Tuning Methods

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These are the tuning methods that I have either devised, calculated, tried, or some combination thereof. This is not an exhaustive list of possibilities, by any means.

  1. Rational Tunings
    1. Prime Limit
      1. Otonal
      2. Utonal
    2. Odd Limit - I think I tried tunings with limits on odd factors once, but I no longer remember why.
    3. Harmonic Series Subsets and Skip-sets
      1. Simple Harmonic Fragments
      2. Modified Harmonic Fragments
      3. Primes Only Fragments
      4. Composites Only Fragments
      5. Simple Skip-sets
      6. ASPluCT Series
    4. Saturated Ratios
      1. 2-Dimensional
      2. 3-Dimensional with 2-D Saturation
      3. 3-Dimensional
    5. Tetrachordal
    6. Mirror Tunings
    7. Septimal Chromatic
    8. Hexanies
  2. Equal Temperaments
    1. Octave Repeating
      1. 13 EDO: Upsidedown & Backwards
      2. 88 cent generator
    2. Non-octave Repeating
  3. Non-Equal, Non-Rational Tunings
    1. Scales of the Golden Horagrams
    2. Lucy Tuning™
    3. 2pi Roots, Single Generator

David J. Finnamore