Isomorphic Controllers and Dynamic Tuning: Invariant Fingering over a Tuning Continuum

@article{Milne2007IsomorphicCA,
  title={Isomorphic Controllers and Dynamic Tuning: Invariant Fingering over a Tuning Continuum},
  author={Andrew J. Milne and William A. Sethares and James Plamondon},
  journal={Computer Music Journal},
  year={2007},
  volume={31},
  pages={15-32}
}
Andrew Milne, William Sethares, and James Plamondon *Department of Music University of Jyvaskyla Finland andymilne@tonalcentre.org **Department of Electrical and Computer Engineering University of Wisconsin-Madison Madison, WI 53706 USA sethares@ece.wisc.edu †Thumtronics Inc. 6911 Thistle Hill Way Austin, TX 78754 USA jim@thumtronics.com Isomorphic Controllers and Dynamic Tuning: Invariant Fingering over a Tuning Continuum 
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References

SHOWING 1-10 OF 36 REFERENCES
Tuning continua and keyboard layouts
TLDR
The general principles underlying layouts that are invariant in both transposition and tuning are described and their applicability to a wide variety of commas and temperaments, tuning continua and keyboard layouts are described.
Spectral Tools for Dynamic Tonality and Audio Morphing
Computer Music Journal Spectral Tools for Dynamic Tonality and Audio Morphing William Sethares sethares@ece.wisc.edu, Department of Electrical and Computer Engineering, University of
The structure of recognizable diatonic tunings
TLDR
In a comprehensive work with important implications for tuning theory and musicology, Easley Blackwood establishes a mathematical basis for the family of diatonic tunings generated by combinations of perfect fifths and octaves.
Tuning: At the Crossroads
TLDR
The arena of musical scales and tuning has certainly not been a quiet place to be for the past three hundred years if the authors judge by the results: the same 12/2 equally tempered scale established then as the best available tuning compromise, by J. S. Bach and many others, remains to this day essentially the only scale heard in Western music.
Scales, Sets, and Interval Cycles: A Taxonomy
Recent studies in the theory of scales by Agmon, Balzano, Carey and Clampitt, Clough and Douthett, Clough and Myerson, and Gamer have in common the central role of the interval cycle. Based on scale
Inversional Symmetry and Transpositional Combination in Bartók
The idea that inversional symmetry plays a major role in the music of Bela Bartok has in recent years been explored from a number of quarters. First proposed by George Perle in 1955, the inversional
Tuning, Timbre, Spectrum, Scale
The Octave Is Dead ... Long Live the Octave.- The Science of Sound.- Sound on Sound.- Musical Scales.- Consonance and Dissonance of Harmonic Sounds.- Related Spectra and Scales.- A Bell, A Rock, A
Aspects of Well-Formed Scales
Pentatonic, diatonic, and chromatic scales share the same underlying structure, that of the well-formed scale. Well-formedness is defined in terms of a relationship between the order in which a
Rules for automated performance of ensemble music
Recently developed parts of a computer program are presented that contain a rule system which automatically converts music scores to musical performance, and which, in a sense, can be regarded as a
BEETHOVEN AND THE METRONOME
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