My subject concerns the application of quasi-Schenkerian analysis to post-tonal music and the underlying theoretical principles, such as norms of harmonic stability (functional consonance), which may radically deviate from conventional tonality. A central point in my arguments is the significance

use of an automatically derived quasi-Schenkerian reduction of the theme and the extract in question. The maximum average F-measure achieved was 0.87. Unexpectedly, this was for a method of matching based on the surface alone, and in general the results for matches based on the surface were marginally

, complexity, and emotional impact. However, there are presently no theories of music perception that can explain this behavior, and it has proven very difficult to build computer music-analysis tools with similar capabilities. This dissertation examines the psychoacoustic origins of the early stages of music

This paper describes a system for chordal analysis of tonal music. We establish that, in the worst case, the segmenting the music and labeling the harmonies takes on the order of 2^n steps, where n is number of notes in a piece of music. We show that, when segments of the music can be analyzed

Prolongation in post-tonal music is a topic that music theorists have engaged for several decades now. The problems of applying Schenkerian analytical techniques to post-tonal music are numerous and have invited several adaptations of the method. The bulk of the thesis offers a survey

This paper describes software to facilitate research on the automatic derivation of hierarchical (Schenkerian) musical structures from a musical surface. Many MIR tasks require information about musical structure, or would perform better if such information were available. Automatic derivation

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This paper describes software to facilitate research on the automatic derivation of hierarchical (Schenkerian) musical structures from a musical surface. Many MIR tasks require information about musical structure, or would perform better if such information were available. Automatic derivation

Abstract: Music scholars have been studying tonal harmony intensively for centuries, yielding numerous theories and models. Unfortunately, a large number of these theories are formulated in a rather informal fashion and lack mathematical precision. In this article we present HarmTrace, a functional model of Western tonal harmony that builds on well-known theories of tonal harmony. In contrast to other approaches that remain purely theoretical, we present an implemented system that is evaluated empirically. Given a sequence of symbolic chord labels, HarmTrace automatically derives the harmonic relations between chords. For this, we use advanced functional programming techniques that are uniquely available in the Haskell programming language. We show that our system is fast, easy to modify and maintain, robust against noisy data, and that its harmonic analyses comply with Western tonal harmony theory. For ages, musicians, composers, and musicologists have proposed theories regarding the structure of music to better understand how it is perceived, performed, and appreciated. In particular, tonal har-mony exhibits a considerable amount of structure and regularity. The first theories describing tonal

1 I Introduction 3 1 The Musical Problem of Timbre and Sound Texture 4 1.1 Timbre and Sound Texture : : : : : : : : : : : : : : : : : : : 4 1.2 Existing Works on Timbre : : : : : : : : : : : : : : : : : : : 6 1.2.1 Historical Perspective : : : : : : : : : : : : : : : : : : : 6 1.2.2 State of the Art in Sound Representation : : : : : : : : 6 1.2.3 Modeling and Feature Extraction for the Description of Timbre : : : : : : : : : : : : : : : : : : : : : : : : : 7 1.2.4 Previous Works on Apperiodicities in Periodic Sounds : 8 1.3 Overview of the study : : : : : : : : : : : : : : : : : : : : : : 10 1.3.1 Goals : : : : : : : : : : : : : : : : : : : : : : : : : : : : 10 1.3.2 Outline of the Work and Summary of Results : : : : : 11 1.3.3 Musical Contribution : : : : : : : : : : : : : : : : : : 12 2 Higher Order Spectra for Acoustic Signal Processing 13 2.1 Multiple Correlations and Cumulants of Stochastic Signals : 13 2.1.1 Elements System Theory : : : : : : : : : : : : : : : : 14 2.2 Proper...