Part I Introduction -- Chap. 1 What the Book Is About -- Chap. 2 Oniontology -- Part II Practice -- Chap. 3 The Tutorial -- Chap. 4 Leitfaden -- Chap. 5 The General Method of Creativity -- Chap. 6 Getting off the Ground -- Chap. 7 Motivational Aspects -- Chap. 8 Rhythmical Aspects -- Chap. 9 The Pitch Aspect -- Chap. 10 The Harmonic Aspect -- Chap. 11 Melodic Aspects -- Chap. 12 The Contrapuntal Aspect -- Chap. 13 Instrumental Aspects -- Chap. 14 Large Form Aspects -- Chap. 15 Community Aspects -- Chap. 16 Commercial Aspects -- Chap. 17 Dodecaphonic Aspects -- Part III Theory -- Chap. 18 Principles of Creative Pedagogy -- Chap. 19 Material -- Chap. 20 Historical Principles -- Chap. 21 Present Principles -- Chap. 22 Our Principles -- Chap. 23 First Examples -- Chap. 24 Psychological Perspectives -- Chap. 25 Software -- Chap. 26 Composition and Improvisation -- Part IV Case Studies -- Chap. 27 Ludwig van Beethoven’s Op109: Six Variations -- Chap. 28 Beethoven’s Op109: Improvisational Aspects -- Chap. 29 Our CD -- Chap. 30 Boulez: Structures Recomposed -- Chap. 31 The Escher Theorem -- Part V Future Perspectives -- Chap. 32 Is There a General Scheme for Creativity? -- Chap. 33 The Balanced Dancing Performer -- References -- Bibliography.

This book represents a new approach to musical creativity, dealing with the semiotics, mathematical principles, and software for creativity processes. After a thorough introduction, the book offers a first practical part with a detailed tutorial for students in composition and improvisation, using musical instruments and music software. The second, theoretical part deals with historical, actual, and new principles of creative processes in music, based on the results and methods developed in the first author’s book Topos of Music and referring to semiotics, predicative objects, topos theory, and object-oriented concept architectures. The third part of the book details four case studies in musical creativity, including an analysis of the six variations of Beethoven's sonata op. 109, a discussion of the creative process in a CD coproduced in 2011 by the first and second authors, a recomposition of Boulez’s "Structures pour deux pianos" using the Rubato software module BigBang developed by the third author, and the Escher theorem from mathematical gesture theory in music. This is both a textbook addressed to undergraduate and graduate students of music composition and improvisation, and also a state-of-the-art survey addressed to researchers in creativity studies and music technology. The book contains summaries and end-of-chapter questions, and the authors have used the book as the main reference to teach an undergraduate creativity studies program and also to teach composition. The text is supported throughout with musical score examples.