Pitch-and-rhythm interrelationships and musical patterns: Analysis and modelling by subdivision schemes

DOI10.1080/17459737.2014.980344zbMath1332.00034OpenAlexW2010637773MaRDI QIDQ2791804

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Publication date: 16 March 2016

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17459737.2014.980344

zbMATH Keywords

symmetrymultiresolution analysissubdivision schemesrhythmic patternsMozart's dice gamemusic analysispitch-and-rhythm interrelationshipsrhythm tree

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Numerical differentiation (65D25) Computer-aided design (modeling of curves and surfaces) (65D17) Mathematics and music (00A65)

Related Items (2)

Subdivision models for varying-resolution and generalized perturbations ⋮ Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis

Cites Work

• Using parameters to increase smoothness of curves and surfaces generated by subdivision
• Subdivision models for varying-resolution and generalized perturbations
• A ‘subdivision regression’ model for data analysis
• Subdivision schemes in geometric modelling
• Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis

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