Literature:Elements of Harmony: Difference between revisions

m
Line 4: Line 4:
*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 (?)
**Continued fractions
**Continued fractions
**Polynomials over '''Z'''; Diophantine equations (?)
*Book 2 discusses basic acoustics and chords and scales using the number theory proved in Book 1.
*Book 2 discusses basic acoustics and chords and scales using the number theory proved in Book 1.
**harmonic series
**harmonic series
Line 13: Line 11:
**chord voicings
**chord voicings
**tonality diamonds
**tonality diamonds
*Book 3 discusses chord progressions.
*Book 3 discusses chord progressions in 5-, 7- and 11-limits.


==Full text (in English)==
==Full text (in English)==
138,759

edits