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
Bohlen–Pierce scale Bohlen–Pierce scale The Bohlen–Pierce scale (BP scale) is a musical tuning and scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Western and other musics, specifically the equal tempered diatonic scale. The interval 3:1 (often called by a new name, tritave) serves as the fundamental harmonic ratio, replacing the diatonic scale's 2:1 (the octave). For any pitch that is part of the BP scale, all pitches one or more tritaves higher or lower are part of the system as well, and are considered equivalent. The BP scale divides the tritave into 13 steps,