The intervallic content of the A Mixolydian mapped to the Square-root-of-2 Scale. The "dominant" quality of this scale is lost with the halving of all the intervals into a quarter-tone context. Which, albeit syntactically and/or through pun only, is one way to subvert the "dominant" paradigm. Quarter-tones have a way of leveling the dominants, subdominants and otherwise throwing harmony into a context free of such unfortunate hierarchical traditions and practices.
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