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# multiplication

Multiplication is the mathematical operation of scaling one number by another. It is one of the four basic operations in elementary arithmetic (the others being addition, subtraction and division).

Because the result of scaling by whole numbers can be thought of as consisting of some number of copies of the original, whole-number products greater than 1 can be computed by repeated addition; for example, 3 multiplied by 4 (often said as "3 times 4") can be calculated by adding 4 copies of 3 together. (Wikipedia)

Keely
"The human ear cannot detect the triple chord of any vibration, or sounding note but every sound that is induced of any range, high or low, is governed by the same laws, as regards triple action of such that govern every sympathetic flow in Nature. Were it not for these triple vibratory conditions, change of polarity could never be effected, and consequently there could be no rotation. Thus the compounding of the triple triple, to produce the effect would give a vibration in multiplication reaching the ninth, in order to induce subservience, the enumeration which it would be folly to undertake, as the result would be a string of figures a mile in length to denote it. [Snell Manuscript - The Book, DISTURBANCE OF MAGNETIC NEEDLE, page 8]

Russell
"To more fully comprehend this omnipresent radar universe of reflecting light mirrors and lenses, take one of the eight reflectors out of a cube, or make one composed of three mirrors placed the way they are shown in the corner of Fig. 62. If you analyze this shape you will see that it is half a cube cut through its diagonals. If you now slowly insert an object on the end of a long needle, toward the apex of that pyramid you will see it reflected three times, and those reflections will grow ever closer as your object nears that apex. That illustrates the multiplication, or compressive power of Nature. It also symbolizes centripetal force and higher potential. It also represents three of the octave elements on the red or blue side of the whole octave, of which the three mates are in the reverse corner reflector." [Atomic Suicide, page 258]

The entire mechanical principal of Nature, by means of which its light illusions of motion are produced, is the consequent effect of such radial extensions. Because of it, the seeming multiplication and division of the universal equilibrium into the opposed electrical pressures of gravitation and radiation, which form the foundation of this universe of change, are made possible. (Fig. 3)
God's imaginings extend from rest to rest in His three-dimensional radial universe of length, breadth and thickness - to become the stage of space for His imagined radial universe of matter, time, change and motion. (Fig. 4)
Points of rest, further extended to other points of rest, form three reflecting planes of still magnetic Light which are at right angles to each other. (Fig. 4) From the center of these three mirror planes of zero curvature, God's givings are radially projected to six opposed mirror planes for reprojection as regivings, to unfold

page 220

and refold the forms of God's imaginings in the curved electric universe of His desiring. (Fig. 5)" [The Secret of Light, PART III: Omnipresence The Universe of Being Postulates and Diagrams, page 219-220]

Ramsay
Now we come to a remarkable arrangement of Nature. The minor does not grow in the same way out of this third chord's top. Two features come before us: first the minor chord grows out of the major, but it is taken not from the top but from the middle, from a rib out of his side. B, the middle of the major dominant chord; B, the last-born of the major genesis; B is the point of departure in the outgrowth of the minor mode. The feminine is a lateral growth from the masculine. Another feature: it grows downward, like a drooping ash or willow. Its first generated chord is its dominant, and its last is its subdominant. Its middle chord, like the middle one of the major, is its tonic. Still further, it is generated by division, not multiplication; B45 is divided by 3 and by 5 for the root and middle of this highest chord, E and G. E15 is divided by 3 and 5 for the root and middle of the tonic chord, A and C. A5 is divided by 3 and 5 for the root and middle of the lowest chord, D and F. Thus we have the whole generation of the elements of music, six generations of harmony, like the six days of creation. Up to this point the whole process and aspect is inverse; growing from a middle; growing downward; growing by division;- while the major is growing from the top; growing upward; growing by multiplication. But here the inverse aspect ends. The generating primes of the major are 3 and 5; 3 and 5 are also the generating primes of the minor. In this essential phase of their creation their comparison is direct, not inverse. [Scientific Basis and Build of Music, page 67]

At the extremes of these two operations we find D the top of the major dominant, and D the root of the minor subdominant; and while all the other notes, whether produced by multiplication of the major roots or division of the minor tops, are the same in their ratio-numbers, the two D's, by no speciality of production, are nevertheless specifically diverse by one comma in their vibration-number, and make a corresponding diversity in the intervals of the two modes. These, the Ray and Rah of the Sol Fa expression, originate a very interesting and somewhat mysterious feature in this great twofold genetic scale. [Scientific Basis and Build of Music, page 67]

3 - In the third sphere, vibrating things, molecules, atoms, etc. gaseous, liquid, or solid have tensions and forces far beyond the requirements of music, and far above the audible region where musical sounds have been located by the Great Numberer. The multiplication of forces there, and their augmentation derived from sympathy, of which sympathy we have faint illustrations in the region of [Scientific Basis and Build of Music, page 86]

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Created by Dale Pond. Last Modification: Monday January 18, 2021 04:33:30 MST by Dale Pond.