Scale of the Day: E Pythagorean Construct No. 1 - Lydian Inversion - in Square-root-of-2-space

The E Pythagorean Construct #1 - Lydian Inversion - in Square-root-of-2-space Scale.

Scale of the Day: A 3, Square-root-of-2, Construct #1 - Lydian Inversion

The A 3, Square-root-of-2, Construct #1 - Lydian Inversion - Scale. One could think of this as summing the intervals - the just perfect fourth (4/3, the inversion of 3/2) plus the square-root-of-2 (the 600-cent "tritone") for an interval of a major seventh 1.96-cents flat.

Scale of the Day: E Cube-root-of-2-axis, Construct #1 - Lydian Inversion - in Square-root-of-2-space

The E Cube-root-of-2-axis, Construct #1 - Lydian Inversion - in Square-root-of-2-space Scale as one would find it on any conventionally tuned, equal tempered instrument. Continuing with a set of 2-note scales.

Scale of the Day: A Flat Pythaorean Construct no. 1 Lydian Inversion

The A Flat Pythagorean Construct no. 1 - Lydian Inversion - Scale. The inversion of the otonal 3/2 perfect fifth becoming the utonal 4/3 perfect fourth in this particular case.

Scale of the Day: G Square-root-of-2-axis, Construct #1 - Lydian Inversion

The G Square-root-of-2-axis, Construct #1 - Lydian Inversion - Scale. As an equal tempered division of the octave (into two parts) this scale is its own inversion.

Scale of the Day: E 7, Square-root-of-2, Construct No. 1 - Lydian Inversion

The E 7, Square-root-of-2, Construct No. 1 - Lydian Inversion - Scale. It's time for a few 2-note scales. These stripped-down scales expose just the barest of harmonies and are a creative opportunity to focus the ears on a restricted set of intervals. This particular example features a sharp minor sixth.

Scale of the Day: E 7-axis, Construct #1, Lydian Inversion

The E 7-axis, Construct #1, Lydian Inversion Scale. This is one of those "harmonically impoverished" 2-note scales. Here, that second note is the 8/7 major second - an interval I find facinating as an alternative to the more familiar 9/8 major second.