The E 3, Cube-root-of-2, Construct #1, Lydian Mode - In Square-root-of-2-space - Scale. Another long name for a two-note scale. This time the hybrid lattice (with a Pythagorean axis and the cube-root-of-2 forming its dimensions) is folded into square-root-of-2-space (otherwise known as an equal-tempered "tritone" 600 cents in size. This short sequence of intervals repeats at every 600 cents in the same manner most "traditional" scales repeat their interval sequence at every 1200 cent octave.
Another thing to keep in mind with Square-root-of-2 based scales is that, compositionally, pitches 600 cents apart are to be treated as pitch-class equivalents. This can have an interesting auditory effect as the traditional 1200 cent "octave" is treated as a 'consonance' equal to that of the "tritone." It's an effect that is both familiar and disconcerting (a good pairing to work with musically).
Two-note scales tend to be harmonically impoverished. Any composition that makes use of such scales is "minimalist" in the strictest sense of the term.