980/729: Difference between revisions

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{{Infobox Interval

~~| Ratio = 980/729~~

| Name = retrosensamagic fourth, complex sensamagic fourth

~~| Monzo = 2 -6 1 2~~

~~| Cents = 512.23552~~

| Name = sensamagic fourth

| Color name = zzy5, zozoyo 5th

~~| FJS name = d5<sup>5, 49</sup>~~

~~| Sound =~~

}}

'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ~~ratio~~ of about 512 cents, sharp of a ~~just~~ fourth [[4/3]] by a sensamagic comma [[245/243]].

'''980/729''', the '''retrosensamagic fourth''' or '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).

It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[~~Canovian~~ chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

== See also ==

* [[729/490]] – its octave complement

* [[Gallery of just intervals]]

~~[[Category:7-limit]]~~

~~[[Category:Interval]]~~

~~[[Category:Ratio]]~~

[[Category:Fourth]]

[[Category:Diminished fifth]]

[[Category:Sensamagic]]

[[Category:Canou]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 980/729
+| Name = retrosensamagic fourth, complex sensamagic fourth
-| Monzo = 2 -6 1 2
-| Cents = 512.23552
-| Name = sensamagic fourth
 | Color name = zzy5, zozoyo 5th
-| FJS name = d5<sup>5, 49</sup>
-| Sound =
 }}
-'''980/729''', the '''sensamagic fourth''' is a [[7-limit]] ratio of about 512 cents, sharp of a just fourth [[4/3]] by a sensamagic comma [[245/243]].
+'''980/729''', the  '''retrosensamagic fourth''' or '''complex sensamagic fourth''' is a [[7-limit]] interval of about 512 cents, sharp of a perfect fourth ([[4/3]]) by a sensamagic comma ([[245/243]]).
-It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Canovian chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
+It arises in just intonation as the difference between the supermajor third [[9/7]] and the semidiminished seventh [[140/81]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 4/3 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
 == See also ==
 * [[729/490]] – its octave complement
 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
-[[Category:Ratio]]
 [[Category:Fourth]]
 [[Category:Diminished fifth]]
 [[Category:Sensamagic]]
 [[Category:Canou]]