Thursday, July 05, 2007

Scale of the Day: E 7, Cube-root-of-2, Construct #1, Lydian Mode - in Square-root-of-2-space

E7CubeRootOf2ConstructNo1LydianModeInSquareRootOf2Space

The E 7, Cube-root-of-2, Construct #1, Lydian Mode - in Square-root-of-2-space - Scale. Some of the smallest scales have such long names. That's my fault, since I choose to give these things such descriptive names. The "Square-root-of-2" space denotes that this is an intervallic sequence that repeats at the 600-cent "tritone," which serves as the interval of harmonic equivalence. The reason this scale is said to be in square-root-of-2-space - as opposed to "mapped to the square-root-of-2" - is because this particular construction is adapted directly from a harmonic space that collapses everything within the square-root-of-2. Which is conceptually different from taking a scale from another harmonic space and mathematically adjusting all the interval sizes to fit the new confines. Many of these minimal scales with "construct" labels attached to them are cut from an entirely different cloth than the adapted Lydian, Ionian, Mixolydian, Dorian, Aeolian, Phrygian, Locrian, Whole-tone, Octotonic and Chromatic scales that dominate the "scale of the day" entries.

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