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

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  • Jennings, Heather D
  • Ivanov, Plamen Ch
  • M. Martins, Allan de
  • da Silva, P.C
  • Viswanathan, G.M

Abstract

An important problem in physics concerns the analysis of audio time series generated by transduced acoustic phenomena. Here, we develop a new method to quantify the scaling properties of the local variance of nonstationary time series. We 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.

Suggested Citation

  • Jennings, Heather D & Ivanov, Plamen Ch & M. Martins, Allan de & da Silva, P.C & Viswanathan, G.M, 2004. "Variance fluctuations in nonstationary time series: a comparative study of music genres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 585-594.
    • Handle: RePEc:eee:phsmap:v:336:y:2004:i:3:p:585-594
    DOI: 10.1016/j.physa.2003.12.049
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    Cited by:

    1. de Moura, Elineudo Pinho & de Abreu Melo Junior, Francisco Erivan & Rocha Damasceno, Filipe Francisco & Campos Figueiredo, Luis Câmara & de Andrade, Carla Freitas & de Almeida, Maurício Soares & Alexa, 2016. "Classification of imbalance levels in a scaled wind turbine through detrended fluctuation analysis of vibration signals," Renewable Energy, Elsevier, vol. 96(PA), pages 993-1002.
    2. Sanyal, Shankha & Banerjee, Archi & Patranabis, Anirban & Banerjee, Kaushik & Sengupta, Ranjan & Ghosh, Dipak, 2016. "A study on Improvisation in a Musical performance using Multifractal Detrended Cross Correlation Analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 67-83.
    3. Roy, Souparno & Roy, Chandrima & Nag, Sayan & Banerjee, Archi & Sengupta, Ranjan & Ghosh, Dipak, 2020. "Chaos based non-linear cognitive study of different stimulus in the cross-modal perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    4. Grigolini, Paolo & Aquino, Gerardo & Bologna, Mauro & Luković, Mirko & West, Bruce J., 2009. "A theory of 1/f noise in human cognition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4192-4204.
    5. Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos & Rodriguez, Eduardo & Dagdug, Leonardo, 2008. "1/f-Noise structures in Pollocks's drip paintings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 281-295.

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