Mathematics and Computation in Music

First International Conference, MCM 2007 Berlin, Germany, May 18–20, 2007 Revised Selected Papers

Editors:

ISBN: 978-3-642-04578-3 (Print) 978-3-642-04579-0 (Online)

Table of contents (53 chapters)

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  1. Front Matter

    Pages I-XI

  2. Mathematical Modeling and Computation in Music

    1. Invited Lectures

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        Pages 1-10

        Rhythm and Transforms, Perception and Mathematics

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        Pages 11-18

        Visible Humour — Seeing P.D.Q. Bach’s Musical Humour Devices in The Short-Tempered Clavier on the Spiral Array Space

      Metalanguage and Representation

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        Pages 19-24

        Category-Theoretic Consequences of Denotators as a Universal Data Format

      2. No Access

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        Pages 25-51

        Normal Form, Successive Interval Arrays, Transformations and Set Classes: A Re-evaluation and Reintegration

      Melodic, Motivic and Metric Levels of Description

      1. No Access

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        Pages 52-58

        A Model of Musical Motifs

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        Pages 59-66

        Melodic Clustering within Motivic Spaces: Visualization in OpenMusic and Application to Schumann’s Träumerei

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        Pages 67-77

        Topological Features of the Two-Voice Inventions

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        Pages 78-87

        Comparing Computational Approaches to Rhythmic and Melodic Similarity in Folksong Research

      Harmonic Levels of Description

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        Pages 88-96

        Automatic Modulation Finding Using Convex Sets of Notes

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        Pages 97-106

        On Pitch and Chord Stability in Folk Song Variation Retrieval

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        Pages 107-116

        Bayesian Model Selection for Harmonic Labelling

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        Pages 117-123

        The Flow of Harmony as a Dynamical System

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        Pages 124-139

        Tonal Implications of Harmonic and Melodic Tn-Types

      Computational Models in Music Psychology

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        Pages 140-155

        Calculating Tonal Fusion by the Generalized Coincidence Function

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        Pages 156-167

        Predicting Music Therapy Clients’ Type of Mental Disorder Using Computational Feature Extraction and Statistical Modelling Techniques

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        Pages 168-188

        Nonlinear Dynamics, the Missing Fundamental, and Harmony

      Computational Models for Musical Instruments

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        Pages 189-197

        Dynamic Excitation Impulse Modification as a Foundation of a Synthesis and Analysis System for Wind Instrument Sounds

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        Pages 198-203

        Non-linear Circles and the Triple Harp: Creating a Microtonal Harp

      Comparative Computational Analysis

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        Pages 204-210

        Applying Inner Metric Analysis to 20th Century Compositions

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        Pages 211-219

        Tracking Features with Comparison Sets in Scriabin’s Study op. 65/3

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