Titlebook: Mathematics and Computation in Music; Third International Carlos Agon,Moreno Andreatta,John Mandereau Conference proceedings 2011 Springer

prosthesis

縱火

Two-Dimensional Visual Inspection of Pitch-Space, Many Time-Scales and Tonal Uncertainty over Time-scales over time, in a two-dimensional coloured image. Keyscapes are linked with higher-dimensional tonal representations in a user interface, in order to combine their informative benefits for interactive analysis. By visualizing some specific music examples, we question the potential of continuou

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GROSS

Scratching the Scale Labyrinthcales and modes through the shaping and transformation of rhythmically and melodically interesting tone patterns, we propose a playing technique called Fourier Scratching. It is based on the manipulation of the “spectra” (DFT) of playing gestures on a sphere. The coordinates of these gestures affect

HATCH

Cardinality Transformations in Diatonic Spaceee that filtered point-symmetry is an essential tool for working through the iterated maximally even sets that establish scalar contexts. To understand cardinality transformations, we also extend filtered point-symmetry to model partially symmetric distributions and relatively even sets.

dendrites

Emergent Formal Structures of Factor Oracle-Driven Musical Improvisationst a high level of agreement between the two sets of analyses. Drawing upon this foundation of evidence, we discuss these analyses and their relationship to common classical forms, including canon- and rondo-like forms, as well as forms based on the juxtaposition of rhythmic cells.

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0302-9743 ry; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.978-3-642-21589-6978-3-642-21590-2Series ISSN 0302-9743 Series E-ISSN 1611-3349

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