Literature:Elements of Harmony: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
|||
| Line 18: | Line 18: | ||
**tonality diamond | **tonality diamond | ||
==Full text ( | ==Full text (Classical Windermere)== | ||
==Full text (English)== | ==Full text (English)== | ||
Revision as of 03:58, 17 June 2019
Elements of Harmony (Classical Windermere: Yămyămał clisăybäl) is a textbook on just intonation authored in Classical Windermere by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.
Contents
- Book 1 discusses mathematical results:
- Basically the number theory results in Euclid's Elements plus...
- Continued fractions
- Book 2 discusses basic acoustics (don't mention frequencies)
- monochord; building it
- Mersenne's Laws?
- harmonic series
- intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples/monzos by unique factorization
- Book 3 discusses harmonic properties of various scales.
- odd- and prime-limit
- chord voicings
- otonal and utonal chords
- tonality diamond