中文摘要：

音乐节奏通常被认为是很有规律的，而其中突然的变化则给人新奇感．在音乐欣赏中，这种规则与变化的平衡和交替形成了独特的韵律美感．从数理的角度研究这种变化规律是人们一直关心的科学问题。选取4类不同的中国乐曲共123首，包括古曲、流行乐、儿歌以及地方戏曲，应用多窗谱分析对其节奏谱分布进行了计算。结果显示，多数乐曲的标度指数在0．5～1之间，其中古曲的指数最大，在0．8左右，且与其他3类有显著差异。这表明中国音乐的节奏与自然界诸多现象一样，具有无标度性，体现了“天人合一”的思想。

英文摘要：

The music rhythm is considered very regular, and the unexpected changes give some surprise to the listeners. In music apreciation, the special rhythm aesthetics comes from its balance and altering of the regularity and change. To reveal this rule from mathematic and physic view is a scientific question which is concerned by people. 123 pieces of Chinese music are selected from four kinds, including ancient music, children＇s songs, popular music and traditional opera; the multitaper spectra analysis is utilized to compute the power spectra of these music pieces. The results show that the scale exponents of most music pieces range from 0.5 to 1, and the ancient music has the largest exponent about 0.8, a significant difference from the other three kinds. The research reveals that the rhythm of Chinese music is scale-free as same as the natural phenomena, representing the theory of ＂the harmony of human and nature＂.