140/81: Difference between revisions

Line 9:

}}

'''140/81''', the '''septimal semidiminished seventh''' or '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 cents. It is ~~sharp~~ of a ~~supermajor sixth~~ [[12/7]] by a ~~sensamagic~~ comma [[~~245~~/~~243~~]], and ~~flat~~ of a ~~minor seventh~~ [[16/9]] by a ~~septimal quartertone~~ [[36/35]].

'''140/81''', the '''septimal semidiminished seventh''' or '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 cents. It is flat of a minor seventh [[16/9]] by a septimal quartertone [[36/35]], flat of a subminor seventh [[7/4]] by a syntonic comma [[81/80]], and sharp of a supermajor sixth [[12/7]] by a sensamagic comma [[245/243]].

It is also sharp of a major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading down to the major sixth.

It is also sharp of a major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading down to the major sixth. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators.

The interval is so perfectly approximated by [[19edo~~|19-edo~~]], with an error of 0.05 cents. There are a number of edos that do this equally well, [[171edo~~|171-edo~~]] to name one. The first edo that does this better than 19-edo with patent val is [[660edo~~|660-edo~~]].

The interval is so perfectly approximated by [[19edo]], with an error of 0.05 cents. There are a number of edos that do this equally well, [[171edo]] to name one. The first edo that does this better than 19-edo with patent val is [[660edo]].

== See also ==

* [[81/70]] – its [[octave complement]]

* [[Gallery of just intervals]]

Line 24:

Line 23:

[[Category:Ratio]]

[[Category:Seventh]]

[[Category:~~Minor~~ seventh]]

[[Category:Subminor seventh]]

[[Category:Interseptimal]]

@@ Line 9: / Line 9: @@
 }}
-'''140/81''', the '''septimal semidiminished seventh''' or '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 cents. It is sharp of a supermajor sixth [[12/7]] by a sensamagic comma [[245/243]], and flat of a minor seventh [[16/9]] by a septimal quartertone [[36/35]].
+'''140/81''', the '''septimal semidiminished seventh''' or '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 cents. It is flat of a minor seventh [[16/9]] by a septimal quartertone [[36/35]], flat of a subminor seventh [[7/4]] by a syntonic comma [[81/80]], and sharp of a supermajor sixth [[12/7]] by a sensamagic comma [[245/243]].
-It is also sharp of a major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading down to the major sixth.
+It is also sharp of a major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading down to the major sixth. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators.
-The interval is so perfectly approximated by [[19edo|19-edo]], with an error of 0.05 cents. There are a number of edos that do this equally well, [[171edo|171-edo]] to name one. The first edo that does this better than 19-edo with patent val is [[660edo|660-edo]].
+The interval is so perfectly approximated by [[19edo]], with an error of 0.05 cents. There are a number of edos that do this equally well, [[171edo]] to name one. The first edo that does this better than 19-edo with patent val is [[660edo]].
 == See also ==
 * [[81/70]] – its [[octave complement]]
 * [[Gallery of just intervals]]
@@ Line 24: / Line 23: @@
 [[Category:Ratio]]
 [[Category:Seventh]]
-[[Category:Minor seventh]]
+[[Category:Subminor seventh]]
 [[Category:Interseptimal]]