81/70: Difference between revisions

Line 11:

'''81/70''', the '''septimal semiaugmented second''' or '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 cents. It is sharp of a subminor third [[7/6]] by a sensamagic comma [[245/243]], and sharp of a major second [[16/9]] by a septimal quartertone [[36/35]].

It is also ~~sharp~~ of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third.

It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. 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 19edo with patent val is [[660edo]].

== See also ==

@@ Line 11: / Line 11: @@
 '''81/70''', the '''septimal semiaugmented second''' or '''septimal ultramajor second''' is a [[7-limit]] [[interseptimal]] ratio of about 253 cents. It is sharp of a subminor third [[7/6]] by a sensamagic comma [[245/243]], and sharp of a major second [[16/9]] by a septimal quartertone [[36/35]].
-It is also sharp of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third.
+It is also flat of a minor third [[6/5]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading up to the minor third. 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 19edo with patent val is [[660edo]].
 == See also ==