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 mathematical results:
  • Basically the ones in Euclid's Elements plus...
  • Continued fractions
  • Calculus?
• Book 2 discusses basic acoustics using the number theory proved in Book 1.
  • harmonic series
  • intervals as string length ratios (given equal thickness and tension); these can be written as tuples/monzos
  • motivates logs; gives computation of logs
• Book 3 discusses harmonic properties of various scales.
  • odd- and prime-limit
  • chord voicings
  • otonal and utonal chords