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In this work we investigate aperiodicities that occur in the sustained portion of a sound due to a phase synchronous versus unsynchronous deviations of the partials. By using an additive sinusoidal model, correlation statistics and phase effects are considered for various instruments. The phase coupling is shown to be an important characteristic of musical instrument. These analyses are compared to results from Higher Order Statistical analysis and are shown to be equivalent. General applications for sound synthesis are discussed and a simulation of phase fluctuations in string instrument is presented.