The Harmonic scale is a "super-just" musical scale allowing extended just intonation, beyond 5-limit to the 19th harmonic ( Play (help·info)), and free modulation through the use of synthesizers. Transpositions and tuning tables are controlled by the left hand on the appropriate note on a one-octave keyboard.
For example, if the harmonic scale is tuned to a fundamental of C, then harmonics 16-32 are as follows:
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.
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.