Rank-Size Distribution of Notes in Harmonic Music: Hierarchic Shuffling of Distributions

Autor:	Manuel Beltrán del Río, Germinal Cocho
Rok vydání:	2009
Předmět:	symbols.namesake Distribution (mathematics) Shuffling Zipf's law Statistics symbols Harmonic (mathematics) Pareto distribution Beta distribution Power law Rank-size distribution Mathematics
Zdroj:	Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering ISBN: 9783642024689 Complex (2)
DOI:	10.1007/978-3-642-02469-6_98
Popis:	We trace the rank size distribution of notes in harmonic music, which on previous works we suggested was much better represented by the Two-parameter, first class Beta distribution than the customary power law, to the ranked mixing of distributions dictated by the harmonic and instrumental nature of the piece. The same representation is shown to arise in other fields by the same type of ranked shuffling of distributions. We include the codon content of intergenic DNA sequences and the ranked distribution of sizes of trees in a determined area as examples. We show that the fittings proposed increase their accuracy with the number of distributions that are mixed and ranked.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::464e3c1ce6b146a1926cd2413c1bd822 https://doi.org/10.1007/978-3-642-02469-6_98 Zobrazit plný text záznamu