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Given the mean superficial density of this tone cluster, what is the probability of a particular density occurring in a given region of the intensity-pitch space ? Poisson’s Law answers this question :
假设给定的时值和在此时值内实现的强度-音高空间中定义的一组声音-点。给定这个音调组(tone cluster)的平均表面密度,在强度-音高空间的给定区域中出现特定密度的概率是多少?泊松定律回答了这个问题: \[P_{\mu}=\frac{\mu_{\mu}^{0}}{\mu!}e^{-\mu_{0}},\] where \(\mu_{0}\) is the mean density and \(\mu\) is any particular density.