Literature:Elements of Harmony: Difference between revisions
Jump to navigation
Jump to search
m (→Contents) |
m (→Contents) |
||
| Line 6: | Line 6: | ||
**Modular arithmetic (?) | **Modular arithmetic (?) | ||
**Continued fractions | **Continued fractions | ||
*Polynomials over '''Z'''; Diophantine equations (?) | **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 | ||
Revision as of 12:37, 6 June 2017
Elements of Harmony (placeholder name) is a collection of Netagin-language textbooks covering elementary number theory, acoustics, and just intonation music theory.
Contents
- Book 1 discusses and proves number-theoretic results:
- Basically the ones in Euclid's Elements plus...
- Modular arithmetic (?)
- Continued fractions
- Polynomials over Z; Diophantine equations (?)
- Book 2 discusses basic acoustics and chords and scales using the number theory proved in Book 1.
- harmonic series
- odd- and prime-limit
- otonal and utonal chords; tonality diamonds
- Book 3 discusses