Software tools and medical-biological aspects of musical structure pentagrams

А.А. Кобляков; С.В. Петухов; И.В. Степанян

Software tools and medical-biological aspects of musical structure pentagrams

А.А. Кобляков¹, С.В. Петухов², И.В. Степанян³

research article Pages: 45-57

¹ профессор, Московская государственная консерватория им. П.И. Чайковского, декан, композиторский факультет, науч. руководитель научно-творческого Центра междисциплинарных исследований музыкального творчества, член Союза композиторов России, член Союза кинематографистов Правления московского отделения Союза композиторов РФ, Приемной комиссии Союза композиторов РФ, Академии кинематографических искусств
² д.ф.-м.н., к.б.н., академик Национальных и Международных академий, зав. лабораторией биомеханических систем, Институт машиноведения им. А.А. Благонравова РАН; вед. науч. сотрудник, Научно-творческий Центр междисциплинарных исследований музыкального творчества Московской государственной консерватории им. П.И. Чайковского
³ д.б.н., к.т.н., вед. науч. сотрудник, Институт машиноведения им. А.А. Благонравова РАН; вед. науч. сотрудник, Научно-творческий Центр междисциплинарных исследований музыкального творчества Московской государственной консерватории им. П.И. Чайковского. О Хан До - к.м.н., председатель холдинга «in2sm.com» (г. Сеул, Республика Корея)

Keywords: music therapy bioinformatics acoustic analyzer

Abstract

The Moscow State Conservatory by P.I. Tchaikovsky has created a special «Center for interdisciplinary research of musical creativity». One of the main tasks of this center is to study genetic musical scales described in article. This study is being conducted now from different viewpoints including new opportunities for composers. The study revealed that the pentagram musical scales possess beautiful and rich harmony for sound perception and they can be used to compose music based on them. The system of the musical pentagram scales has much more possibilities to produce harmonic sounds in comparison with the equal tempered scale, which is widely used now. The authors of the article have created a few musical instruments and special software to produce appropriate musical products, which are used in this study.

Investigations of numeric genetic matrices are an effective scientific instrument to analyze multi-component and multi-parametric ensembles of the molecular-genetic systems. The obtained results give a new vision of connections of genetic systems with well-known mathematical objects and theories from other branches of science and culture. The matrix relation between the golden section φ and significant parameters of genetic codes testifies in a favor of a molecular-genetic clue providing such physiological phenomena. One can hope that the algebra of bi-symmetric genetic matrices, which are connected with the theme of the golden section, will be useful for explanation and the numeric forecast of separate parameters in different physiological subsystems of biological organisms with their cooperative essence and golden section phenomena. Owing to the results of matrix genetics new opportunities arise to demonstrate the close connection between science and culture. One of them is a problem of multi-dimensional spaces including multi-dimensional musical spaces which need appropriate algebraic formalisms for their analysis. According to our assumption, it seems to be essential that these musical systems be connected with the molecular-genetic system because the phenomenon of musical perception is inherited.

How to cite

Кобляков А.А., Петухов С.В., Степанян И.В. Программно-инструментальные и медико-биологические аспекты пентаграмных музыкальных строев // Биомедицинская радиоэлектроника. 2016. № 1. С. 45–57.

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[3] Vinogradov G., Krasovskaja E. Zanimatelnaja teorija muzyki. M. 1991. 192 s.

[4] Voloshinov A.V. Matematika i iskusstvo. M. 2000. 400 s.

[5] Vorobjov N.N. CHisla Fibonachchi. M.: Nauka. 1978. 144 s.

[6] Gika M. EHstetika proporcijj v prirode i iskusstve. M.: Vsesojuznaja akademija arkhitektury. 1936. 320 s.

[7] Dzhan R. Fillotaksis: sistemnoe issledovanie morfogeneza rastenijj / pod red. S.V. Petukhova. M.: Reguljarnaja i khaoticheskaja dinamika. 2006. 460 s.

[8] Eremeev V.E. Simvoly i chisla «Knigi peremen». M. 2005. 600 s.

[9] Zaripov R.KH. Kibernetika i muzyka. M.: Nauka. 1971. 235 s.

[10] Kobljakov A.A. Ot dizjunkcii k konjunkcii (kontury obshhejj teorii tvorchestva) / V sb. «JAzyki nauki - jazyki iskusstva». M.: Izd-vo «Institut kompjuternykh issledovanijj». 2000. S. 75-86.

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[12] Le Korbjuze SH.-EH. Modulor. M.: Strojjizdat. 1976. 237 s.

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[14] Petukhov S.V. Matrichnaja genetika, algebry geneticheskogo koda, pomekhoustojjchivost. M.: RKHD. 2008. 316 s.

[15] Ponnamperuma S. Proiskhozhdenie zhizni. M.: Mir. 1977.

[16] Rashevskijj P.K. Tenzornyjj analiz i rimanova geometrija. M.: Nauka. 1964. 664 c.

[17] Sabaneev L. EHtjudy SHopena v osveshhenii zakona zolotogo sechenija // Iskusstvo. 1925. № 2. S. 20-30; 1927. № 2/3. S. 15-25.

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[19] Uehjjnberger N. Muzyka i mozg // V mire nauki. 2005. № 2. S. 72-77.

[20] Fejjnman R., Lejjton R., Sehnds M. Fejjnmanovskie lekcii po fizike. M.: Mir. 1965. T.4.

[21] KHolopov JU.N. Garmonija. Teoreticheskijj kurs. SPb.: Lan. 2003. 544 s.

[22] Cygankov V.D., Stepanjan I.V., Igin G.A. Nejjronnyjj sintez zvukovykh sekvencijj // Nejjrokompjutery: razrabotka, primenenie. 2009. № 7. S. 79-84.

[23] SHevelev I.SH., Marutaev M.A., SHmelev I.P. Zolotoe sechenie. Tri vzgljada na prirodu garmonii. M.: Strojjizdat. 1990. 310 c.

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[25] SHubnikov A.V., Kopcik V.A. Simmetrija v nauke i iskusstve. Izd-e 3-e. M.: RKHD. 2004. 550 s.

[26] SHHuckijj JU.K. Kitajjskaja klassicheskaja «Kniga peremen». M.: Vostochnaja literatura. 1997. 583 s.

[27] EHjjzenshtejjn S.M. O stroenii veshhejj // Iskusstvo kino. 1939. № 6. S. 7-20.

[28] Coldea R. Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry // Science. 2010. Jan. 8. V. 327. № 5962. R. 177-180.

[29] Darvas G. Symmetry. Basel: Birkhäuser book. 2007. 508 p.

[30] Guhrauer G.E. Leibniz. Breslau. 1846. V. 1. Appendix. 70 p.

[31] Kappraff J. The arithmetic of Nichomachus of Gerasa and its applications to systems of proportions // Nexus Network Journal, 2000. № 2(4). http://www.nexusjournal.com/Kappraff.html.

[32] Kappraff J. Beyond measure: essays in nature, myth, and number. Singapore: World Scientific. 2002. 600 p.

[33] Koblyakov A.A. Semantic aspects of self-similarity in music // Symmetry: Culture and Science. 1995. V. 6. № 2. P. 63-74.

[34] Lendvai E. Symmetries of music, an introduction to semantics of music // Kecskemét: Kodály Institute. 1993. 155 p.

[35] Needham J. Science and civilization in China. Cambridge, Cambridge University Press. 1962. V. 4.

[36] Petoukhov S.V., He M. Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications. Hershey,.USA: IGI Global. 2010. 271 p.

[37] Stewart I. Life\'s other secret: The new mathematics of the living world. New-York. Penguin. 1999. 285 p.

[38] Tusa E. Lambdoma ? «I Ging» - Genetic code // Symmetry: Culture and Science. 1994. № 5(3). P. 305-310.

[39] Zenkin K. The perceptual spaces in music and the role of reflection symmetry in their structuring // Symmetry: Culture and Science. 2014. V. 25. № 3. P. 157-176.

[40] Petoukhov S.V.The system-resonance approach in modeling genetic structures // Biosystems. January 2016. V. 139. R. 1-11. http://petoukhov.com/PETO.

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