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This book focuses on the shift in the perception of music by educated classes, from the Greek view as an essentially rational enterprise to the modern view as an essentially artistic enterprise. One of the main parties responsible for the decline of the Greek view was Joseph Sauveur. Although historians universally acknowledge his foundational contributions to the evolution of music, there is a paucity of comprehensive scholarship on his life and work. This book aims to address this gap. A mathematician contemporary of Newton and Leibniz, Sauveur was admitted to the Académie des sciences of Paris in 1696. He then began seeking to establish the science of sound on an equal footing with optics, claiming that it could no longer be considered a branch of music. He proposed the name acoustics, which was perhaps not entirely new. To better understand Sauveur's role in abandoning the Greek view, this paper briefly examines the evolution of music. First, it looks at ancient Greece, where the view originated. Then, it examines the early scientific era, when the shift in view began. Finally, the paper explains Helmholtz's contributions to the development of modern acoustics, which built upon Sauveur's work.