729/490: Difference between revisions

(4 intermediate revisions by 2 users not shown)

Line 1:

{{Infobox Interval

~~| Ratio = 729/490~~

| Name = complex sensamagic fifth

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

~~| Cents = 687.76448~~

| Name = sensamagic fifth~~, <br>septimal sesquiaugmented acute fourth~~

| Color name = rrg4, rurugu 4th

~~| Sound =~~

}}

'''729/490''', the '''sensamagic fifth~~''' or '''septimal sesquiaugmented acute fourth~~''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].

'''729/490''', the '''complex sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].

It arises in just intonation ~~scales often~~ as the ~~octave complement~~ of [[~~980~~/~~729~~]].

It arises in just intonation as the difference between the semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 3/2 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.

== See also ==

* [[980/729]] – its octave complement

* [[980/729]], its octave complement

* [[Gallery of just intervals]]

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

~~[[Category:Interval]]~~

~~[[Category:Ratio]]~~

[[Category:Fifth]]

~~[[Category:Fourth]]~~

[[Category:Augmented fourth]]

[[Category:Sensamagic]]

[[Category:Canou]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 729/490
+| Name = complex sensamagic fifth
-| Monzo = -1 6 -1 -2
-| Cents = 687.76448
-| Name = sensamagic fifth, <br>septimal sesquiaugmented acute fourth
 | Color name = rrg4, rurugu 4th
-| Sound =
 }}
-'''729/490''', the '''sensamagic fifth''' or '''septimal sesquiaugmented acute fourth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].
+'''729/490''', the '''complex sensamagic fifth''' is a [[7-limit]] ratio of about 687 cents, flat of a just fifth [[3/2]] by a sensamagic comma [[245/243]].
-It arises in just intonation scales often as the octave complement of [[980/729]].
+It arises in just intonation as the difference between the semidiminished fourth [[35/27]] and the supermajor seventh [[27/14]], making it a critical tempering target in the [[Sensamagic dominant chord]]. However, its distinction from 3/2 is emphasised in the [[canou family]] of temperaments, through its accessibility by two steps of the [[81/70]]-generator.
 == See also ==
+* [[980/729]] – its octave complement
-* [[980/729]], its octave complement
 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
-[[Category:Ratio]]
 [[Category:Fifth]]
-[[Category:Fourth]]
 [[Category:Augmented fourth]]
 [[Category:Sensamagic]]
+[[Category:Canou]]