Literature:Elements of Harmony: Difference between revisions

From Linguifex
Jump to navigation Jump to search
Line 5: Line 5:
**Basically the ones in Euclid's Elements plus...
**Basically the ones in Euclid's Elements plus...
**Continued fractions
**Continued fractions
*Book 2 discusses basic acoustics and chords and scales using the number theory proved in Book 1.
*Book 2 discusses basic acoustics and chords using the number theory proved in Book 1.
**harmonic series
**harmonic series
**odd- and prime-limit
**odd- and prime-limit
**otonal and utonal chords
**otonal and utonal chords
**chord voicings
**chord voicings
**tonality diamonds
*Book 3 discusses harmonic properties of various scales.
*Book 3 discusses chord progressions in 5-, 7-, and 9-limit tonality diamonds.


==Full text (in English)==
==Full text (in English)==

Revision as of 12:48, 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...
    • Continued fractions
  • Book 2 discusses basic acoustics and chords using the number theory proved in Book 1.
    • harmonic series
    • odd- and prime-limit
    • otonal and utonal chords
    • chord voicings
  • Book 3 discusses harmonic properties of various scales.

Full text (in English)