The results of research that are given in this article open up the opportunity to search for analytical solutions for a wide range of problems of qualitative nature, which is shown on the example of conjugation of color and sound.
          It becomes fundamentally possible to determine precise numerical values of borders of conjugation of qualitatively different types of radiation within the limits of the entire scale of electromagnetic waves. A similar conclusion is also correct for the scale of acoustic vibrations.
          Theoretical calculations of the boundaries of color intervals within the visible optical range of the spectrum of electromagnetic waves are conducted in this work on the base of experimental data on determination of the dependence of human visual receptors' sensitivity on the light wavelengths. Similar calculations are conducted for the acoustic vibrations of the musical range.
          The conducted analysis of the sound range of acoustic vibrations suggests that there are no fundamental limitations on creation a harmonic sound scale with the necessary level of temperament.
    It is discovered that the visible spectrum of sunlight objectively consists not out of seven, but out of nine colors regardless of the subjective color image arising from the human perception.
          The implementation of the analytical approach to the study of these natural phenomena became possible because of further development of the numerical method of qualitative analysis. It led to the elimination of conditional boundaries between the main colors of the visible range of the spectrum and between the notes of the harmonic scale of the decatta.
          The solution of this problem on the base of the theory of quantity-to-quality transitions made scientifically grounded conjugation of color and sound possible, which creates a fundamental opportunity for the development of the general theory of synesthesia.
          Occurrence of the universal property of symmetry in our world is theoretically explained in detail.
          It is determined that the action of any property of any "whole" is always limited by its boundaries and cannot propagate beyond them, and it is exactly this circumstance that makes each "whole" special, unique and distinguishable from other "wholes" that have their own properties.
          In this work a numerical method of qualitative analysis is presented, which could be used to calculate the boundaries of a "whole" of an arbitrary level of organization of matter.

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