University Of Illinois Press Arithmetic of listening, hardback/***

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Tuning is the secret lens through which the history of music falls into focus, says Kyle Gann.

Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse.

A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them.

Moving from ancient Greece to the present,.