Symbolic Dynamics of Music from Europe and Japan
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866929389153812480 |
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| author | Basios, Vasileios De Gernier, Robin Oikonomou, Thomas |
| author_facet | Basios, Vasileios De Gernier, Robin Oikonomou, Thomas |
| contents | After a brief introduction to the theory underlying block-entropy, and its relation to the dynamics of complex systems as well as certain information theory aspects, we study musical texts coming from two distinct musical traditions (Japanese and Western European) encoded via symbolic dynamics. We quantify their information content or also known as the degree of "non-randomness" which essentially defines the complexity of the text. We analyse the departure of "total randomness" to the constrains underlying the dynamics of the symbol generating process. Following Shannon on his attribution to these constraints as the emergence of complexity, we observe that it can be accurately assessed by the texts' block-entropy versus block-length scaling laws. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1810_06119 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Symbolic Dynamics of Music from Europe and Japan Basios, Vasileios De Gernier, Robin Oikonomou, Thomas Chaotic Dynamics Data Analysis, Statistics and Probability 937B10, 4A17, 37M99, 37M10 A.m, J.5, J.2 After a brief introduction to the theory underlying block-entropy, and its relation to the dynamics of complex systems as well as certain information theory aspects, we study musical texts coming from two distinct musical traditions (Japanese and Western European) encoded via symbolic dynamics. We quantify their information content or also known as the degree of "non-randomness" which essentially defines the complexity of the text. We analyse the departure of "total randomness" to the constrains underlying the dynamics of the symbol generating process. Following Shannon on his attribution to these constraints as the emergence of complexity, we observe that it can be accurately assessed by the texts' block-entropy versus block-length scaling laws. |
| title | Symbolic Dynamics of Music from Europe and Japan |
| topic | Chaotic Dynamics Data Analysis, Statistics and Probability 937B10, 4A17, 37M99, 37M10 A.m, J.5, J.2 |
| url | https://arxiv.org/abs/1810.06119 |