The first 33 (=1!+2!+3!+4!) notes in the Pythagorean scale consist of the fundamental (tonic), ten overtones (integer tone ratios) indicated in the table by coloured cells and 22 inharmonic notes indicated by green-striped and light yellow cells that have fractional tone ratios (we shall call these partials, although, strictly speaking, the term applies to any sine wave component of a complex tone). The first three overtones are in white cells and the next seven overtones are in cells with the seven colours of the solar spectrum. The (1+2+3+4=10)th overtone is 24 (=1×2×3×4). It is the perfect fifth G₅ of the fifth octave. Notice how the integers 1, 2, 3 & 4 symbolized by the fours rows of dots in the Pythagorean tetractys express these numbers.

There are 15 notes up to the third overtone C₃ with tone ratio 4 and 32 notes above the tonic up to G₅, where 32 is the 31st integer after 1. This is how the Godname YAH of Chokmah with number value 15 and the Godname EL of Chesed with number value 31 differentiate the first three overtones from the next seven. The next diagram explains the significance of this.

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