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Thoughts on Klumpenhouwer Networks and Mathematical Models: The Synergy of Sets and Graphs
Klumpenhouwer Networks Mathematical Models Synergy of Sets
2010/3/25
[1] In the past seventeen or so years since the publication of pioneering work by David Lewin (Lewin 1990) and Henry Klumpenhouwer (Klumpenhouwer 1991), the theory of Klumpenhouwer networks (hereafter...
Commentary on Keith Mashinter's "Calculating Sensory Dissonance: Some Discrepancies Arising from the Models of Kameoka & Kuriyagawa, and Hutchinson & Knopoff"
consonance dissonance perception sensory enculturation
2010/9/26
Mashinter’s (2006) mathematical model of sensory dissonance
neglects the dependence of roughness on waveform, the role of masking, the
distribution of roughness across critical bands, the possible p...
Commentary on “Calculating Sensory Dissonance: Some Discrepancies Arising from the Models of Kameoka & Kuriyagawa and Hutchinson & Knopoff” by Keith Mashinter
consonance dissonance sensory physiological critical bands
2010/9/26
The commentary asserts the importance of conducting additional research
on additive dissonance, and points to the need for terminological precision in discussions
of sensory versus systemic (i.e. le...
Calculating Sensory Dissonance: Some Discrepancies Arising from the Models of Kameoka & Kuriyagawa, and Hutchinson & Knopoff
consonance dissonance sensory modelling perception
2010/9/26
The phenomena of consonance and dissonance are thought to involve both learned and
innate components. Work by Greenwood (1961) and Plomp and Levelt (1965) established that an
aspect of dissonance pe...
An Algebraic Approach to Mathematical Models of Scales（图）
group halfgroup harmony dodecaphony semitones temperament Landini Matteo da Perugia Dufay Schutz Louis Couperin
2010/4/22
Although mathematical models of the scale have always been
characteristic of Western music theory, in the last 200 years they have
not been very much improved (although some interesting properties...