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 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

Full text (in English)