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This book offers an in-depth analysis of musical variation through a systematic approach, heavily influenced by the principles of Grundgestalt and developed variations, both created by the Austrian composer Arnold Schoenberg (1874-1951). The author introduces a new transformational-derivative model and the theory that supports it, specifically crafted for the examination of tonal music. The idea for this book emerged during a sabbatical at Columbia University, while the content is the product of extensive research conducted at the Federal University of Rio de Janeiro, resulting in the development of the Model of Derivative Analysis. This model places emphasis on the connections between musical entities rather than viewing them as separate entities. As a case study, the Intermezzo in A Major Op.118/2 by Brahms is selected for analysis. The author's goal is to provide a formal and structured approach while maintaining the text's readability and appeal for both musicians and mathematicians in the field of music theory. The book concludes with the author's recommendations for further research.

Music—Mathematics. --- Mathematics. --- Mathematics in Music. --- Applications of Mathematics. --- Math --- Science

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Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.

Music --- Musical perception. --- Acoustics and physics. --- Mathematics. --- Musical perception --- Acoustics and physics --- Mathematics --- 78.86.1 --- Auditory perception --- Musical acoustics --- Physics --- Sound --- Monochord --- Psychological aspects --- Music theory --- Mathematical Sciences --- General and Others --- Music - Acoustics and physics --- Music - Mathematics

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This book presents an overview of the emerging field of emotion in videogame soundtracking. The emotional impact of music has been well-documented, particularly when used to enhance the impact of a multimodal experience, such as combining images with audio as found in the videogames industry. Soundtracking videogames presents a unique challenge compared to traditional composition (for example film music) in that the narrative of gameplay is non-linear – Player dependent actions can change the narrative and thus the emotional characteristics required in the soundtrack.  Historical approaches to emotion measurement, and the musical feature mapping and music selection that might be used in video game soundtracking  are outlined,  before a series of cutting edge examples are given.  These examples include algorithmic composition techniques, automated emotion matching from biosensors, motion capture techniques, emotionally-targeted speech synthesis and signal processing, and automated repurposing of existing music (for example from a players own library). The book concludes with some possibilities for the future.

User interfaces (Computer systems) --- Computer science. --- Music. --- User interfaces (Computer systems). --- Multimedia systems. --- Mathematics. --- Computer Science. --- User Interfaces and Human Computer Interaction. --- Media Design. --- Game Development. --- Mathematics in Music. --- Interfaces, User (Computer systems) --- Human-machine systems --- Human-computer interaction --- Computer games—Programming. --- Informatics --- Science --- Art music --- Art music, Western --- Classical music --- Musical compositions --- Musical works --- Serious music --- Western art music --- Western music (Western countries) --- Multimedia systems . --- Math --- Computer-based multimedia information systems --- Multimedia computing --- Multimedia information systems --- Multimedia knowledge systems --- Information storage and retrieval systems --- Human-computer interaction. --- Interactive multimedia. --- Music—Mathematics. --- Hypermedia systems --- Interactive media --- Computer software --- Computer-human interaction --- Human factors in computing systems --- Interaction, Human-computer --- Human engineering --- User-centered system design --- Video games --- Programming.