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
Hexatonic scale a symmetric scale consisting of a repeated pattern of two semitones followed by a major third now used for improvisation and may substitute for any mode of the jazz minor scale. The scale originated in Nicolas Slonimsky's book "Thesaurus of Scales and Melodic Patterns" through the, "equal division of one octave into two parts," creating a tritone, and the, "interpolation of two notes," adding two consequent semitones after the two resulting notes. The scale is the fifth mode of Messiaen's list Hexatonic scale In music and music theory, a hexatonic scale is a scale with six pitches or notes per