| 书目名称 | Music Through Fourier Space |
| 副标题 | Discrete Fourier Tra |
| 编辑 | Emmanuel Amiot |
| 视频video | |
| 概述 | First textbook dedicated to this subject.Supported throughout with examples and exercises, and online supplementary material.Suitable also for practitioners.Includes supplementary material: |
| 丛书名称 | Computational Music Science |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Textbook 2016 |
| 关键词 | Discrete Fourier Transform (DFT); Music Theory; Cyclic Groups; Tiling; Homometry; Saliency |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-45581-5 |
| isbn_softcover | 978-3-319-83323-1 |
| isbn_ebook | 978-3-319-45581-5Series ISSN 1868-0305 Series E-ISSN 1868-0313 |
| issn_series | 1868-0305 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 18:55:08
