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Analysis of turkish art music songs via fractal dimension

Tarikci, Abdurrahman
Forty songs are randomly selected from four randomly selected maqams. Songs are restricted to be in sofyan usül (sofyan rhythmic form) to check the statistical significance. Next, fractal dimensions of the these songs are calculated by using two different method and two different scattering diagrams. In the first method, fractal dimensions are calculated via two different box sizes. As for second method, successively decreased box sizes are used. In addition, standard deviation and mean values of the fractal dimensions are calculated to check the relation between fractal dimension and maqam. T test and F test are applied to check the statistical significance. After these calculations, it is verified that fractal dimension can be used as an information source concerning the Turkish art music songs which are nonlinear dynamical systems. Moreover, it is showed that maqams can have their own fractal dimension for low resolutions. On the other hand, it is seen that for high resolutions all songs have almost same fractal dimension.