|
Showing 1 - 3 of
3 matches in All Departments
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.
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.
|
Mathematics and Computation in Music - Third International Conference, MCM 2011, Paris, France, June 15-17, 2011. Proceedings (Paperback, Edition.)
Carlos Agon, Emmanuel Amiot, Moreno Andreatta, Gerard Assayag, Jean Bresson, …
|
R1,586
Discovery Miles 15 860
|
Ships in 10 - 15 working days
|
This book constitutes the refereed proceedings of the Third
International Conference on Mathematics and Computation in Music,
MCM 2011, held in Paris, France, in June 2011. The 24 revised full
papers presented and the 12 short papers were carefully reviewed
and selected from 62 submissions. The MCM conference is the
flagship conference of the Society for Mathematics and Computation
in Music. This year's conference aimed to provide a
multi-disciplinary platform dedicated to the communication and
exchange of ideas amongst researchers involved in mathematics,
computer science, music theory, composition, musicology, or other
related disciplines. Areas covered were formalization and
geometrical representation of musical structures and processes;
mathematical models for music improvisation and gestures theory;
set-theoretical and transformational approaches; computational
analysis and cognitive musicology as well as more general
discussions on history, philosophy and epistemology of music and
mathematics.
|
You may like...
Top Five
Rosario Dawson, Cedric The Entertainer, …
Blu-ray disc
R40
Discovery Miles 400
|