Finding Alternative Musical Scales

@inproceedings{Hooker2016FindingAM,
  title={Finding Alternative Musical Scales},
  author={J. Hooker},
  booktitle={International Conference on Principles and Practice of Constraint Programming},
  year={2016}
}
  • J. Hooker
  • Published in
    International Conference on…
    5 September 2016
  • Computer Science
We search for alternative musical scales that share the main advantages of classical scales: pitch frequencies that bear simple ratios to each other, and multiple keys based on an underlying chromatic scale with tempered tuning. We conduct the search by formulating a constraint satisfaction problem that is well suited for solution by constraint programming. We find that certain 11-note scales on a 19-note chromatic stand out as superior to all others. These scales enjoy harmonic and structural… 

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