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The book delves into advanced applications of the discrete Fourier transform (DFT) in analyzing musical structures like rhythms and scales. It covers complex topics such as pitch-class distributions, homometry, and the phase retrieval problem. Additionally, it explores nil Fourier coefficients, saliency, and the transition to continuous Fourier transforms, providing insights into the significance of Fourier coefficient phases. This comprehensive examination highlights the intersection of music theory and mathematical analysis.
Buchkauf
Music Through Fourier Space, Emmanuel Amiot
- Sprache
- Erscheinungsdatum
- 2016
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- Music Through Fourier Space
- Untertitel
- Discrete Fourier Transform in Music Theory
- Sprache
- Englisch
- Autor*innen
- Emmanuel Amiot
- Erscheinungsdatum
- 2016
- Einband
- Hardcover
- Seitenzahl
- 224
- ISBN13
- 9783319455808
- Kategorie
- Musikbücher, Sozialwissenschaften, Mathematik
- Beschreibung
- The book delves into advanced applications of the discrete Fourier transform (DFT) in analyzing musical structures like rhythms and scales. It covers complex topics such as pitch-class distributions, homometry, and the phase retrieval problem. Additionally, it explores nil Fourier coefficients, saliency, and the transition to continuous Fourier transforms, providing insights into the significance of Fourier coefficient phases. This comprehensive examination highlights the intersection of music theory and mathematical analysis.