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Abstract: We show that it can be considered some of Bach pitches series as a stochasticprocess with scaling behavior. Using multifractal deterend fluctuation analysisMF-DFA method, frequency series of Bach pitches have been analyzed. In thisview we find same second moment exponents after double profiling in ranges1.7-1.8 in his works. Comparing MF-DFA results of original series to thosefor shuffled and surrogate series we can distinguish multifractality due tolong-range correlations and a broad probability density function. Finally wedetermine the scaling exponents and singularity spectrum. We conclude fat tailhas more effect in its multifractality nature than long-range correlations.



Autor: G. R. Jafari, P. Pedram, L. Hedayatifar

Fuente: https://arxiv.org/







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