-- Mathematical Scale Theory and Tuning. -- Quarter-Tone Music: A Tuning System Rooted in Natural Harmonic Series. -- An Exploration of the Discontinuous-Continuous Fusion in Yuunohui'tlapoa for Keyboard. -- Rhythm Analysis and Rhythm Generation. -- On Brazilian Drum Claves and Generating Rhythm Patterns out of Them. -- What Are "Good? Rhythms? Generating Rhythms Based on the Properties Set Out in The Geometry of Musical Rhythm. -- Euclidean Rhythm with Palindromic Rests. -- Categorical and Algebraic Approaches to Music. -- Finding homometric multiplets. -- The Sandwich-Lemma: The recursive structure of super-syntonic and super-diatonic automorphisms. -- Hidden Categories: a New Perspective on Lewin's Generalized Interval Systems and Klumpenhouwer Networks. -- Voice and Math: the Art of Singing in Light of Mathematical Music Theory. -- Structural and Transformational Relations between Z-related Hexachords. -- Quantum Music. -- Quantum Memory and Mathematical Gestures: two Perspectives on Verdi and Wagner. -- Intro to Quantum Harmony: Chords in Superposition. -- Quantum Tonality: A Mathemusical Playground. -- Theory and Algorithms for Melodic- Harmonic Analysis and Generation. -- Melody and Variation Generation Through KAM Theory. -- Modal Pitch Space: A Computational Model of Melodic Pitch Attraction in Folk Music. -- Persistent homology and harmonic analysis. -- Melodic Contour Generation with Spline Models of Cycles. -- Geometric Approaches to Musical Algorithms and Microtonality. -- I-Shaped Tiles in the Tonnetz. -- Advanced Polyphonic Music Pattern Matching Algorithms with Timing Invariances. -- Tonnetze and Tori for the 19-, 31-, and 53-Tone Equal Temperaments. -- A Model of Scores as Abstract Syntactic Trees. -- Piston words. -- Fourier Analysis for Music. -- DFT and Persistent Homology for Topological Musical Data Analysis. -- Fourier (Common-tone) Phase Spaces are in Tune with Variational Autoencoders? Latent Space. -- Fourier Qualia Wavescapes: Hierarchical Analyses of Set Class Quality and Ambiguity. -- Similarity and Distance Measures for Music. -- Towards measuring the distances of chords of different cardinalities. -- Assessing the compatibility between musical performance and tuning system. -- Short Papers. -- Advanced Visualization Techniques for Music Theory. -- Recurrence Relations: Rhythms. -- Mining Significant Sequential Contrast Patterns. -- Bits and Beats: computing rhythmic information as bitwise operations optimized for Machine Learning. -- Regular Temperament Theory: Exploring the Landscape between JI and ETs with Linear Algebra. -- Exploring mode Identification in Irish folk music with unsupervised machine learning and template-based techniques. -- Communication-Performances. -- Of All Interval Tetrachords and octatonic scales. -- Stages in my Vuza Rhythmic Canons. -- Configurations of Disjoint Augmentation Canons. -- Sonification of Wigner functions: case study of intense light-matter interactions. -- Tribute to Yves Hellegouarch. -- A Tribute to Yves Hellegouarch.

This book constitutes the refereed proceedings of the 9th International Conference on Mathematics and Computation in Music, MCM 2024, held in Coimbra, Portugal, during June 18-21, 2024. The 30 full papers and 9 short papers included in this book were carefully reviewed and selected from 45 submissions. They were organized in topical sections as follows: mathematical scale theory and tuning; rhythm analysis and rhythm generation; categorical and algebraic approaches to music; quantum music; theory and algorithms for melodic- harmonic analysis and generation; geometric approaches to musical algorithms and microtonality; fourier analysis for music; similarity and distance measures for music; short papers; communication-performances; and tribute to Yves Hellegouarch.