Tuning continua and keyboard layouts

  title={Tuning continua and keyboard layouts},
  author={Andrew J. Milne and William A. Sethares and James Plamondon},
  journal={Journal of Mathematics and Music},
  pages={1 - 19}
Previous work has demonstrated the existence of keyboard layouts capable of maintaining consistent fingerings across a parametrized family of tunings. This paper describes the general principles underlying layouts that are invariant in both transposition and tuning. Straightforward computational methods for determining appropriate bases for a regular temperament are given in terms of a row-reduced matrix for the temperament-mapping. A concrete description of the range over which consistent… 
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  • 2007