Literature:Elements of Harmony: Difference between revisions
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'''Elements of Harmony''' ( | '''Elements of Harmony''' (Varrkkún: ___) is a collection of [[Varrkkún]]-language textbooks by physicist, mathematician and composer ___ covering elementary number theory, acoustics, and just intonation music theory. | ||
==Contents== | ==Contents== | ||
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**tonality diamond | **tonality diamond | ||
==Full text ( | ==Full text (Varrkkún)== | ||
==Full text (English)== | ==Full text (English)== | ||
Revision as of 03:18, 16 July 2017
Elements of Harmony (Varrkkún: ___) is a collection of Varrkkún-language textbooks by physicist, mathematician and composer ___ 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