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Literature:Elements of Harmony: Difference between revisions
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'''Elements of Harmony''' ([[Windermere/Classical|Classical Windermere]]: ''Yămyămał | '''Elements of Harmony''' ([[Windermere/Classical|Classical Windermere]]: ''Yămyămał clisăyfäl'') is a textbook on just intonation authored in [[Windermere/Classical|Classical Windermere]] by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory. | ||
==Contents== | ==Contents== | ||
*Book 1 discusses mathematical results: | *Book 1 discusses mathematical results: | ||
** | **Prime factorization | ||
**Continued fractions | **Continued fractions and mediants | ||
*Book 2 discusses basic acoustics (don't mention frequencies) | *Book 2 discusses basic acoustics (don't mention frequencies) | ||
**monochord; building it | **monochord; building it | ||
**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 | *Book 3 discusses just intonation scales built from notes taken from overtone and undertone series. | ||
**odd- and prime-limit | **odd- and prime-limit | ||
**chord voicings | **chord voicings | ||