
As we may know, every sound is made up of a number of partial tones, much like each color can be divided into a number of partial colors. These partial tones have a strict mathematical law. Thus, the main or root note is accompanied by the octave, the perfect fifth, the double octave, hereafter the major third, the perfect fifth, the minor seventh, the triple octave and further ever smaller intervals, until they are no longer possible to define in our western tone system. We soon find ourselves in the so-called astral octave. These higher overtones have hardly any significance for physical hearing, because their energetic contribution is very small.
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