Musical creativity

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This book introduces a novel approach to musical creativity, exploring semiotics, mathematical principles, and software involved in creative processes. It begins with a comprehensive introduction, followed by a practical tutorial designed for students in composition and improvisation, utilizing musical instruments and software. The theoretical section examines historical and contemporary principles of creative processes in music, drawing on insights from the author’s previous work and referencing semiotics, predicative objects, topos theory, and object-oriented architectures. The book also includes four case studies in musical creativity, such as an analysis of Beethoven's sonata op. 109, a discussion on a 2011 CD co-produced by the authors, a recomposition of Boulez’s "Structures pour deux pianos" using the BigBang software module, and the application of the Escher theorem from mathematical gesture theory in music. This work serves as both a textbook for undergraduate and graduate students of music composition and improvisation and a comprehensive survey for researchers in creativity studies and music technology. It features summaries and end-of-chapter questions, and has been utilized as a key resource in teaching creativity studies and composition, supported by musical score examples throughout.