The Architecture of Music

Scales

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Symmetrical and Semi-Symmetrical Scales

The LCOF diagrams of some symmetrical and semi-symmetrical scales have been diagrammed here for your perusal. Symmetry in scales does not guarantee a scale will sound good. They are just more rare than asymmetrical scales. The scales in the right column can be seen as variations of the perfect/symmetrical scales with missing notes some of which I’ve found them (or variations of them) to sound very good. Although it appears every symmetrical scale has two mirror lines, if the LCOF diagrams were turned back into a circle we would just have one mirror line running down the center of the COF diagram of each of these scales.

symmetrical and semi-symmetrical scales