Self-Similarity of Classical Music Networks

Rolla, Vitor; Riera, Pablo; Souza, Pedro Thiago Valério de; Zubelli, Jorge P.; Velho, Luiz

doi:10.1142/s0218348x21500419

Cited by 2 publications

(3 citation statements)

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“…Scale invariance and fractal properties in musical pieces have been found using other methods as well. In a recent work, Rolla et al (2021) provide an in-depth analysis of fractality of 21 musical pieces from various composers, including Chopin, Haydn, Clementi, Mozart, Schubert, Brahms and Beethoven. Applying a network analysis, the authors emphasize that scale-free properties of music are present in the harmonic domain as much as in Colored recurrence plots of a sample neuronal signal for increasing data sizes (n = 10 2 , 10 3 , 10 4 ).…”

Section: Discussionmentioning

confidence: 99%

“…2 Approaches and tools suitable for the analysis of these rich and nuanced codes have been proposed both on the side of social sciences - by linguistics, which in turn gave birth to structuralism - and mathematics - with the development of fractal formalisms. As early as 1975, Voss and Clarke (1975) proposed fractal characteristics as defining traits in the creation of algorithmic music, and fractal properties have been widely studied both in musical pieces (in particular in the classical genre) and in neuronal signals ( Trulla et al, 2018 ; Rolla et al, 2021 ).…”

Section: Introductionmentioning

confidence: 99%

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From signals to music: a bottom-up approach to the structure of neuronal activity

Noel,

Mugno,

Andres

2023

Front. Syst. Neurosci.

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IntroductionThe search for the “neural code” has been a fundamental quest in neuroscience, concerned with the way neurons and neuronal systems process and transmit information. However, the term “code” has been mostly used as a metaphor, seldom acknowledging the formal definitions introduced by information theory, and the contributions of linguistics and semiotics not at all. The heuristic potential of the latter was suggested by structuralism, which turned the methods and findings of linguistics to other fields of knowledge. For the study of complex communication systems, such as human language and music, the necessity of an approach that considers multilayered, nested, structured organization of symbols becomes evident. We work under the hypothesis that the neural code might be as complex as these human-made codes. To test this, we propose a bottom-up approach, constructing a symbolic logic in order to translate neuronal signals into music scores.MethodsWe recorded single cells’ activity from the rat’s globus pallidus pars interna under conditions of full alertness, blindfoldedness and environmental silence. We analyzed the signals with statistical, spectral, and complex methods, including Fast Fourier Transform, Hurst exponent and recurrence plot analysis.ResultsThe results indicated complex behavior and recurrence graphs consistent with fractality, and a Hurst exponent >0.5, evidencing temporal persistence. On the whole, these features point toward a complex behavior of the time series analyzed, also present in classical music, which upholds the hypothesis of structural similarities between music and neuronal activity. Furthermore, through our experiment we performed a comparison between music and raw neuronal activity. Our results point to the same conclusion, showing the structures of music and neuronal activity to be homologous. The scores were not only spontaneously tonal, but they exhibited structure and features normally present in human-made musical creations.DiscussionThe hypothesis of a structural homology between the neural code and the code of music holds, suggesting that some of the insights introduced by linguistic and semiotic theory might be a useful methodological resource to go beyond the limits set by metaphoric notions of “code.”

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

From signals to music: a bottom-up approach to the structure of neuronal activity

Noel,

Mugno,

Andres

2023

Front. Syst. Neurosci.

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“…In this work scores of classical musical pieces were transformed into networks whose nodes are musical events. In several of the musical pieces, the networks presented properties of self-similarity or fractal structure [19].…”

Section: Argentina and Chilementioning

confidence: 99%

Music and Mathematics in Latin America: Major Developments in the Last 25 Years

Pareyon¹,

Almada²,

Mathias³

et al. 2022

MusMat

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This text is an overview for Latin America across the field of music and musicology intersecting mathematics, including the advances from perspectives of experimentation, creation, analysis and pedagogy throughout interdisciplinary developments, particularly in the field of computational science and philosophy of science. Our main goal is to spread worldwide the richness and variety of research on music and mathematics in Latin America as well as stimulate further investigation in this fascinating intersection.

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Self-Similarity of Classical Music Networks

Cited by 2 publications

References 31 publications

From signals to music: a bottom-up approach to the structure of neuronal activity

From signals to music: a bottom-up approach to the structure of neuronal activity

Music and Mathematics in Latin America: Major Developments in the Last 25 Years

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