Tuning Methods

Harmonic series tunings include all those that consist of any subset of the harmonic or subharmonic series. The examples offered below are made to fit on a standard 12-tone keyboard, +/-99c with reference to 12 EDO.

• Simple Harmonic Fragments
  • 1-24, reduced to octave equivalence. This is the only 12-tone tuning in its category, because:
    1. Any set of 12 consecutive non-equivalent tones, starting on any number 1-13, yields a transposition of the same tuning.
    2. Starting on any tone greater than 13 produces an incomplete octave.
  • If you're not concerned with maintaining octave equivalence, the number of possible tunings in the Simple Harmonic Fragment category is theoretically infinite, although after about harmonic 60, adjacent tones may not be perceived as belonging separate pitch classes (because they're less than 30 cents apart).
• Modified Harmonic Fragments
  • Example: 19-tone base-19, modifed, with mp3 music.
• Primes only
• Composites only
• Simple Skip-sets
• ASPluCT Series