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He believed that the soul is incorporeal, and is put into the body subject to numerical and harmonical relation, and thus to divine regulation. Hence the tendency of his speculations was to raise the soul to the contemplation of law and order, of a supreme Intelligence reigning in justice and truth. Justice and truth became thus paramount virtues, to be practised and sought as the end of life.
Uniting with the ever-flowing current, they shake the courses of the soul, stopping the revolution of the same and twisting in all sorts of ways the nature of the other, and the harmonical ratios of twos and threes and the mean terms which connect them, until the circles are bent and disordered and their motion becomes irregular.
And being composed of the same, the other, and the essence, these three, and also divided and bound in harmonical proportion, and revolving within herself the soul when touching anything which has essence, whether divided or undivided, is stirred to utter the sameness or diversity of that and some other thing, and to tell how and when and where individuals are affected or related, whether in the world of change or of essence.
As in the ancient philosophical doctrine, so in modern science, the number is invariably connected with the name of a thing, of whatever description the thing may be. The grand standard of harmonical relation among the Pythagoreans was the musical octave. Physical qualities, such as colour and tone, were supposed to appertain to the surface of bodies.
Harmonical Progression, Permutations and Combinations, and Elliptic Functions have sufficient mysteries for me! Mrs. Witham kindly undertook to see after his commissions, and he went himself to look for the old woman who had been recommended to him. When he returned to the Judge's House with her, after an interval of a couple of hours, he found Mrs.
The phenomena of medical cupping-glasses and of the swallowing of drink and of the projection of bodies, whether discharged in the air or bowled along the ground, are to be investigated on a similar principle; and swift and slow sounds, which appear to be high and low, and are sometimes discordant on account of their inequality, and then again harmonical on account of the equality of the motion which they excite in us.
"Very good, sir," said Marigold. But he had disturbed the harmonical progression of my reflections. They all went anyhow. When he returned, all I could say was: "It's Miss Betty's wedding to-morrow. I suppose I've got a morning coat and a top hat." "You have a morning coat, sir," said Marigold. "But your last silk hat you gave to Miss Althea, sir, to make a work-bag out of the outside."
I have not with lines named also shades and colors, for this evident reason, that there are no such things as abstract shadows, irrespective of the forms which exhibit them, and distinguished in their own nature from each other; and that the arrangement of shadows, in greater or less quantity, or in certain harmonical successions, is an affair of treatment, not of selection.
His main principle was that number is the essence of things, probably meaning by number order and harmony and conformity to law. The order of the universe, he taught, is only a harmonical development of the first principle of all things to virtue and wisdom. He attached much value to music, as an art which has great influence on the affections; hence his doctrine of the music of the spheres.
His grasp upon this region failed him now. Perhaps there was not the old sympathy with lovely shapes. Perhaps he knew that he had played on every gamut of that lyre. Emerging from the sphere of the sensuous, where ideas take plastic embodiment, he grappled in this final stage of his career with harmonical ratios and direct verbal expression, where ideas are disengaged from figurative form.
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