Set this clock to beat twice as fast again, and having listened a moment so as to get the sense of the new note, stop it. Set a second clock to beat _five_ for the first one's four. Listen so as to get the sense of it and then stop that clock also. Set a third to beat _six_ for the first one's four and do the same. Now start them all at once. You cannot by counting ascertain that whilst one beats six the other two are respectively beating five and four. But your appreciation of the fact takes the form of _hearing the musical chord do, mi, sol_, C, E, G, the common chord in its first position. Is not the perception of that chord, the acceptation of that state of feeling, really a recognition of the ratio, a highly transcendental counting? In the feeling you have the _meaning_ of the numbers and of the ratios between them. It is those numbers themselves viewed from a high standpoint. The same might be said of every other chord. Listening to music is perceiving ratios of vibratory speed between the successive notes and chords, transcendental counting. The feelings aroused are what those ratios _mean_. The meaning, the feeling, of the composer gets out into expression through those numbers and ratios. Number in the ordinary one-plus-one sense is the body of music; number in the transcendental sense is its soul. We cannot in the ordinary sense count ether-touches on the optic nerve. But when they reach a certain number of trillions per second we suddenly perceive the _meaning_ of that number--which we call the color red or the sensation of redness. When the rapidity is seven-fourths as many we get the sensation violet. But there is more than a sensation; the colors have an _aesthetic_ and emotional value. And when colors, that is rates, are juxtaposited in certain ways we get _art_ and the value may become _spiritual_. But no two people are affected in exactly the same way by the same piece of music or of art work, though the souls of both may be touched. Since, as we have seen, the highest aspect of number and ratio is _spiritual meaning_, we can already see something in the Pythagorean saying that the soul is a number and a ratio or harmony. In its self-consciousness it has a spiritual meaning for itself; it means something to itself; it understands itself. And so each soul, each with its own special nature or meaning, reacts a little differently to the spiritual meaning of numbers and ratios coming to it from without.