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Review of Emmanuel Amiot, Music through Fourier Space: Discrete Fourier Transform in Music Theory (Springer, 2016)
Music Theory Online Pub Date : 2017-09-01 , DOI: 10.30535/mto.23.3.12
Jason Yust 1
Affiliation  

[2] Amiot’s book amply demonstrates that the DFT is relevant to a wide variety of musical questions—about rhythm, about pitch-class sets and interval content, and about tonality and nontonality—so many theorists will find something in the book relevant to questions in their own research. Within each of these topics, Amiot’s discourse varies between questions of primarily mathematical interest and those of more direct musical interest. Yet for a book that generally proceeds in the manner of mathematical writing, from definition to proposition and lemma to theorem, it laudably never strays far from immediately appreciable musical relevance.

中文翻译:

Emmanuel Amiot 回顾,通过傅立叶空间的音乐:音乐理论中的离散傅立叶变换(Springer,2016 年)

[2] Amiot 的书充分证明了 DFT 与各种各样的音乐问题相关——关于节奏、关于音高组和音程内容,以及关于调性和非调性——所以许多理论家会在书中找到与问题相关的东西在他们自己的研究中。在这些主题中的每一个中,Amiot 的论述在主要是数学兴趣的问题和更直接的音乐兴趣问题之间有所不同。然而,对于一本通常以数学写作的方式进行的书,从定义到命题,从引理到定理,值得称赞的是,它从来没有偏离立即可感知的音乐相关性。
更新日期:2017-09-01
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