Entropy, energy, and instability in music

Date

2023-01-01

Author

Gündüz, Güngör

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

173
views

0
downloads

The structures of eight BEATLES songs were characterized by using the fundamental concepts of statistical physics, thermodynamics, and viscoelastic theory. The Shannon entropy, negentropy, order, topological entropy, fractal dimension, network properties, and conservative and dissipative energies were found for all songs. The sequential entropy change and the persistence of entropy were also discussed. The lengths of notes have an important influence on the psychological perception of the human brain, and it was found that the lengths of notes produce very highly ordered forms of sequential entropy difference. For further characterization, the scattering diagrams of songs were plotted, and the fractal dimensions, network densities, cohesions, and characteristic path lengths of songs were calculated and compared. The instability issues were elucidated based on the alignment of the vectors on the scattering diagram and the angles of these vectors. It was found out that some angles which could be expressed in terms of golden ratio came out to be in high percentages. They are associated with relatively more unstable states. The corresponding notes are the elements of high instability.

Subject Keywords

Directed graph, Fractal dimension, Golden ratio, Instability, Shannon entropy, Topological entropy

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85144026391&origin=inward
https://hdl.handle.net/11511/101498

Journal

Physica A: Statistical Mechanics and its Applications

DOI

https://doi.org/10.1016/j.physa.2022.128365

Collections

Department of Chemical Engineering, Article

Suggestions

OpenMETU
Core

Entropy in Born-Infeld gravity Alıcı, Gökçen Deniz; Kürekci, Şahin; Tekin, Bayram (2017-12-28) There is a class of higher derivative gravity theories that are in some sense natural extensions of cosmological Einstein's gravity with a unique maximally symmetric classical vacuum and only a massless spin-2 excitation about the vacuum and no other perturbative modes. These theories are of the Born-Infeld determinant form. We show that the macroscopic dynamical entropy as defined by Wald for bifurcate Killing horizons in these theories are equivalent to the geometric Bekenstein-Hawking entropy (or more pr...
The mathematical analysis of the structure of some songs Gunduz, G; Gündüz, Ufuk (2005-11-15) 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 was determined for each melody. In (ii), it was shown that the total number of notes used in a song display a spiral, which can be expressed by a mathematical equation. In (iii), the animal diagram was obtained by us...
Energy in Reboucas-Tiomno-Korotkii-Obukhov and Godel-type space-times in Bergmann-Thomson's formulations Aydogdu, O; Salti, M; Korunur, M (2005-12-01) We calculate the total energy (the matter plus fields) of the universe considering Bergmann-Thomson's energy-momentum formulation in both Einstein's theory of general relativity and tele-parallel gravity on two different space-times; namely Reboucas-Tiomno-Korotkii-Obukhov and the Godel-type metrics. We also compute some kinematical quantities for these space-times and find that these space-times have shear-free expansion and non-vanishing four-acceleration and vorticity. Different approximations of the Ber...
Energy associated with the Gibbons-Maeda dilaton spacetime Aydogdu, Oktay; Salti, Mustafa; Korunur, Murat; Acikgoz, Irfan (Springer Science and Business Media LLC, 2006-12-01) In order to obtain energy and momentum (due to matter and fields including gravitation) distributions of the Gibbons-Maeda dilaton spacetime, we use the Moller energy-momentum prescription both in Einstein"s theory of general relativity and teleparallel gravity. We find the same energy distribution for a given metric in both of these different gravitation theories. Under two limits, we also calculate energy associated with two other models such as the Garfinkle-Horowitz-Strominger dilaton spacetime and the ...
Energy and momentum associated with Kasner-type universes Salti, M (2005-01-01) This study is purposed to elaborate the problem of energy and momentum distribution of the viscous Kasner-type universe in general theory of relativity. In this connection, we use the energy-momentum definitions of Einstein, Papapetrou and Landau-Lifshitz and obtained that the energy-momentum distributions (due to matter plus field) of the closed universe which is based on the viscous Kasner-type metric are vanishing everywhere. These results are exactly the same as those obtained by Salti et al. and agree ...

Citation Formats

G. Gündüz, “Entropy, energy, and instability in music,” Physica A: Statistical Mechanics and its Applications, vol. 609, pp. 0–0, 2023, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85144026391&origin=inward.