LNAI 7937 - Mathematics and Computation in Music
نویسندگان
چکیده
The present paper is concerned with the existence, meaning and use of the phases of the (complex) Fourier coefficients of pc-sets, viewed as maps from ZZc to C. It explores a particular cross-section of the most general torus of phases, representing pc-sets by the phases of the third and fifth coefficients. On this 2D torus, triads take on the wellknown configuration of the Tonnetz. Some other (sequences of) chords are viewed in this space as examples of its musical relevance. The end of the paper uses the model as a convenient universe for drawing gestures – continuous paths between pc-sets.
منابع مشابه
شکل‌گیری فضا در اثر پیوند مفهومی «موسیقی – ریاضی» و معماری (مطالعه‌ی موردی: جلوخان و آسمانهِ گنبدخانهِ مسجدِ شیخ‌لطف‌الله اصفهان)
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