Literature:Elements of Harmony: Difference between revisions

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==Contents==
==Contents==
*Book 1 discusses mathematical results:
*Book 1 discusses mathematical results:
**Basically the number theory results in Euclid's Elements plus...
**Prime factorization
**Continued fractions<!--
**Continued fractions and mediants
**Calculus
**log(x)-->
*Book 2 discusses basic acoustics (don't mention frequencies)
*Book 2 discusses basic acoustics (don't mention frequencies)
**monochord; building it
**monochord; building it
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**harmonic series
**harmonic series
**intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples by unique factorization
**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 just intonation scales built from notes taken from overtone and undertone series.
**odd- and prime-limit
**odd- and prime-limit
**chord voicings
**chord voicings
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