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    Please use this identifier to cite or link to this item: http://ir.cnu.edu.tw/handle/310902800/22173

    標題: Music Walk, Fractal Geometry in Music
    作者: Zhi-Yuan Su
    Tzuyin Wu
    貢獻者: 資訊管理系
    關鍵字: Music walk
    Fractional Brownian motion (fBm)
    Long-range correlation
    Hurst exponent
    Power spectrum
    日期: 2007-07
    上傳時間: 2010-01-11 11:12:42 (UTC+8)
    摘要: In this study, sequences of musical notes from various pieces of music are converted into one-variable random walks (here termed ‘music walks’). Quantitative measurements of the properties of each musical composition are then performed by applying Hurst exponent and Fourier spectral analyses on these music-walk sequences. Our results show that music shares the similar fractal properties of a fractional Brownian motion (fBm). That is, music displays an anti-persistent trend in its tone changes (melody) over decades of musical notes; and music sequence exhibits generally the 1/fβ-type spectrum (fractal property), with apparently two different β values in two different temporal scales.
    關聯: Physica A: Statistical Mechanics and its Applications 380(1) : p.418-428
    Appears in Collections:[資訊管理系] 期刊論文

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