Literature:Elements of Harmony

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.