{"product_id":"exploring-musical-spaces-a-synthesis-of-mathematical-approaches-hardcover","title":"Exploring Musical Spaces: A Synthesis of Mathematical Approaches - Hardcover","description":"\u003cp\u003eby \u003cb\u003eJulian Hook\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003cem\u003eExploring Musical Spaces\u003c\/em\u003e is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying\u003cbr\u003emusical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.\u003cbr\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eJulian Hook\u003c\/strong\u003e holds PhDs in both mathematics and music theory, as well as graduate degrees in architecture and piano performance. His work involving mathematical approaches to the study of music has appeared primarily in music theory journals but also at conferences of the American Mathematical Society and in the pages of \u003cem\u003eScience\u003c\/em\u003e. Since 2003 he has taught at Indiana University, where he is a former chair of the music theory department. He is a past president of Music Theory Midwest and was the founding reviews editor of the \u003cem\u003eJournal of Mathematics and Music\u003c\/em\u003e.\u003cbr\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 680\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.45 x 10.06 x 7.36 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 25, 2022\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":51784300495136,"sku":"9780190246013","price":160.74,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/9764\/5344\/files\/d94f1478a008176a4c8c7fc1a4dcd681.webp?v=1780603158","url":"https:\/\/ebocreations.com\/products\/exploring-musical-spaces-a-synthesis-of-mathematical-approaches-hardcover","provider":"The E-Book Oasis LLC","version":"1.0","type":"link"}