23/18: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Name = vicesimotertial major third

~~| Ratio = 23/18~~

| Color name = 23o4, twetho 4th

~~| Monzo = -1 -2 0 0 0 0 0 0 1~~

~~| Cents = 424.36435~~

| Name = ~~Vicesimotertial Major Third~~

| Color name =

~~| FJS name =~~

| 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]].

[[36/23]] ~~- it's~~ octave ~~compliment~~

== Approximation ==

[[27/23]] ~~- it's~~ fifth ~~compliment~~

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 ==

* [[36/23]] – its [[octave complement]]

* [[27/23]] – its [[fifth complement]]

* [[Gallery of just intervals]]

~~[[Category:Just interval]]~~

~~[[Category:23-limit]]~~

[[Category:Third]]

[[Category:Supermajor third]]

[[Category:~~todo:expand~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
+| Name = vicesimotertial major third
-| Ratio = 23/18
+| Color name = 23o4, twetho 4th
-| Monzo = -1 -2 0 0 0 0 0 0 1
-| Cents = 424.36435
-| Name = Vicesimotertial Major Third
-| Color name =
-| FJS name =
 | 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]].
-[[36/23]] - it's octave compliment
+== Approximation ==
-[[27/23]] - it's fifth compliment
+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 ==
+* [[36/23]] – its [[octave complement]]
+* [[27/23]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
-[[Category:Just interval]]
-[[Category:23-limit]]
 [[Category:Third]]
+[[Category:Supermajor third]]
-[[Category:todo:expand]]