Literature:Elements of Harmony: Difference between revisions
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'''Elements of Harmony''' (Windermere: ''Yămyămał clisăybäl'') is a | '''Elements of Harmony''' ([[Windermere/Classical|Classical Windermere]]: ''Yămyămał clisăybäl'') is a [[Windermere/Classical|Classical Windermere]]-language textbook by physicist, mathematician and composer Tsăhong-Tamdi covering elementary number theory, acoustics, and just intonation music theory. | ||
==Contents== | ==Contents== | ||
Revision as of 03:55, 17 June 2019
Elements of Harmony (Classical Windermere: Yămyămał clisăybäl) is a Classical Windermere-language textbook by physicist, mathematician and composer Tsăhong-Tamdi 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/monzos by unique factorization
- Book 3 discusses harmonic properties of various scales.
- odd- and prime-limit
- chord voicings
- otonal and utonal chords
- tonality diamond