The rethinking of music, or the music system of the nature Part 1

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The topics of the second part: the adaptation of the new system to musical instruments, the Didymos comma, rhythm, the golden ratio and other musical interesting facts

What is the problem with today's music, or what even music is and its essence at all? Music is nothing more than a set of different pitches (frequencies) played based on some rhythm, the essence of which is to sound harmonious, and at the same time, character intervals should be heard. The problem with today's music is equal temperament or balanced tuning (12√2), in which the octave is divided into 12 equal semitones. This has two big flaws, on one hand, all tones are completely characterless, and on the other hand, only perfect unisones, perfect octaves, and their multiples could sound perfectly. A perfect octave is twice or half of a given musical sound frequency, and a perfect unison denotes the same note, the pitch is 0, so in practice it does not count as an interval, so in today's widespread equalized system, only perfect octaves and their multiples could sound as perfect intervals, the other intervals irrational ratio (cannot be expressed as a fraction), therefore they are not in harmony with the nature of music. This is also a problem because disharmonious sounds and interferences are created in this way, which affect the living world not only on a spiritual level, but also on a physical level. These unpleasant differences are clearly audible on precisely tuned instruments. I never like to outline a problem without giving a solution, therefore I would like to mainly discuss this as the following.

If we imagine music in pictures, then the current octave-based equalized system is like a grayscale noisy picture. It contains a total of one semitone, not 12, since the notes do not have a different character, i.e. a different frequency ratio compared to the other notes. The number of different notes is not determined by how many parts a given interval is divided into, but by how the notes relate to each other. Equal temperament can be built up with rational pitches, but in these systems only a tiny fraction of the pitches can be perfect.