Major Locrian scale "Harmonic Materials of Modern Music" devotes several pages to the major Locrian, or more precisely to its transpositional set class, a concept Hanson pioneered. He names this transpositional class the "seven-tone impure major second scale", and notes that the various modes of the major Locrian can all be defined as the whole tone scale with one additional note, and where that note occurs does not affect the transpositional class. He also notes that the scale has the property that every three-note chord possible in the twelve tone chromatic scale already appears in the major Locrian. Examples are given of the
Hungarian minor scale indicates a half step, and + indicates an augmented second (the latter of which is enharmonically equivalent to a minor third but is notionally distinct). The scale contains two augmented seconds, one in each tetrachord. It also contains an augmented fourth (which is enharmonically identical to a tritone) between the first and fourth degree. Intriguingly, this scale (and its modes like the double harmonic scale) is the only seven-note subset of the equally tempered chromatic scale that is "perfectly balanced"; this means that when its pitches are represented as points in a circle (whose full circumference represents an octave), their