{"product_id":"introduction-to-the-mathematics-of-music-1","title":"Introduction to the Mathematics of Music","description":"\u003cp\u003e\u003cb\u003eIntroduction to the Mathematics of Music\u003c\/b\u003e is aimed at helping bridge the substantial gap between a classical musician culture and the universe of mathematical notions in music. It explains the necessary notions, starting from scratch, with rigour but without any unnecessary formalism. It was developed from a course given in Perpignan, France, for a bachelor in Music theory.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eAfter a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of \u003ci\u003epitch-classes\u003c\/i\u003e and \u003ci\u003epc-sets\u003c\/i\u003e as elements and subsets of the integers modulo 12.\u003c\/li\u003e\n\u003cli\u003eTranspositions and inversions, traditional musical operations, are formalized in that context. Symmetries and structures are studied efficiently with these tools — for instance linking Olivier Messiaen’s forgotten \u003ci\u003eModes of Limited Transposition\u003c\/i\u003e with subgroups of the dihedral group D12.\u003c\/li\u003e\n\u003cli\u003eThe book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.\u003c\/li\u003e\n\u003cli\u003eA wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThis text is primarily intended for serious music students who intend to develop the ability to understand the current research in mathematical music. Some prior knowledge of music theory (non mathematical) is an asset. It is hoped that the style of presentation, together with the numerous exercises, might also be a source of pedagogical inspiration for teachers and students even in so called `pure’ mathematics.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":56643599991128,"sku":"9781041168164","price":45.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781041168164.jpg?v=1778769926","url":"https:\/\/agendabookshop.com\/products\/introduction-to-the-mathematics-of-music-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}