I. "The fundamental conception of the Universe is force manifesting itself in rhythmical relations. [continues to II.] [see Rhythmic Balanced Interchange]

II. "This definition is exhaustive, including both (quiescent/creative) thought and (active/resultant) extension, mind and matter. The law for the one is the law for the other. The distinction between them is simply relative, i.e., quantitative, not qualitative.

III. "The rhythmic relations in which force acts are everywhere, under all conditions, and at all times, the same. They are found experimentally to be universally expressible by the mathematical relations of thirds.

Threefold Relations
IV. "These threefold relations may be expressed with regard to their results as,

• I. Assimilative
• II. Individualizing
• III. Dominant or Resultant

Three Laws of Being
V. "From these three actions are derived the three fundamental LAWS OF BEING:

• I. Law of Assimilation: every individualized object assimilates itself to all other objects. [see 14.32 - Law of Assimilation, Sympathy]
• II. Law of Individualization: every such object tends to assimilate all other objects to itself. [see Law of Individualization, Sympathy]
• III. Law of the Dominant: every such object is such by virtue of the higher or dominant force which controls these two tendencies. [see Law of the Dominant, Fulcrum]

VI. "Applying these fundamental Laws to an explanation of the universe, as it is brought to human cognition, all manifestations of force may be treated as modes of vibrations.

Three Modes of Vibration
VII. "The essential differences give rise to three Modes of Vibration:

• I. The Radiating: called also the "Dispersing", the "Propulsive", the "Positive", and the "Enharmonic". [see Entropic. Russell calls this 'Mother' or 'Magnetic'.]
• II. The Focalizing: called also the "Negative", the "Negative Attractive", the "Polarizing", and the Harmonic. [see Syntropic or Negentropic. Russell calls this 'Father' or 'Electric'.]
• III. The Dominant: called also the Etheric, or the Celestial. [see Mind, Scalar, Spirit, Fulcrum]

VIII. "These, it will be noted, correspond to the three Laws of Being. [continue to IX.]

IX. "It is not to be understood that any one of these three Modes of Vibration can exist independently. Each by itself is called a 'current', and all three must be present in every 'stream' or 'flow' of force. The relations of the currents in every flow are expressible in thirds, and it is experimentally demonstrable that the relation of the three are in the order named: as 33 ¹/₃ : 66 ²/₃ : 100.

X. "The evolution of what is called matter from the different Modes of Vibration is through the action of the second law, that of focalization, or negative attraction, or 'negative affinity'. [see Syntropy, Negentropy, Harmonic concentration or aggregation) via Sympathetic Affinity, Sympathetic Association, gravity assimilation and GRAVITAL SYMPATHY BETWEEN GASES]

XI. "Where the vibrations under this Mode meet, and are maintained in a state of mutual affinity or equilibrium, there is established what is called a neutral center, or, as otherwise expressed, 'a center of Sympathetic Coincidence'. [see Neutral Center, Sympathetic Coincidence, 10.07 - Centers of Mutual Attraction]

XII. "The terms 'neutral attraction', 'neutral affinity', 'negative attraction', or 'polar negative attraction', are employed to express the property of a Mode of vibration to direct its components towards such center. [see Syntropy, centralization, Father Forces, 3.21 - Successive Centralizations]

Individualized Being
XIII. "As no current or flow of force can be composed of one Mode of vibration only, but must always be composed of three modes uniting in varying thirds, we have 1 x 2 x 3 = 6 as the total possible forms of Sympathetic Coincidence, or, to speak in ordinary terms, there can be six; and six only, possible forms of individualized being. These are what Keely calls the six orders of atomic (quantum) subdivision, or orders bands, ranges or gamuts of vibratory motion, and he names them as follows:

• I. Molecular
• II. Intermolecular
• III. atomic
• IV. Interatomic
• V. Etheric
• VI. Interetheric
• VII. Compound Interetheric [(added by editor); see Subdivision, Etheric Elements, Magnetic Still Light]

[NOTE: add simplified table of subdivision here]

Frequencies of Orders
XIV. "In this list forms of matter are arranged in the mathematical sequence of the rapidity of the oscillations of their constituent members; the proportion being proved by experiment to be as follows for the molecular orders (ranges): [see Figure 8.14 - Some Basic Waveforms and their constituent Aliquot Parts]

XVI. "This same method of progression is believed to hold in all the orders of vibrations above the molecular, and soon passes into mathematical infinity.

Three Major Orders
XVII. "Actually, however, all matter of which we are capable of cognition through the medium of our senses (i.e, materiality, physicality or Newtonian 3-D) is in one of three forms of aggregation:

• I. Molecular
• II. atomic
• III. Etheric

XVIII. "In each of which the controlling Mode of vibration is respectively:

• I. The Enharmonic (entropy)
• II. The Harmonic (syntropy)
• III. The Dominant

[add source references to the below Table]

Table 2 - Controlling Modes and Proportions

XIX. "But it must be understood that each of these modes is a Positive and real constituent of every atom and molecule.

XX. "It will be seen that as every form of material aggregation is to be considered as a "neutral center of attraction", where the vibratory force of all three orders are held in Sympathetic Coincidence, that is, in balanced activity or harmonized motion, and not by any means cancelled or mutually destroyed, there is no diminution of force, but only temporary suspension of its radiating or propulsive activity or expression. [see Phase Conjugation]

XXI. "This is the foundation of Keely's doctrine of "latent force", and of the indefinite power which can be obtained by breaking up the harmonious balance or equation of forces of every Mode, which exists in every neutral center, that is to say in every mass of matter.

XXII. "Insomuch as every mass of matter consists thus, in fact, of vibrations in harmonic equilibrium, related by simple proportions of thirds, it follows that every mass of every description stands in harmonic relation to every other mass. This is, in part, what is meant by the sympathy of all forms of matter and of motion [i.e., Entanglement, Coupling or Love]; and it is through the study of the methods of increasing or diminishing this sympathy (or coupling) that we reach practical results in this field of research. At present this is best accomplished by resonance; that is, through the harmonic vibrations created by musical instruments [or signal generators], bringing out the acoustic world as the microscope reveals the hidden visual world.

XXIII. "Every visible or tangible mass of matter must be regarded as an aggregation of molecules; the molecules being the true centers of the equated forces of "neutralized attraction". [We now know that attraction is an effect of Syntropy which is an effect of Sympathetic Association or harmonized frequencies. Syntropy unopposed is pure active attraction. Neutralized Attraction then would be Syntropy balanced out with Entropy when the rates of vibration or oscillation are unison or harmonics of unison. See Bjerknes Effect and Voiding]

XXIV. "These molecules have been experimentally proved by Keely to be formed of all three Modes of Vibration; the proof being that they respond to all three modes when subjected to the tests of compound concordant impulses (chords). [see Law of Force, Law of Chemical Affinity]

XXV. "When in that state of neutral aggregation which we know as matter, each molecule is in perpetual oscillation, the range of the oscillation being one-third of the molecule, and its rapidity 20,000 oscillations in a second.

Figure A8.1 - Molecular Range of Oscillatory Motion
(click to enlarge)

Disturbance of Equilibrium
XVI. "It is through the disturbance of this oscillatory equilibrium, by means of resonant impulses, that Keely alters the relations of the vibratory impulses which constitute matter. This he does by striking the same chord in three octaves, representing the third, sixth, and ninth of the scale.

XVII. "Of these, the sixth reduces the range of molecular oscillation, and thus tends to give greater tenuity to the mass. It induces "trajectile velocity" from neutral centers, or "neutral radiation". Experiment shows that molecular dissociation does not take place until the molecule attains an oscillation approaching, if not fully reaching two-thirds of its diameter. This can be effected by means of the action of the enharmonic or "radiating" current applied to the mass, after its molecules have been disturbed by an "introductory impulse"; that is, by the musical note [frequency] above mentioned.

XVIII. "The third represents the dominant, and when brought under control of a harmonic resonant impulse induces a complete rearrangement of the Modes of Vibration and oscillation; in other words, will transform the mass either into its component initial forces, or into some other form of matter. [see Law of Transformation of Forces, Transmutation]

The Dominant
XVIX. "It is the study of the dominant to which Keely has devoted his recent researches. He aims to control the power he evolves by altering the dominant or Etheric Mode of vibration in the triplicate flows of force.

XXX. "As all molecules and masses are mere centers of harmonized vibrations, temporarily held in suspension by simple Laws identical with those of resonance, it follows that these centers can be broken up or divided by certain orders of vibration impinging upon and disturbing them. [see Disturbance of Equilibrium, DISTURBANCE OF EQUILIBRIUM - Snell, 13.12.1 - Disturbance of Equilibrium]

XXXI. "It is a familiar fact that a cord in vibration tends to produce a similar vibration in a cord placed near it. [see Sympathetic Oscillation, Tuning Fork] This property belongs to all vibrations, whether resonant or not, and they exert it in proportion to the order to which they belong. The distance in Space to which this power extends, or can be extended, is what is called "the sympathetic outreach" of the current or flow.

XXXII. "In this manner we have "sympathetic negative attraction", and "sympathetic positive propulsion", with reference to the Outreach of the third or dominant current of the stream, which is allied to the order of Etheric vibrations. [see Sympathetic Transmission]

XXXIII. "Each molecule of a given mass of matter represents the same harmonic chord or note in its oscillatory motion. The chord of the mass is, therefore, the chord of every molecule of mass.

XXXIV. "But as the condition of absolutely stable equilibrium is theoretical only, and does not exist in nature, the chord of the mass is constantly changing. Yet we must learn to control this chord of the mass by resonant induction, if we would gain command of the molecular forces.

XXXV. "Keely believes he has solved this problem, by the invention of a mechanical device which brings the chords of all masses within the conditions of a few simple acoustic tests. [see Keelys Mechanical Inventions and Instruments, MECHANICAL INVENTIONS AND INSTRUMENTS]

XXXVI. "The range of molecular oscillation is affected differently in different substances when submitted to the same vibratory impulse, and these ranges can be measured.

Transmitting Concordant Impulses
XXXVII. "In the three metals, silver, gold, and platina, we obtain the proportions - 3 : 6 : 9 - As this is the primary relation of the Modes of Vibration, a wire[8] made of these three metals is peculiarly adapted to transmit concordant impulses; and nodes made of these substances placed upon a wire, transmitting resonant vibrations, indicate, by the different orders of vibration induced in them, the rate of oscillations of the atomic constituents. [see Trexar, Law of Force, Law of Chemical Affinity]

XXXVIII. "The phenomenon of rotation arises from the harmonic interaction of the dominant and enharmonic elements of the flow; in other words, the first and third, the third and ninth, etc.; those whose vibrations bear the proportions to each other 33 ¹/₃ : 100.

XXXIX. "A practical example of rotation is a wheel in revolution on its axis. This is force in its commercial or economic aspect. To accomplish this result by molecular vibratory action, we must gain control of the negative attractive or enharmonic current of the triple flow, and the problem is then solved up to any limit of power."

Table 1 - Relations of Thirds

See Also

Figure 1 - Center of Sympathetic Coincidence
(click to enlarge)

Footnotes
[1] Also called Circular wave, Curl, Love Wave, Lamb Wave, Surface wave, Etheric. "Power of rotation comes on the positive and power of negation, arising when the receptive flows become independent of the circular chord of resonation (set up mechanically or otherwise) breaks up the rotational power." [ROTATION - Snell]

• Rayleigh Wave
• Vortex

[2] Also called Compression wave. "The vibratory velocity governing the magnetic flow ranges from 300,000 to 780,000 per second and comes under the first interatomic. This is the first order above odor and permeates the molecules of glass in the compass cover as air passes through a sieve. Being governed by the full harmonic chord this flow moves in straight lines free from molecular interference. [MAGNETIC ENGINE - Snell] "when free of this differentiation are in straight lines." [Discordant] Figure 8.3 - Coiled Spring showing Longitudinal Wave

• Longitudinal
• Longitudinal Wave
• Longitudinal Waves in Vacuum

[3] "Discordance in any mass is the result of differentiated groups, induced by antagonistic chords, and the flight or motions of such, when intensified by sound, are very tortuous and zig-zag;" [Discordant]

• Figure 8.4 - Transverse Wave
• transverse
• Transverse Wave

[4] See Wave Field

• 12.05 - Three Main Parts of a Wave
• 12.09 - The MINUS side
• 12.08 - The PLUS side
• Figure 2.12.1 - Polarity or Duality
• Figure 15.03 - Opposing Forces of Gravity and Radiation
• 7B.16 - Polarity, Principle of Polarity

[5] Artwork by JP et al. and this diagram: Triple Modes
[6] The Seven Subdivisions of Matter and Energy, VACUUMS FROM VIBRATORY INDUCTION
[7] Jose Arguelles, Earth Ascending, page 21; 1996 (3rd edition) [See Binary Triplet]
[8] Trexar, Trextrinar, TREXAR - Snell, Trexnonar

See Also

369 - Hollingshead
369 - Tesla
369
Keely WaveFunction
Law of Transformation of Forces
Russell WaveFunction
Table 14.03 - Ranges of Forces Vibration Forms Types and Governing Laws
Trinity