Literature:Elements of Harmony

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Elements of Harmony (placeholder name) is a collection of Netagin-language textbooks covering elementary number theory, acoustics, and just intonation music theory.

Contents

  • Book 1 discusses and proves number-theoretic results:
    • Basically the ones in Euclid's Elements plus...
    • Modular arithmetic (?)
    • Continued fractions
    • Polynomials over Z; Diophantine equations (?)
  • Book 2 discusses basic acoustics and chords and scales using the number theory proved in Book 1.
    • harmonic series
    • odd- and prime-limit
    • otonal and utonal chords
    • chord voicings
    • tonality diamonds
  • Book 3 discusses chord progressions.

Full text (in English)