{"product_id":"a-compendium-of-musical-mathematics-9789811284366","title":"A Compendium of Musical Mathematics","description":"The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.\u003cbr\u003e","brand":"World Scientific Publishing Company","offers":[{"title":"Default Title","offer_id":50509983777042,"sku":"9789811284366","price":97.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_ee546ea3-2052-4774-b2b7-ee41fa9e9f20.jpg?v=1730913224","url":"https:\/\/surprise-castle.myshopify.com\/products\/a-compendium-of-musical-mathematics-9789811284366","provider":"Surprise Castle","version":"1.0","type":"link"}