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Modelling tonal context dynamics by temporal multi-scale analysis

Title Modelling tonal context dynamics by temporal multi-scale analysis
Publication Type PhD Thesis
Year of Publication 2013
University Universitat Pompeu Fabra
Authors Martorell, A.
Academic Department Department of Information and Communication Technologies
Number of Pages 153
Date Published 2013
City Barcelona
Abstract This work explores the multidimensional, ambiguous and temporal characteristics of tonality from a holistic perspective. The approach relies on interfacing pitch-spaces with time vs. time-scale descriptions. In this combined representation, the spatial and temporal hierarchies of tonality are evidenced simultaneously and in relation to each other. A visual exploration method is proposed for the analysis of tonal context in music works, using a simple model of tonal induction. A geometrical colouring solution, based on the topology of the pitch-space, approaches the perceptual correlation between the tonal properties and the visual representation. A relational taxonomy is proposed for describing tonal ambiguity, which leads to extending the method for the analysis of music based on tonal systems beyond the major-minor paradigm. Two perceptual studies are approached from this descriptive framework. The first study evidences the impact of time-scale in a simple model of tonal induction, and analyses the mathematical artefacts introduced by evaluations in scaled spaces. In the second study, a model of contextual instability is proposed and discussed in relation to the modelling of tonal tension. The analysis and representation methods are then generalised, through a set-class theoretical domain, in order to be applied with any pitch-based music.