Sympathetic Vibratory Physics | arithmetic (original) (raw)

Arithmetic or arithmetics (from the Greek word = number) is the oldest and most elementary branch of , used by almost everyone, for tasks ranging from simple day-to-day counting to advanced and business calculations. It involves the study of , especially as the result of combining numbers. In common usage, it refers to the simpler properties when using the traditional operations of , , and division with smaller values of numbers. (Wikipedia)

Carl Friederich Gauss
" does arithmetic." [Carl Friederich Gauss]

Ramsay
The relations which music has to , the sphere of centers; to geometry, the sphere of measures; and to arithmetic, the sphere of numbers, show how deeply seated music is in the nature of things, and how independent it is of the will or choice of the . His may take any form his inspiration may suggest; they are subject to him; but as to the nature of music and its laws, he must keep himself subject and obedient to them. is of the ; but the is of the nature of things. [Scientific Basis and Build of Music, page 92]

The of the equinoctial points is a well-known fact. It will be seen how apparent this is in the developments of . From the moment that trinities depart from , the balance is unequal, and the repeated endeavours after closer cause a perpetual restlessness. May not this want of be the life or motive power of the entire , with its continuous struggle after , even to oneness? "Closer and closer is the soul of perfect harmony." In tracing harmonies of tones and colours, the double tones of keyed instruments will be seen to correspond with the intermediate tints and shades of colours. The twelve notes, scales, and chords in the and , the meetings by fifths, &c., all agree so exactly in their mode of development, that if a piece of music is written correctly in colours with the intermediate tints and shades, the experienced musician can, as a rule, detect errors more quickly and surely with the than the , and the correct , even of a non-musical person, may detect technical errors. Although the arithmetical relation has been most useful in gaining the laws, it is not here entered upon; but numbers equally meet all the intricacies both of tones and colours. The bass notes have been omitted, in order to simplify the scheme. [Harmonies of Tones and Colours, The Arabian System of Music, page 21]

R. A. Schwaller de Lubicz
" belongs to geometry and harmony, measurement to the object and to arithmetic; and one necessitates the other. is the comparison of sizes; harmony is the relationship to measures; geometry is the of numbers." [R. A. Schwaller de Lubicz, The Temple in Man, page 61]

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