Even-regular MV3 scale: Difference between revisions
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* Even-regular MV3 scales are [[maximum variety]] 3 (MV3) but not [[strict variety]] 3 (SV3), and by the [[ternary scale theorems|MV3 classification theorem]] a balanced single-period MV3 scale that has an even number of notes is always even-regular MV3 and has [[step signature]] aXaYbZ where a is odd and b is even. | * Even-regular MV3 scales are [[maximum variety]] 3 (MV3) but not [[strict variety]] 3 (SV3), and by the [[ternary scale theorems|MV3 classification theorem]] a balanced single-period MV3 scale that has an even number of notes is always even-regular MV3 and has [[step signature]] aXaYbZ where a is odd and b is even. | ||
* Even-regular MV3 scales are [[chirality|achiral]]. There is only one even-regular MV3 scale pattern for a given scale signature if it exists. | * Even-regular MV3 scales are [[chirality|achiral]]. There is only one even-regular MV3 scale pattern for a given scale signature if it exists. | ||
* If an even-regular MV3 is oddly even, then it is | * If an even-regular MV3 is oddly even, then it is an [[interleaving]] of two odd-regular MV3's of opposite chiralities. If it is evenly even, then it is an interleaving of two copies of the same even-regular MV3, except in the trivial case xyxz where it is an interleaving of two 2-note MOSes (x+y)(x+z). | ||
== Terminology == | == Terminology == | ||