The F Pythagorean Lydian mapped to the Square-root-of-2 Scale. All the intervals of the standard Pythagorean Lydian scale cut to one half their cent-values. The 45.11 cents between the seventh degree and the square-root-of-2 "tonic" gives that interval some strong gravity to resolve upward. Not unlike the major seventh degree in the octave-based version of this same scale.
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