Even-regular MV3 scale

A diregular scale is a type of scale with even notes. A diregular scale consists of two identical generator chains, where all generators are identical and subtend the same step class. The two chains are offset by an interval that subtends k steps in a 2k-note diregular scale. One example is the achiral variant of diachrome.

The term diregular has been coined by akselai and Inthar.

By the MV3 classification theorem, a balanced MV3 scale that has an even number of notes is always diregular and has step signature aXaYbZ where b is even.