The E Flat Pythagorean Mixolydian no 4 mapped to the Square-root-of-2 Scale. Just to point out an obvious bit of mathematics that comes into play when taking the square root of frequency ratios: the square-root-of 81/64 is equal to the 9/8 major second at 203.91-cents. Also, the square-root-of 16/9 is the same interval as the 4/3 perfect fourth at 498.04-cents.
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