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Mathematics and Computation in Music

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Cover of 'Mathematics and Computation in Music'

Table of Contents

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    Book Overview
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    Chapter 1 Rhythm and Transforms, Perception and Mathematics
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    Chapter 2 Visible Humour — Seeing P.D.Q. Bach’s Musical Humour Devices in The Short-Tempered Clavier on the Spiral Array Space
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    Chapter 3 Category-Theoretic Consequences of Denotators as a Universal Data Format
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    Chapter 4 Normal Form, Successive Interval Arrays, Transformations and Set Classes: A Re-evaluation and Reintegration
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    Chapter 5 A Model of Musical Motifs
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    Chapter 6 Melodic Clustering within Motivic Spaces: Visualization in OpenMusic and Application to Schumann’s Träumerei
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    Chapter 7 Topological Features of the Two-Voice Inventions
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    Chapter 8 Comparing Computational Approaches to Rhythmic and Melodic Similarity in Folksong Research
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    Chapter 9 Automatic Modulation Finding Using Convex Sets of Notes
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    Chapter 10 On Pitch and Chord Stability in Folk Song Variation Retrieval
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    Chapter 11 Bayesian Model Selection for Harmonic Labelling
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    Chapter 12 The Flow of Harmony as a Dynamical System
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    Chapter 13 Tonal Implications of Harmonic and Melodic T n -Types
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    Chapter 14 Calculating Tonal Fusion by the Generalized Coincidence Function
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    Chapter 15 Predicting Music Therapy Clients’ Type of Mental Disorder Using Computational Feature Extraction and Statistical Modelling Techniques
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    Chapter 16 Nonlinear Dynamics, the Missing Fundamental, and Harmony
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    Chapter 17 Dynamic Excitation Impulse Modification as a Foundation of a Synthesis and Analysis System for Wind Instrument Sounds
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    Chapter 18 Non-linear Circles and the Triple Harp: Creating a Microtonal Harp
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    Chapter 19 Applying Inner Metric Analysis to 20th Century Compositions
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    Chapter 20 Tracking Features with Comparison Sets in Scriabin’s Study op. 65/3
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    Chapter 21 Computer Aided Analysis of Xenakis-Keren
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    Chapter 22 Automated Extraction of Motivic Patterns and Application to the Analysis of Debussy’s Syrinx
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    Chapter 23 Pitch Symmetry and Invariants in Webern’s Sehr Schnell from Variations Op.27
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    Chapter 24 Computational Analysis Workshop: Comparing Four Approaches to Melodic Analysis
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    Chapter 25 Computer-Aided Investigation of Chord Vocabularies: Statistical Fingerprints of Mozart and Schubert
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    Chapter 26 The Irrelative System in Tonal Harmony
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    Chapter 27 Mathematics and the Twelve-Tone System: Past, Present, and Future
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    Chapter 28 Approaching Musical Actions
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    Chapter 29 A Transformational Space for Elliott Carter’s Recent Complement-Union Music
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    Chapter 30 Networks
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    Chapter 31 From Mathematica to Live Performance: Mapping Simple Programs to Music
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    Chapter 32 Nonlinear Dynamics of Networks: Applications to Mathematical Music Theory
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    Chapter 33 Form, Transformation and Climax in Ruth Crawford Seeger’s String Quartet, Mvmt. 3
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    Chapter 34 A Local Maximum Phrase Detection Method for Analyzing Phrasing Strategies in Expressive Performances
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    Chapter 35 Subgroup Relations among Pitch-Class Sets within Tetrachordal K-Families
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    Chapter 36 K-Net Recursion in Perlean Hierarchical Structure
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    Chapter 37 Webern’s Twelve-Tone Rows through the Medium of Klumpenhouwer Networks
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    Chapter 38 Isographies of Pitch-Class Sets and Set Classes
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    Chapter 39 The Transmission of Pythagorean Arithmetic in the Context of the Ancient Musical Tradition from the Greek to the Latin Orbits During the Renaissance: A Computational Approach of Identifying and Analyzing the Formation of Scales in the De Harmonia Musicorum Instrumentorum Opus (Milan, 1518) of Franchino Gaffurio (1451–1522)
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    Chapter 40 Combinatorial and Transformational Aspects of Euler’s Speculum Musicum
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    Chapter 41 Structures Ia Pour Deux Pianos by Boulez: Towards Creative Analysis Using OpenMusic and Rubato
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    Chapter 42 The Sieves of Iannis Xenakis
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    Chapter 43 Tonal, Atonal and Microtonal Pitch-Class Categories
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    Chapter 44 Using Mathematica to Compose Music and Analyze Music with Information Theory
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    Chapter 45 A Diatonic Chord with Unusual Voice-Leading Capabilities
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    Chapter 46 Mathematical and Musical Properties of Pairwise Well-Formed Scales
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    Chapter 47 Eine Kleine Fourier Musik
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    Chapter 48 WF Scales, ME Sets, and Christoffel Words
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    Chapter 49 Interval Preservation in Group- and Graph-Theoretical Music Theories: A Comparative Study
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    Chapter 50 Pseudo-diatonic Scales
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    Chapter 51 Affinity Spaces and Their Host Set Classes
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    Chapter 52 The Step-Class Automorphism Group in Tonal Analysis
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    Chapter 53 A Linear Algebraic Approach to Pitch-Class Set Genera
Attention for Chapter 24: Computational Analysis Workshop: Comparing Four Approaches to Melodic Analysis
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Chapter title
Computational Analysis Workshop: Comparing Four Approaches to Melodic Analysis
Chapter number 24
Book title
Mathematics and Computation in Music
Published by
Springer, Berlin, Heidelberg, May 2007
DOI 10.1007/978-3-642-04579-0_24
Book ISBNs
978-3-64-204578-3, 978-3-64-204579-0
Authors

Chantal Buteau, Kamil Adiloĝlu, Olivier Lartillot, Christina Anagnostopoulou, Buteau, Chantal, Adiloĝlu, Kamil, Lartillot, Olivier, Anagnostopoulou, Christina

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Brazil 1 20%
Unknown 4 80%

Demographic breakdown

Readers by professional status Count As %
Other 1 20%
Student > Doctoral Student 1 20%
Professor 1 20%
Student > Ph. D. Student 1 20%
Researcher 1 20%
Other 0 0%
Readers by discipline Count As %
Computer Science 4 80%
Arts and Humanities 1 20%