140/81: Difference between revisions

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'''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.

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

== 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 ==

@@ Line 11: / Line 11: @@
 '''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.
-It is so perfectly approximated by [[19edo]] (15\19), with an error of 0.05 cents, and hence equally well done by the [[enneadecal]] temperament.
+== 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 ==