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Updated: May 25, 2025
The equation of animal and vegetable life is too complicated a problem for human intelligence to solve, and we can never know how wide a circle of disturbance we produce in the harmonics of nature when we throw the smallest pebble into the ocean of organic being.
In the book~ Harmonics of Evolution~ we are told that at the very foundation of the manifestation of life lies the principle of polarity, which expresses itself in the duality and unity of positive and negative affinity. The swaying to and fro of the positive and the negative, the desire to balance incomplete polarity, constitutes the very ebb and flow of life. Disease is disturbed polarity.
The number of vibrations of the different rays are not the successive multiples of one and the same number, and it is not a question of a fundamental radiation and its harmonics, while and this is an essential difference the number of vibrations of the radiation tend towards a limit when the period diminishes infinitely instead of constantly increasing, as would be the case with the vibrations of sound.
Then it was that he burst forth in his memorable rhapsody: "What I prophesied twenty-two years ago, as soon as I discovered the five solids among the heavenly orbits, what I firmly believed long before I had seen Ptolemy's harmonics, what I had promised my friends in the title of this book, which I named before I was sure of my discovery, what sixteen years ago I urged as a thing to be sought, that for which I joined Tycho Brahe, for which I settled in Prague, for which I have devoted the best part of my life to astronomical contemplation, at length I have brought to light, and have recognized its truth beyond my most sanguine expectations.
But she would have us away with sentimentalism. Sentimental people, in her phrase, 'fiddle harmonics on the strings of sensualism, to the delight of a world gaping for marvels of musical execution rather than for music. For our world is all but a sensational world at present, in maternal travail of a soberer, a braver, a brighter-eyed. Her reflections are thus to be interpreted, it seems to me.
There is also a "guide to the falls," who wears his title labeled on his hat; otherwise, indeed, one might as soon think of asking for a gentleman usher to point out the moon. Yet why should we wonder at such, either, when we have Commentaries on Shakspeare, and Harmonics of the Gospels? And now you have the little all I have to write. Can it interest you?
But it must have pressed hard the philistines. And this prelude, the twenty-third, is fashioned out of the most volatile stuff. Aerial, imponderable, and like a sun-shot spider web oscillating in the breeze of summer, its hues change at every puff. It is in extended harmonics and must be delivered with spirituality.
No one could have suspected that the shame-faced little man harboured such resources. If he has not always the subtlest perception of the harmonics of flavours, what a mastery he shows of strong effects and striking contrasts, what fecundity of invention, what a play of fancy in decoration, what manual dexterity, what rapidity and certainty in all his operations!
He has a bowl of milk on the stand beside him, and he reads Smith's 'Harmonics' and Ferguson's 'Astronomy. I sit sewing in the next room, and occasionally he will call to me to listen while he reads some passage that most pleases him.
"As to double-stops Edison once said that violin music should be written only in double-stops I practice them playing first the single notes and then the two together, and can recommend this mode of practice from personal experience. Harmonics, where clarity is the most important thing, are mainly a matter of bowing, of a sure attack and sustaining by the bow.
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