Tuning continua and keyboard layouts

@article{Milne2008TuningCA,
  title={Tuning continua and keyboard layouts},
  author={A. Milne and W. Sethares and James Plamondon},
  journal={Journal of Mathematics and Music},
  year={2008},
  volume={2},
  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… Expand
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References

SHOWING 1-10 OF 57 REFERENCES
The structure of recognizable diatonic tunings
Isomorphic Controllers and Dynamic Tuning: Invariant Fingering over a Tuning Continuum
Some Effects of Inharmonic Partials on Interval Perception
Aspects of Well-Formed Scales
Tuning, Timbre, Spectrum, Scale
Coherence and sameness in well-formed and pairwise well-formed scales
Lecture 1 Introduction
Invariant Fingerings Across a Tuning Continuum. Submitted to the Computer Music Journal. Preliminary version available for review purposes at www.cae.wisc.edu/∼sethares/InvariantFingering.pdf
  • 2007
...
1
2
3
4
5
...