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What we think music is shapes how we hear it. This book traces the history of the idea of pure - 'absolute' - music from Pythagoras to the present, with special emphasis on efforts to reconcile the irreducible essence of the art with its profound effects on the human spirit. The core of this study focuses on the period 1850-1935, beginning with the collision between Richard Wagner and the Viennese critic Eduard Hanslick.