Saturday, November 03, 2007

Scale of the Day: E Flat Pythagorean Lydian no 5 mapped to the Square-root-of-2

EFlatPythagoreanLydianNo5MappedToTheSquareRootOf2

The E Flat Pythagorean Lydian no 5 mapped to the Square-root-of-2 Scale. A Pythagorean refinement of the quarter-tone scale with the subtracted fifth degree allowing for 6-pitches per 600-cents (the interval of harmonic equivalence). I could have represented the frequency ratio of the square-root-of-(81/64) as the more conventional 9/8 Pythagorean whole-tone (9/8 being the square root of 81/64). But the visual representation of squaring all the standard otonal Pythagorean intervals is more appealing.

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