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. 2011 Oct 26;6(10):e26457. doi: 10.1371/journal.pone.0026457

Figure 2. Evidence for long-range correlations in time series of deviations for the rhythmic tasks of table 1 .

Figure 2

The tasks correspond to complex drum sequences (Inline graphic) and rhythmic vocal sounds (Inline graphic) (A) and are compared to hand tapping on the drumhead of a drum (Inline graphic) (B). The time series analysis reveals Gaussian Inline graphic-noise for the entire data set. The exponents Inline graphic obtained by different methods, maximum likelihood estimation (incl. confidence intervals), detrended fluctuation analysis (DFA) and PSD show overall good agreement. Task indices separated by vertical dashed lines in Fig. 2B are recordings from different test subjects each recorded at two different metronome tempi: Inline graphic BPM (even index) and Inline graphic BPM (odd index). In (C) a DFA analysis for three representative time series is shown, corresponding to drumming a complex pattern where hands and feet are simultaneously involved (top), and tasks taken from Inline graphic (middle) and Inline graphic (bottom curve). The upper two curves are offset vertically for clarity. The curves clearly exhibit a power law scaling Inline graphic and demonstrate LRC in the time series. The total length of the time series is Inline graphic.