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Complexity–entropy causality plane: A useful approach for distinguishing songs

Ribeiro, Haroldo V.; Zunino, Luciano; Mendes, Renio S.; … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 7, pp. 2421-2428

particularly true when dealing with music databases. In this context, it is essential to have techniques and tools able to …

Persistent link: https://www.econbiz.de/10010590217

Variance fluctuations in nonstationary time series: a comparative study of music genres

Jennings, Heather D; Ivanov, Plamen Ch; M. Martins, Allan de - In: Physica A: Statistical Mechanics and its Applications 336 (2004) 3, pp. 585-594

apply this technique to analyze audio signals obtained from selected genres of music. We find quantitative differences in … the correlation properties of high art music, popular music, and dance music. We discuss the relevance of these objective … findings in relation to the subjective experience of music. …

Persistent link: https://www.econbiz.de/10010590280

Complex network structure of musical compositions: Algorithmic generation of appealing music

Liu, Xiao Fan; Tse, Chi K.; Small, Michael - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 1, pp. 126-132

In this paper we construct networks for music and attempt to compose music artificially. Networks are constructed with … nodes and edges corresponding to musical notes and their co-occurring connections. We analyze classical music from Bach …, Mozart, Chopin, as well as other types of music such as Chinese pop music. We observe remarkably similar properties in all …

Persistent link: https://www.econbiz.de/10010591602

Analysis of temporal fluctuations in Bach’s sinfonias

Telesca, Luciano; Lovallo, Michele - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 11, pp. 3247-3256

The correlation structures in 15 Bach’s sinfonias were analyzed. Each sinfonia is characterized by the superposition of three voices. Each voice is a sequence of pitches. Each voice was transformed in a time series, in which the sampling time was given by the smallest pitch duration in that...

Persistent link: https://www.econbiz.de/10010872167

Universality in the tail of musical note rank distribution

Beltrán del Río, M.; Cocho, G.; Naumis, G.G. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 22, pp. 5552-5560

. Languages as sequences of symbols have been a popular subject for ranking distributions, and for this purpose, music can be … for classical, jazz and rock music, revealing interesting features. Specially, we have obtained a clear trend in the …

Persistent link: https://www.econbiz.de/10011060583

The mathematical analysis of the structure of some songs

Gündüz, Güngör; Gündüz, Ufuk - In: Physica A: Statistical Mechanics and its Applications 357 (2005) 3, pp. 565-592

The mathematical structures of six songs were studied by treating them as complex systems. The studies were based on (i) scattering diagram, (ii) spiral structure, (iii) graph theory and animal diagrams, and (iv) entropy and organization. In (i), the fractal dimension and the radius of gyration...

Persistent link: https://www.econbiz.de/10011060845

Thermodynamics of relation-based systems with applications in econophysics, sociophysics, and music

Gündüz, Güngör - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 20, pp. 4637-4653

A methodology was developed to analyze relation-based systems evolving in time by using the fundamental concepts of thermodynamics. The behavior of such systems can be tracked from the scattering matrix which is actually a network of directed vectors (or pathways) connecting subsequent values,...

Persistent link: https://www.econbiz.de/10011063981