Harmonic scale It was invented by Wendy Carlos and used on three pieces on her album "Beauty in the Beast" (1986): "Just Imaginings", "That's Just It", and "Yusae-Aisae". Versions of the scale have also been used by Ezra Sims and Frans Richter Herf. Though described by Carlos as containing "144 [= 12] distinct pitches to the octave", the twelve scales include 78 (= ) notes per octave. Technically there should then be duplicates and thus 57 (= 78 − 21) pitches (21 = ). For example, a perfect fifth above G (D) is the major tone above C. Harmonic scale The Harmonic
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