For three decades, Anthony Braxton has been alternately celebrated, dismissed, and attacked for his musical innovations. His ambitious efforts to reconcile and personalize the historically divergent and often conflicting worldviews and principles of African-American (jazz), American Experimental (post-Ives), and Western European (post-serial) traditions have attracted both loyal supporters and passionate critics. Mike Heffley has followed Braxton's widely varied music from its beginning, and in 1988 began a professional musical relationship with him. His biography of Braxton's music is...