Mathematics and Computation in Music

This book constitutes the refereed proceedings of the First International Conference on Mathematics and Computation in Music, MCM 2007, held in Berlin, Germany, in May 2007.

The 51 papers presented were carefully reviewed and selected from numerous submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. The papers deal with topics within applied mathematics, computational models, mathematical modelling and verious further aspects of the theory of music.

Texte du rabat

This volume comprises a selection of papers presented at the first International C- ference on Mathematics and Computation in Music - mcm2007. The conference took place at the Staatliches Institut für Musikforschung PK - National Institute for Music Research in Berlin during May 18-20, 2007 and was jointly organized by the National Institute for Music Research Berlin and the Society of Mathematics and Computation in Music. The papers were selected for the conference by the program committee and classfied into talks and posters. All papers underwent further selection, revision and elaboration for this book publication. The articles cover a research field which is heterogeneous with respect to content, scientific language and methodology. On one hand, this reflects the heterogeneity and richness of the musical subject domain itself. On the other hand, it exemplifies a t- sion which has been explicitly intended by both the organizers and the founders of the society, namely to support the integration of mathematical and computational - proaches to music theory, composition, analysis and performance. The subdivision into three parts reflects the original structure of the program. These parts are opened by invited papers and followed by talks and posters.

Contenu

Mathematical Modeling and Computation in Music.- Rhythm and Transforms, Perception and Mathematics.- Visible Humour - Seeing P.D.Q. Bach's Musical Humour Devices in The Short-Tempered Clavier on the Spiral Array Space.- Category-Theoretic Consequences of Denotators as a Universal Data Format.- Normal Form, Successive Interval Arrays, Transformations and Set Classes: A Re-evaluation and Reintegration.- A Model of Musical Motifs.- Melodic Clustering within Motivic Spaces: Visualization in OpenMusic and Application to Schumann's Träumerei.- Topological Features of the Two-Voice Inventions.- Comparing Computational Approaches to Rhythmic and Melodic Similarity in Folksong Research.- Automatic Modulation Finding Using Convex Sets of Notes.- On Pitch and Chord Stability in Folk Song Variation Retrieval.- Bayesian Model Selection for Harmonic Labelling.- The Flow of Harmony as a Dynamical System.- Tonal Implications of Harmonic and Melodic Tn-Types.- Calculating Tonal Fusion by the Generalized Coincidence Function.- Predicting Music Therapy Clients' Type of Mental Disorder Using Computational Feature Extraction and Statistical Modelling Techniques.- Nonlinear Dynamics, the Missing Fundamental, and Harmony.- Dynamic Excitation Impulse Modification as a Foundation of a Synthesis and Analysis System for Wind Instrument Sounds.- Non-linear Circles and the Triple Harp: Creating a Microtonal Harp.- Applying Inner Metric Analysis to 20th Century Compositions.- Tracking Features with Comparison Sets in Scriabin's Study op. 65/3.- Computer Aided Analysis of Xenakis-Keren.- Automated Extraction of Motivic Patterns and Application to the Analysis of Debussy's Syrinx.- Pitch Symmetry and Invariants in Webern's Sehr Schnell from Variations Op.27.- Computational Analysis Workshop: Comparing Four Approaches to Melodic Analysis.- Computer-Aided Investigation of Chord Vocabularies: Statistical Fingerprints of Mozart and Schubert.- The Irrelative System in Tonal Harmony.- Mathematical Approaches to Music Analysis and Composition.- Mathematics and the Twelve-Tone System: Past, Present, and Future.- Approaching Musical Actions.- A Transformational Space for Elliott Carter's Recent Complement-Union Music.- Networks.- From Mathematica to Live Performance: Mapping Simple Programs to Music.- Nonlinear Dynamics of Networks: Applications to Mathematical Music Theory.- Form, Transformation and Climax in Ruth Crawford Seeger's String Quartet, Mvmt. 3.- A Local Maximum Phrase Detection Method for Analyzing Phrasing Strategies in Expressive Performances.- Subgroup Relations among Pitch-Class Sets within Tetrachordal K-Families.- K-Net Recursion in Perlean Hierarchical Structure.- Webern's Twelve-Tone Rows through the Medium of Klumpenhouwer Networks.- Isographies of Pitch-Class Sets and Set Classes.- 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).- Combinatorial and Transformational Aspects of Euler's Speculum Musicum.- Structures Ia Pour Deux Pianos by Boulez: Towards Creative Analysis Using OpenMusic and Rubato.- The Sieves of Iannis Xenakis.- Tonal, Atonal and Microtonal Pitch-Class Categories.- Using Mathematica to Compose Music and Analyze Music with Information Theory.- Mathematical Approaches to Music Theory.- A Diatonic Chord with Unusual Voice-Leading Capabilities.- Mathematical and Musical Properties of Pairwise Well-Formed Scales.- Eine Kleine Fourier Musik.- WF Scales, ME Sets, and Christoffel Words.- Interval Preservation in Group- and Graph-Theoretical Music Theories: A Comparative Study.- Pseudo-diatonic Scales.- Affinity Spaces and Their Host Set Classes.- The Step-Class Automorphism Group in Tonal Analysis.- A Linear Algebraic Approach to Pitch-Class Set Genera.