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Literature:Elements of Harmony: Difference between revisions
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*Book 1 discusses and proves number-theoretic results: | *Book 1 discusses and proves number-theoretic results: | ||
**Basically the ones in Euclid's Elements plus... | **Basically the ones in Euclid's Elements plus... | ||
**Modular arithmetic | **Modular arithmetic (?) | ||
**Continued fractions | **Continued fractions | ||
*Book 2 discusses basic acoustics and | *Polynomials over '''Z'''; Diophantine equations (?) | ||
*Book 2 discusses basic acoustics and chords and scales using the number theory proved in Book 1. | |||
**harmonic series | **harmonic series | ||
**odd- and prime-limit | **odd- and prime-limit | ||
**otonal and utonal chords; tonality diamonds | **otonal and utonal chords; tonality diamonds | ||
*Book 3 discusses | |||
==Full text (in English)== | ==Full text (in English)== | ||