140/81: Difference between revisions

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{{Infobox Interval

~~| Ratio = 140/81~~

| Name = septimal inframinor seventh

~~| Monzo = 2 -4 1 1~~

~~| Cents = 947.3196~~

| Name = ~~septimal semidiminished seventh, <br>~~ septimal inframinor seventh

| Color name = zy7, zoyo 7th

~~| FJS name = m7<sup>35</sup>~~

| Sound = Ji-140-81-csound-foscil-220hz.mp3

}}

'''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]].

'''140/81''', the '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 [[cent]]s. 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. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators.

Notice it is also sharp of the just major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[sensamagic dominant chord]] where it functions as a dissonance yet to be resolved 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]], 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~~]].

== Approximation ==

It is perfectly approximated by [[19edo]] (15\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.

== See also ==

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* [[Gallery of just intervals]]

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

~~[[Category:Interval]]~~

~~[[Category:Ratio]]~~

[[Category:Seventh]]

[[Category:Subminor seventh]]

[[Category:Interseptimal]]

[[Category:Interseptimal intervals]]

[[Category:Semitwelfth]]

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 {{Infobox Interval
-| Ratio = 140/81
+| Name = septimal inframinor seventh
-| Monzo = 2 -4 1 1
-| Cents = 947.3196
-| Name = septimal semidiminished seventh, <br> septimal inframinor seventh
 | Color name = zy7, zoyo 7th
-| FJS name = m7<sup>35</sup>
 | Sound = Ji-140-81-csound-foscil-220hz.mp3
 }}
-'''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]].
+'''140/81''', the '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 [[cent]]s. 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. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators.
+Notice it is also sharp of the just major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[sensamagic dominant chord]] where it functions as a dissonance yet to be resolved 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]], 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]].
+== Approximation ==
+It is perfectly approximated by [[19edo]] (15\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.
 == See also ==
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 * [[Gallery of just intervals]]
-[[Category:7-limit]]
-[[Category:Interval]]
-[[Category:Ratio]]
 [[Category:Seventh]]
 [[Category:Subminor seventh]]
-[[Category:Interseptimal]]
+[[Category:Interseptimal intervals]]
+[[Category:Semitwelfth]]