{"product_id":"the-math-behind-the-music-with-cdrom-9780521009355","title":"The Math Behind the Music [With CDROM]","description":"Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones, scales, and tuning systems - the musical dice game attributed to Mozart and Haydn - the several-hundred-year-old style of bell-playing known as ringing the changes - the twelve-tone school of composition that strongly influenced music throughout the 20th century and many other topics involving mathematical ideas from probability theory to Fourier series to group theory. He also relates some cautionary tales of misguided attempts to mix music and mathematics. Both the mathematical and the musical concepts are described in an elementary way, making the book accessible to general readers as well as to mathematicians and musicians of all levels. The book is accompanied by an audio CD of musical examples.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/01\/2006\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780521009355\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 143\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.75lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.40d\u003cbr\u003e\u003cbr\u003e\u003cstrong\u003eReview Citations: \u003c\/strong\u003e\u003ci\u003eUniv PR Books for Public Libry\u003c\/i\u003e 01\/01\/2007 pg. 1 - Strongly Recommended\u003cbr\u003e","brand":"Leon Harkleroad","offers":[{"title":"Default Title","offer_id":36638079320220,"sku":"9780521009355","price":31.44,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_9ca27bc7-b321-40b5-be87-aed945760120.jpg?v=1603846413","url":"https:\/\/pastforward.org\/products\/the-math-behind-the-music-with-cdrom-9780521009355","provider":"Past Forward","version":"1.0","type":"link"}