Both modern mathematical music theory and computer science are strongly influenced by the theory of categories and functors. One outcome of this research is the data format of denotators, which is based on set-valued presheaves over the category of modules and diaffine homomorphisms. The functorial approach of denotators deals with generalized points in the form of arrows and allows the construction of a universal concept architecture. This architecture is ideal for handling all aspects of music, especially for the analysis and composition of highly abstract musical works.
This book...
Both modern mathematical music theory and computer science are strongly influenced by the theory of categories and functors. One outcome of this re...
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,...
This book represents a new approach to musical creativity, dealing with the semiotics, mathematical principles, and software for creativity process...
Let s try to play the music and not the background. Ornette Coleman, liner notes of the LP Free Jazz 20] WhenIbegantocreateacourseonfreejazz, theriskofsuchanenterprise was immediately apparent: I knew that Cecil Taylor had failed to teach such a matter, and that for other, more academic instructors, the topic was still a sort of outlandish adventure. To be clear, we are not talking about tea- ing improvisation here a di?erent, and also problematic, matter rather, we wish to create a scholarly discourse about free jazz as a cultural achievement, and follow its genealogy from the American jazz...
Let s try to play the music and not the background. Ornette Coleman, liner notes of the LP Free Jazz 20] WhenIbegantocreateacourseonfreejazz, therisk...
This book fills a gap between theory and creativity in musicianship. This frequently observed gap fixes theory as a rigidified level of thought, where creativity is excluded from a canonized corpus of ideas. Creativity, on the other hand, is preconceived as a theory-less, wild activity that blossoms while performing pre-composed musical structures. This book provides a discussion of the creative drive in theory and theory-inspired thoughts while understanding how these ideas shape performance. The future of music is only as limited as one's imagination, and, to this end, the text illuminates...
This book fills a gap between theory and creativity in musicianship. This frequently observed gap fixes theory as a rigidified level of thought, where...