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Advisor(s)
Abstract(s)
Repetitive structures in the soprano saxophones, violas/synthesizer and violoncelli in the full score of Philip Glass' Fa cades [4] are investigated assimilating similar music bars with the axial-diagonal self-a ne cartoons as de ned by Mandelbrot [7], [8] to construct very general multi-fractals. Transition matrices of order 1 Markov chains are used to simulate surrogates of phrases of the same piece, to investigate whether in this minimalist setting we obtain (i) an exact reproduction of the original, or (ii) something that though di erent sounds a pleasant variation.
Description
Keywords
Superposition of fractals Multifractals Complexity Self-affine cartoons Self-affine bars
Citation
PESTANA, Pedro Duarte ; PESTANA, Dinis - Philip Glass' Façades: a case study on the complexity of music scores. Chaotic Modeling and Simulation (CMSIM). ISSN 2241-0503. N.º 4 (2012), p. 607-612