On the Correlation of the Spectrum of Musical Works of Famous Composers with Low-Frequency Fluctuations of the Solar Microwave Radiation

Stanislav Darovskikh, Head of Department of  Infocommunication Technologies South Ural State University, Chelyabinsk, Russia, darovskih_s@mail.ru

Parviz ShonazarovDepartment of Infocommunication Technologies South Ural State University, Chelyabinsk, Russia, shonazarov1991@gmail.com

Zoya KolosovaDepartment of Infocommunication Technologies South Ural State University, Chelyabinsk, Russia, kolossova_1997@mail.ru

Abstract  Nature-like technologies for the prevention and treatment of a wide range of human diseases determine promising directions for the development of the global healthcare system. The complexity of their implementation is due to the unsolved problem of understanding the mechanism of natural regulation, which provides homeostasis body, determining its main sources during the evolution of living nature, as well as the reasons for its weakening in modern conditions. An important factor in influencing the homeostatic functions body is the acoustic background of natural origin. At the same time, numerous studies have established that under the influence of these musical works of famous composers, first of all, V. A. Mozart, the problem of prevention and treatment of a wide range of psychosomatic diseases that develop in the body as a reaction to stress is solved. A number of researchers attribute the positive effect of listening to music with its consistency with part high-frequency biorhythms of the human body. Based on the correlation processing spectra musical works by famous composers, a high level of their connection with low-frequency fluctuations of the microwave radiation of the Sun reaching the Earth’s surface is proved. The revealed regularity can be interpreted so that the works of famous composers are nothing more than a reflection in the author’s processing of real natural processes, which include the fluctuations microwave radiation of the Sun. The result can be used as the basis for substantiating the necessary procedure for determining certain musical works for their use for medicinal purposes.

Keywords: musical works, fluctuations, microwave radiation, correlation, electromagnetic radiation, natural origin

© The Authors, published by CULTURAL-EDUCATIONAL CENTER, LLC, 2020

This work is licensed under Attribution-NonCommercial 4.0 International

I. Introduction

The development of nature-­friendly technologies for the prevention and treatment of a wide range of human diseases is one of the promising directions for the development of the global healthcare system. The complexity of the implementation of this direction is due to the unsolved problem of understanding the mechanism of natural regulation, which provides homeostasis of the body, determining its main sources during the evolution of living nature, as well as the reasons for its weakening in modern conditions. An important factor in influencing the homeostatic functions of the body is the acoustic background of natural origin. It is a collection of weak mechanical disturbances of various physical nature propagating in an elastic medium. Audible sounds are an important source of information for wildlife, affecting their regulatory functions. This pattern is reflected in the use of musical works by famous composers, primarily V. A. Mozart, for the prevention and treatment of a wide range of psychosomatic diseases that develop in the body as a reaction to stress. Gregorian chants, as well as the works of I.-S., are recognized as close in therapeutic effect. Bach, A. Vivaldi, G. Handel, P. I. Tchaikovsky, F. Chopin, F. Schubert, R. Schumann and others [1–3].

Numerous studies have established [2–5] that under the influence of these musical works, the immune system is stimulated, partially due to the necessary synthesis of dopamine for the correction of many mental processes. Getting pleasure from listening to music is also associated with the production of oxytocin by the brain, which acts as a soft drug. A number of researchers attribute the positive effect of listening to music with its consistency with part of the high-frequency biorhythms of the human body. Despite the large amount of information about the therapeutic effect of the above music in the treatment of psychosomatic diseases of a person, there is no complete understanding that certain musical works have the necessary effect on the body. Also, the evolutionary mechanism of the high governing role for the organisms of these musical works is not clear. To solve these problems, it is necessary to conduct a comparative spectral analysis of musical works with real processes of natural origin, which are associated with the evolution of organisms and humans, in particular.

The purpose of this article is to evaluate the correlation between the spectra of famous musical works and low-frequency fluctuations of the microwave radiation of the Sun reaching the Earth’s surface, the main source of the formation and evolution of regulatory systems of organisms.

II. Evaluation of the Correlation Coefficient of the Spectrum of Music Works of Known Composers with Low-Frequency Fluctuations of the Sun Microwave

to assess the correlation of musical works with low-frequency fluctuations of the microwave radiation of the Sun, we use the following musical compositions:

• V. A. Mozart — Symphony No. 40;

• I. S. Bach — Toccata and Fugue in D minor;

• V. May — Toccata and Fugue in D minor (in modern processing);

• The Beatles — Yesterday;

• Adyghe lullaby;

• Gregorian choral “Diesirae”.

To obtain the spectrum of musical works, we will use the discrete Fourier transform [6–9]


An analysis of the spectra of the indicated works (Fig. 1–6) indicates the presence of general laws and small amplitude differences in their frequency distribution.

To assess the controlling role of the above musical works for therapeutic purposes, it is necessary to conduct a comparative assessment with signals that possessed an unconditional controlling role for organisms at all stages of their evolution.

Among the variety of external factors that formed its homeostasis during the evolution of an organism, the Sun plays a priority role [9–12]. The informational nature of the processes of an explosive nature occurring on the Sun, with the help of various types of its radiation reaching the Earth’s surface (electromagnetic) or near-­Earth space (corpuscular), with a high degree of probability was the basis for the formation of neural and humoral regulation mechanisms in organisms. These mechanisms are designed to provide the body with a controlled rhythm of processes at various levels of its organization. They are the most important stabilizing and regulating factor in its internal environment.

Figure 1. The spectrum of the work of V. A. Mozart — “Symphony No. 40”.

Figure 2. The spectrum of the work of I. S. Bach — “Toccata and Fugue in D Minor”.

Figure 3. The spectrum of the work “The Beatles — Yesterday”.

Figure 4. The spectrum of the “Adyghe lullaby”.

Figure 5. Spectrum of the Gregorian Choir “Diesirae”.

Of the above emissions, the priority control role belongs to microwave radiation, which reaches the Earth’s surface 8 minutes after the start of radiation. The information component of this radiation is associated with its low-frequency fluctuations. A hypothesis is known [5] that it is these fluctuations that underlie the formation of its neural regulation mechanism in the process of evolution of an organism. The complexity of the instrumental measurement of real fluctuations in the microwave radiation of the Sun reaching the Earth’s surface was determined by studies to substantiate their model.

The result of such studies was the justification of the structure of low-frequency fluctuations, which is a continuous random sequence of discrete ΔTi with a duration of ΔTi = (0.01 … 10) s, within which the oscillation frequency varies at different speeds linearly in the range of sound frequencies (the rate of change of frequency in For each sample, dF / dt and the initial frequency F0 lie in the range of dF / dt = ± (5 … 200) · 103 Hz / s and F= (20 … 20,000) Hz, respectively) (Fig. 6) [12–16].

Figure 6. Frequency-time structure of the model of low-frequency fluctuations of the solar microwave radiation.

The spectrum of such a signal, calculated by the formula (1), (Fig. 7) reflects the distribution of its amplitudes over the range of sound frequencies.

Figure 7. The spectrum of the model of low-frequency fluctuations of the microwave radiation of the Sun.

To determine the “similarity” of the above spectra of musical compositions y (f) with the spectrum of the model of low-frequency fluctuations of the microwave radiation of the Sun x (f), we use the procedure for calculating their linear correlation coefficient [17–20].


An analysis of the results of calculating the linear correlation coefficients (Table 1) indicates a high degree of connection between the model of natural fluctuations of the microwave radiation of the Sun and well-known musical works.

III. Conclusion

The results of calculating the correlation coefficient (x (f), y (f)) presented in Table 1 should be recognized as unexpected, once they reflect a previously unknown high degree of correlation. Based on the revealed regularity, it follows that the works of famous composers can be considered as a reflection in the author’s processing of real natural processes, which include the fluctuations of the solar microwave radiation. The result can be used as the basis for substantiating the necessary procedure for determining certain musical works for their use for medicinal purposes. For a comparative assessment, Table 1 shows the results of calculating the correlation of fluctuations of the microwave radiation of the Sun with the singing of widely known birds, as well as with the low-frequency analogue of “white” and “pink” noises. They reflect a low correlation with natural low-frequency fluctuations of electromagnetic radiation of natural origin.

Table 1. Linear Correlation Coefficients

Title of a musical workCorrelation coefficient
V. A. Mozart “Symphony No. 4”0,76
JS Bach “Toccata and Fugue in D Minor”0,68
Vanessa May “Toccata and Fugue in D minor in a modern twist”0,74
The Beatles “Yesterday”0,75
Adyghe lullaby0,79
Gregorian singing “Dies Irae”0,80
White noise0,41
Pink noise0,42


 [1]   Fedotchev, A. I. and Radchenko, G. S. Music therapy and “brain music”: state of the problem and research prospects, in Advances in physiological sciences, 2013, vol. 44, no. 4, pp. 35–50

 [2]   Gubina, S. T. Prevention and correction of mental burnout using musical psychological means of influence, in Bulletin of integrative psychology, Yaroslavl, Moscow, 2009, issue 7, pp. 76–77

 [3]   Gomez, E.Klapuri, A.and Meudic, B. Melody description and extraction in the context of music content processing, in Journal of New Music Research, 2003, vol. 32(1), pp. 23–40

 [4]   Glagolova, A. V. and Prokhorova, E. N. The influence of music on human health, in Young scientist, 2016, no. 6, pp. 94–95

 [5]   Bakshi, L. S. The nature of sound-­visual images. Music and theater in the twenty-­first century, in Academy of Music, 2011, no. 1, pp. 48–55

 [6]   Darovsky, S. N.Shishkova, Yu. S., Popechitelev, E. P.and Widow, N. V. Microwave Heliobiology. Chelyabinsk: Publishing House. Center of SUSU, 2016, p. 99

 [7]   Darovskih, S.Popechitelev, E.Vdovina, N., and Novikov, I. Modern aspects of construction of information microwave therapy devices, Natural Science, 2013, no. 5, pp. 1230–1237

 [8]   Sergienko, A. B. Digital signal processing, 2nd, St. Petersburg: Peter, 2006, p. 751

 [9]   Saidov, B. B., Tambovtsev, V. I.and Prokopov, I. I. Spectrum Transformation of an Amplitude-­Modulated Signal on an Ohmic Nonlinear Element, in Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2020, vol. 20, no. 1, pp. 71–78

[10]   Martin, R. Noise power spectral density estimation based on optimal smoothing and minimum statistics, in IEEE Transactions on Speech and Audio Processing, July 2001, vol. 9, no. 5, pp. 504–512

[11]   Portnoff, M. R. Time-frequency representation of digital signals and systems based on short-time Fourier analysis, in IEEE Trans. Acoust. Speech, Signal Processing, vol. ASSP-28, 2008, pp. 55–69

[12]   Portnoff, M. R. Short-time Fourier analysis of sampled speech, in IEEE Trans Acoust, Speech and Signal Processing, 2009, vol. ASSP-29, pp. 364–373

[13]   Lim, J. S. Signal estimation from modified short-time Fourier transforms, IEEE Trans. Acoust, Speech and Signal Processing, 2004, vol. ASSP-32, pp. 236–243

[14]   Turovsky, Y. A.Kurgalin, S. D.and Semenov, A. G. Simulation of analysis analysis of chains of local maximums of wavelet spectra using signals with known properties as an example, in Management systems and information technology, 2013, vol. 52, no. 2, pp. 24–29

[15]   Kronland-­Martinet, R., Morlet, J., and Grossman, A. Analysis of sound patterns through wavelet transformation, in International Journal of Pattern Recognition and Artificial Intelligence, 2012, vol. 47, pp. 257–260

[16]   Jang, D.Jin, M. and Yoo, C. Music genre classification using novel features and a weighted voting method, in Proceeding of IEEE International Conference on Multimedia and Expo, april 2008, pp. 1377–1380

[17]   Darovskikh, S. N.Vdovina, N. V.and Piskorskiy, D. S. A solution to a problem of simulating solar microwave radiation to restore human homeostasis, in International Conference “Quality Management, Transport and Information Security, Information Technologies” (IT&QM&IS), 2017, pp. 370–373

[18]   Karydis, I.Nanopoulos, A.Papadopoulos, A.and Manolopoulos, Y. Audio Indexing for Efficient Music Information Retrieval, in Prociding of the 11th International Multimedia Modeling Conference, January 12–14, 2005, p. 22–29

[19]   Vadutov, O. S. The mathematical foundations of signal processing, Tomsk: Tomsk Polytechnic University, 2011, pp. 221

[20]   Kalyakin, I. V. Selects a sampling rate for more accurate local signal detection, in Proceedings of the 18th International Conference on Soft Computing and Measurement (SCM’2015), St. Petersburg: Publishing House SPbGETU “LETI”, 2015, pp. 205–208