Words as block of notes and Zipf law in music using visibility algorithm

Miguel Sanchez Islas

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arXiv · 1706.09535

Words as block of notes and Zipf law in music using visibility algorithm

Miguel Sanchez Islas

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Abstract

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.

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Miguel Sanchez Islas. 2017-06-29. Words as block of notes and Zipf law in music using visibility algorithm. https://arxiv.org/abs/1706.09535

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