40/31: Difference between revisions

@@ Line 3: / Line 3: @@
 | Color name = 31uy4, thiwuyo 4th
 }}
-In [[31-limit]] [[just intonation]], '''40/31''' is either the '''tricesimoprimal semidiminished fourth''' or '''tricesimoprimal supermajor third'''. It is sharp of the [[81/64|Pythagorean major third (81/64)]] by [[2560/2511]], sharp of the [[9/7|septimal major third (9/7)]] by [[280/279]], and flat of the [[4/3|perfect fourth (4/3)]] by [[31/30]].
+In [[31-limit]] [[just intonation]], '''40/31''' is either the '''tricesimoprimal semidiminished fourth''' or '''tricesimoprimal supermajor third'''. It is sharp of the [[81/64|Pythagorean major third (81/64)]] by [[2560/2511]], sharp of the [[9/7|septimal major third (9/7)]] by [[280/279]], and flat of the [[4/3|perfect fourth (4/3)]] by [[31/30]]. It is an excellent [[generator]] tuning for the [[clyde]] temperament, and this interval is an interpretation of the generator in the extended harmony of the [[5-limit]] [[sensipent]] temperament. In this context, it is equated to its complement relative to [[5/3]], that is, [[31/24]].
 == Approximation ==