Corpus ID: 33330827

The Harmonic Matrix: Exploring the geometry of Pitch

@inproceedings{Bond2011TheHM,
  title={The Harmonic Matrix: Exploring the geometry of Pitch},
  author={D. Bond},
  booktitle={ICMC},
  year={2011}
}
  • D. Bond
  • Published in ICMC 2011
  • Mathematics, Computer Science
Harmonic matrix theory is a comprehensive synthesis of just intonation and Pythagorean tuning systems related to, but extending the classical lambdoma of the ancient Greeks. Extrapolated to n-dimensional structures, cubes, hyper-planes, hyper-cubes, and so on, the approach is completed by the logical inclusion of additional special matrices such as the ‘iterative power’ and ‘golden’ matrix. The harmonic matrix describes a geometry that exposes the fractal nature of the integer set and the… Expand

References

SHOWING 1-7 OF 7 REFERENCES
The Lambdoma matrix and harmonic intervals
  • B. Hero, R. Foulkrod
  • Medicine, Psychology
  • IEEE Engineering in Medicine and Biology Magazine
  • 1999
How Equal Temperament Ruined Harmony: And Why You Should Care
On the relations of tone
Temperament: The Idea That Solved Music’s Greatest Riddle
Harmonic Experience: Tonal Harmony from Its Natural Origins to Its Modern Expression
Genesis of a Music. First published,1949
  • 1979
Genesis of a Music