperament.
+{{Interval edo approximation|max_edo=100}}
 == See also ==
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 * [[Gallery of just intervals]]
-[[Category:Fourth]]
-[[Category:Diminished fourth]]
 [[Category:Third]]
 [[Category:Supermajor third]]