# Literature:Elements of Harmony

**Elements of Harmony** (Classical Windermere: *Yămyămał clisăyfäl*) is a textbook on just intonation authored in Classical Windermere by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.

## Contents

- Book 1 discusses mathematical results:
- Basically the number theory results in Euclid's Elements plus...
- Continued fractions

- Book 2 discusses basic acoustics (don't mention frequencies)
- monochord; building it
- Mersenne's Laws?
- harmonic series
- intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples by unique factorization

- Book 3 discusses harmonic properties of various scales.
- odd- and prime-limit
- chord voicings
- The tonality diamond is described as a way to "connect" overtone chords/scales over different fundamentals.