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
Diatonic scale the ancient Greeks. In musical set theory, Allen Forte classifies diatonic scales as set form 7–35. This article does not concern alternative seven-note diatonic scales such as the harmonic minor or the melodic minor. Western music from the Middle Ages until the late 19th century (see common practice period) is based on the diatonic scale and the unique hierarchical relationships created by this system of organizing seven notes. There is one claim that the 45,000-year-old Divje Babe Flute uses a diatonic scale, but there is no proof or consensus it is even a musical instrument. There is evidence that the