The Architecture of Music

Scales

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Symmetrical Scales

The LCOF diagrams of some symmetrical scales have been diagrammed below for your perusal. Symmetry in scales does not guarantee a scale will sound good. They are just more rare than asymmetrical scales. The diagram below is simply meant to generate and organize some of the symmetrical scales in existence. The scales in the middle and right columns are generated by adding notes symmetrically to perfect/symmetrical scales whereas the scales in the left column have been generated and organized as symmetrical subtractive variations of the perfect/symmetrical scales: some of these scales (or asymmetric variations of them) I’ve found to sound very good. In other words, I’ve found that removing just a single note from a perfect scale has a profound overall effect on the music created by the new scale, but is still relatable to the perfect scale it is a subtractive variation of.

Symmetrical Scales