Mathematics and Computation in Music

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 AnalysisWorkshop: 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

Dr. Thomas Noll, geboren 1962, Studium der Kunstgeschichte, der Klassischen Archäologie sowie der Mittleren und Neueren Geschichte in Göttingen und Heidelberg. 1991 Promotion in Göttingen, danach Forschungsstipendiat am Zentralinstitut für Kunstgeschichte in München. 2001 Habilitation. Lehrtätigkeit in Augsburg und Göttingen. Zahlreiche Veröffentlichungen - hauptsächlich zur Kunst des späten Mittelalters, des 19. und frühen 20. Jahrhunderts.