Mathematics and Computation in Music, Fachbücher von Octavio A. Agustín-Aquino, Emilio Lluis-Puebla, Mariana Montiel

Primal-Circular Substitutions.- On the Group of Transformations of Classical Types of Seventh Chords.- Pairwise Well-Formed Modes and Transformations.- Homometry in the Dihedral Groups: Lifting Sets from Zn to Dn.- A Symmetric Quantum Theory of Modulation in Z20.- Almost Difference Sets in Transformational Music Theory.- Algebra of Harmony.- Developing Software for Dancing Tango in Compás.- Using Inharmonic Strings in Musical Instruments.- Real-Time Compositional Procedures for Mediated Soloist-Ensemble Interaction: The Comprovisador.- Strange Symmetries.- Interval Content vs. DFT.- Probing Questions about Keys: Tonal Distributions through the DFT.- Abstract Gestures: A Unifying Concept in Mathematical Music Theory.- Mathematical Music Theory and the Musical Math Game - Two Creative Ontological Switches.- Hamiltonian Graphs as Harmonic Tools.- New Investigations in Rhythmic Oddity.- Polytopic Graph of Latent Relations: A Multiscale Structure Model for Music Segments.- Dynamic Time Warping for Automatic Musical Form Identification in Symbolical Musical Files.- Identification and Evolution of Musical Style I: Hierarchical Transition Networks and their Modular Structure.- A Fuzzy-Clustering Based Approach for Measuring Similarity Between Melodies.- The Evolution of Tango Harmony, 1910-1960.- Determination of Compositional Systems through Systemic Modelling.- A Cluster Analysis for Mode Identification in Early Music Genres.- Cross Entropy as a Measure of Coherence and Uniqueness.- Complementary Collection and Ligeti's Combinatorial Tonality.- Probabilistic Generation of Ragtime Music from Classical Melodies.- Using Probabilistic Parsers to Support Composition of Salsa Music.