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Updated: June 27, 2025
Not only do different samples of the same type of food differ wildly in protein content, amino acid ratios and mineral content, their vitamin and vitamin-like substances also vary according to soil fertility and the variety grown. These days, food crop varieties are bred for yield and other commercial considerations, such as shipability, storage life, and ease of processing.
Substance, in a state of vibration, in other words conditioned by number, ceaselessly undergoes the myriad transmutations which produce phenomenal life. Elements separate and combine chemically according to numerical ratios: "Moon, plant, gas, crystal, are concrete geometry and number."
As for the explanation of consonance, we know that consonant tones have identical partial tones and are caused by vibration rates that stand to one another in simple ratios. Thus in a clang composed of a tone and its fifth, the first partial of the fifth is the second partial of the prime, and the vibration ratios are as two to three.
There would be anthropoligists to note and measure variations in angles and curves, ratios and quotients of the external conformation of the body. Internists would record the history and status of the organs and viscera. There would be librarians to collect, abstract and collate the vast, accumulating literature.
We also know that he discovered the sphericity of the earth, and the numerical ratios of the intervals between the concordant notes of the octave. It is obvious that he was a scientific genius of the first order, and it is also clear that his methods included those of observation and experiment.
The arcade above the roses in the façade of the cathedral of Tours shows seven principal units across the front of the nave, and four in each of the towers. A distinguishing characteristic of the series of ratios which represent the consonant intervals within the compass of an octave is that it advances by the addition of 1 to both terms: 1:2, 2:3, 3:4, 4:5, and 5:6.
At first, wandering herds of beef-cattle, with now and then a riding cowboy turning in his saddle to wonder at her; then a gate to be opened as she stooped forward from her own saddle, and wide fields where the grass stood tall and untrodden and blooded Jersey cows looked up in mild interest; yonder a small pasture in which were five Guernseys, kept in religious seclusion, under ideal conditions, to further certain investigations into the ratios of five different kinds of fodder to the amount of butter-fat produced; across a green meadow a pure-blooded Jersey bull, whose mellow bellowings drew Judith's eyes to the clean line of his perfect back, over which, with pawing hoofs, he was throwing much trampled earth; in a more distant pen, accepting the trumpeted challenge and challenging back, a beautiful specimen of careful breeding in Ayrshire.
Metaphysics aside, the architect ought to hear as much good music as he can, and learn the rudiments of harmony, at least to the extent of knowing the simple numerical ratios which govern the principal consonant intervals within the octave, so that, translating these ratios into intervals of space expressed in terms of length and breadth, height, and width, his work will "aspire to the condition of music."
The single particles of any of the elements are not seen by reason of their smallness; they only become visible when collected. The ratios of their motions, numbers, and other properties, are ordered by the God, who harmonized them as far as necessity permitted.
One sees very well that a new astronomy was predicted in the build of that sky-confronting mind; for harmonic ratios, laws, and rhymes played in his spheral soul, galaxies and gravitations stretched deeper within, and systems climbed their flaming ecliptic. The highest problem of Science is the problem of Method. Hitherto man has worked on Nature only piecemeal.
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