Literature:Elements of Harmony: Difference between revisions
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**Mersenne's Laws? | **Mersenne's Laws? | ||
**harmonic series | **harmonic series | ||
**intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples | **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. | *Book 3 discusses harmonic properties of various scales. | ||
**odd- and prime-limit | **odd- and prime-limit | ||
Revision as of 05:00, 2 July 2019
Elements of Harmony (Classical Windermere: Yămyămał clisăybäl) 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.