Amiot emmanuel (107 resultados)

Paperback. Condición: New. This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems. Softcover reprint of the original 1st ed. 2016.…

Condición: New. In English.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Condición: Neuf.

Condición: New.

Condición: New.

Paperback. Condición: New. Introduction to the Mathematics of Music 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.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions 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 Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This 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.…

Paperback or Softback. Condición: New. Introduction to the Mathematics of Music. Book.

Condición: New.

Paperback. Condición: New. Introduction to the Mathematics of Music 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.After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12.Transpositions 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 Modes of Limited Transposition with subgroups of the dihedral group D12.The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline.A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil.This 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.…

Hardback. Condición: New. 1st ed. 2016.

Paperback. Condición: New. Brand new book, sourced directly from publisher. Dispatch time is 6-7 days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely.

Condición: New.

Condición: As New. Unread book in perfect condition.

Condición: New. In English.

Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9783642215896. …

Condición: As New. Unread book in perfect condition.

Condición: New.

Condición: New.

Condición: New.

Condición: New. pp. XV, 206 129 illus., 45 illus. in color. 1 Edition NO-PA16APR2015-KAP.

Condición: New.

Paperback / softback. Condición: New. New copy - Usually dispatched within 4 working days.

Condición: As New. Unread book in perfect condition.

Condición: NEW.

Paperback. Condición: New.

Condición: New.

Paperback. Condición: Brand New. 2011 edition. 390 pages. 9.00x6.00x1.00 inches. In Stock.

Taschenbuch. Condición: Neu. Neuware - Introduction to the Mathematics of Music 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. - After a mandatory outline of the seminal role of numbers in music, based on the equations of consonance, the book introduces the essential formalisation of pitch-classes and pc-sets as elements and subsets of the integers modulo 12. - Transpositions 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 Modes of Limited Transposition with subgroups of the dihedral group D12. - The book ends with a sampling of the geometrical models of musical spaces that mark the modern era in the discipline. - A wealth of exercises (and indications of solutions) is provided, since the notions exposed are better assimilated with paper and pencil. This 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.…

Condición: New.