Abstract
We analyze the concept of virtuosity as a collective attribute in music and its relationship with the entropy based on an experiment that compares two sets of digital signals played by composer-performer electric guitarists. Based on an interdisciplinary approach related to the complex systems, we computed the spectrum of signals, identified statistical distributions that best describe them, and measured the Shannon entropy to establish their diversity. Findings suggested that virtuosity might be related to a range of entropy values that identify levels of diversity of the frequency components of audio signals. Despite the presence of different values of entropy in the two sets of signals, they are statistically similar. Therefore, entropy values can be interpreted as levels of virtuosity in music.
Abstract (translated)
我们将音乐中的技巧性作为一个集体属性来分析，并探讨其与熵的关系。我们通过对比两位作曲家演奏的电吉他产生的两组数字信号来实施一个实验。基于复杂系统的跨学科方法，我们计算了信号的频谱，找到了最能描述它们的统计分布，并测量了香农熵来确定它们的多样性。研究结果表明，技巧性可能与音频信号中频率分量的多样性有关。尽管两组信号中存在不同的熵值，但它们在统计上是相似的。因此，熵值可以解释为音乐中的技巧水平。
URL
https://arxiv.org/abs/2404.16259
