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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 tradition through its various outbranchings,suchastheEuropeanandJapanesejazzconceptionsandint- pretations. We also wish to discuss some of the underlying mechanisms that are extant in free improvisation, things that could be called technical aspects. Such a discourse bears the ?avor of a contradicto in adjecto:Teachingthe unteachable, the very negation of rules, above all those posited by white jazz theorists, and talking about the making of sounds without aiming at so-called factual results and all those intellectual sedimentations: is this not a suicidal topic? My own endeavors as a free jazz pianist have informed and advanced my conviction that this art has never been theorized in a satisfactory way, not even by Ekkehard Jost in his unequaled, phenomenologically precise p- neering book ""Free Jazz"" [57].

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Managing innovation and spurring team creativity while working under constraints are key ingredients for success in today's industries. Surprisingly enough, there is an artistic domain in which such concerns are also paramount--jazz improvisation. While understanding how such multifarious collaborations can be encouraged and even nurtured is still a work in progress, this book offers some suggestions on how such endeavors can be approached and theorized, at least in the world of 20th century free jazz music.[...] In summary, the suggested line of thought about the science of collaboration is obviously still undergoing work, and some issues are somewhat abstruse. Anyone interested in the emergence of collaboration, be it in musical, artistic, or innovative processes, will get something out of this book. P. Jouvelot, ACM Computing Reviews, May 2009 [This book] is at once a contribution to mathematical music theory, the first volume in a Springer-Verlag series on computational music science, and a manifesto on contemporary free jazz as a cultural achievement. ... As a manifesto on the music of a most gifted mathematician, or the mathematically inflected thought of a gifted musician, Mazzola's book exhibits the kind of energy, vision and passion that he brings to his vocation, and we are richer for it. Charles Turner (2011): Book Review, Jazz Perspectives, 5:1, 105-109

Managing innovation and spurring team creativity while working under constraints are key ingredients for success in today s industries. Surprisingly enough, there is an artistic domain in which such concerns are also paramount--jazz improvisation. While understanding how such multifarious collaborations can be encouraged and even nurtured is still a work in progress, this book offers some suggestions on how such endeavors can be approached and theorized, at least in the world of 20th century free jazz music.[...] In summary, the suggested line of thought about the science of collaboration is obviously still undergoing work, and some issues are somewhat abstruse. Anyone interested in the emergence of collaboration, be it in musical, artistic, or innovative processes, will get something out of this book. P. Jouvelot, ACM Computing Reviews, May 2009 [This book] is at once a contribution to mathematical music theory, the first volume in a Springer-Verlag series on computational music science, and a manifesto on contemporary free jazz as a cultural achievement. ... As a manifesto on the music of a most gifted mathematician, or the mathematically inflected thought of a gifted musician, Mazzola s book exhibits the kind of energy, vision and passion that he brings to his vocation, and we are richer for it. Charles Turner (2011): Book Review, Jazz Perspectives, 5:1, 105-109

Managing innovation and spurring team creativity while working under constraints are key ingredients for success in today's industries. Surprisingly enough, there is an artistic domain in which such concerns are also paramount--jazz improvisation. While understanding how such multifarious collaborations can be encouraged and even nurtured is still a work in progress, this book offers some suggestions on how such endeavors can be approached and theorized, at least in the world of 20th century free jazz music.[...] In summary, the suggested line of thought about the science of collaboration is obviously still undergoing work, and some issues are somewhat abstruse. Anyone interested in the emergence of collaboration, be it in musical, artistic, or innovative processes, will get something out of this book. P. Jouvelot, ACM Computing Reviews, May 2009 [This book] is at once a contribution to mathematical music theory, the first volume in a Springer-Verlag series on computational music science, and a manifesto on contemporary free jazz as a cultural achievement. ... As a manifesto on the music of a most gifted mathematician, or the mathematically inflected thought of a gifted musician, Mazzola's book exhibits the kind of energy, vision and passion that he brings to his vocation, and we are richer for it. Charles Turner (2011): Book Review, Jazz Perspectives, 5:1, 105-109

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