Abstract

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Symmetry: Culture and Science
Volume 32, Number 2, pages 249-252 (2021)
https://doi.org/10.26830/symmetry_2021_2_249

SYMMETRIES, THE GENETIC BASIS OF ORGANISMS AND MUSICAL HARMONY

Sergey Petoukhov^1,2,*, Elena Petukhova¹, Vitaly Svirin^1,2, Vladimir Verevkin¹

¹ Laboratory of Biomechanical Systems, Mechanical Engineering Research Institute of Russian Academy of Sciences, Moscow 101990, Russia
E-mail: spetoukhov@gmail.com
Web: http://petoukhov.com
ORCID: 0000-0001-7355-1813

² Centre for Interdisciplinary Research of Musical Creativity of the Moscow Tchaikovsky Conservatory, Moscow 125009, Russia

^* corresponding author

Abstract: This paper is devoted to symmetries between musical harmony ratios and ratios of molecular parameters in genetic molecules DNA and RNA. Using multidimensional hyperbolic numbers is proposed to enrich analytical tools for musicology.

Keywords: symmetry, DNA, hydrogen bonds, quint ratio, Pythagorean scales.

References:
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Petoukhov, S.V. (2021) Modeling inherited physiological structures based on hyperbolic numbers. Biosystems, 199, 104285. https://doi.org/10.1016/j.biosystems.2020.104285

Petoukhov, S.V., He, M. (2010) Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications. Hershey, USA: IGI Global, 271 pp. https://doi.org/10.4018/978-1-60566-124-7

Stewart, I. (1999) Life's Other Secret: The New Mathematics of the Living World. New York: Wiley, 285 pp.