基于可见性算法的音符块与齐普夫定律
Words as block of notes and Zipf law in music using visibility algorithm
摘要：
在这项工作中，我们的目的是研究音乐使用可见性算法。这种算法被用作从时间序列中获得网络的一种方法。然而本文的主要思想并不是从复杂网络的角度来研究音乐，而是把音乐作为一种语言来研究，基本上是把音乐中我们称之为\textit{words,}的东西在不同年龄段之间的变化。可见性算法为我们提供了一种切割时间序列并生成我们所研究的作曲家的单词的方法。我们研究了不同时代的古典音乐作曲家，从巴赫到肖斯塔科维奇。这部作品中的时间序列来自于古希腊的档案，这些序列是由古希腊档案中两个古希腊音符之间的绝对差异产生的。一旦我们有了我们的系列，我们就应用算法来生成单词。我们还使用了可见性算法，作为获得齐普夫定律的一种方法，因为我们首先发现，当我们使用可见性算法时，我们创建了一个自由尺度网络，所以我们决定取这个网络的子群，它也将是自由尺度的，并制作音乐词。
英文摘要：
In this work we were aimed to study music using visibility algorithms. This algorithms are used as a way to get a network, from a time series. However the main idea of this paper was not to study music from the perspective of complex networks, but to studying it as a lenguage, basically the changes in wath we call \textit{words,} between diferents ages in music. The visibility algorithm provide us a way to cut time series and generate the words, of the composers we where studying. We study clasical music composers from differents ages, from Bach to Schostakovish. Time series in this work came from MIDI archives and the series were generated by, the absolute diference between two adyacent notes, in the first voice in the MIDI archive. Once we had our series we apply the algorithm to generate words. The visibility algorihm was used also, as a way to get Zipf law becouse at first what we found was that when we used visibility algorithm we create a free-scale network, so we decided to take subgroup of this network that is going to be also free of scale, and make the musical words.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
