Sympathetic Vibratory Physics -It's a Musical Universe!
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Topic: Dale Pond Collected Articles
Section: Triple Modes of Vibration
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My short answer is none of the parameters you request are recognized, settled or even determined. We simply do not yet know the "facts" surrounding these three modes of rhythmic motion. We do think we know some things however:

I've been told by an 'expert' in NDE/NDT engineering the Transverse is considered slightly less frequency than the Longitudinal. Of course, what they in NDE/NDT recognize as wave configuration is different than what SVP accepts (so far). The engineer has refused to respond to my inquiries concerning this difference in frequency and I've not yet seen any collaborating evidence elsewhere.

It is my belief Keely's Dominant is NOT Longitudinal as generally understood Longitudinal to be. It could very well be Longitudinal in action but certainly not within the usually considered realms of acoustic vibrations. A review of Keely's writings concerning the Dominant pretty well settle the issue of it being THOUGHT or Mind vibrations/oscillations (etheric and interetheric) - at least in his contexts and writings.

To wrap one's mind around the idea the Dominant is a substantially higher frequency range yet dominates and controls much lower frequencies is a bender. Apparently there are harmonic linkages (sympathetic associations) yet to be deciphered and explored.

There are wave constructions and dynamics not yet fully explored as above referenced. There are a number of curiosities found in mental experiments of these motions and relations between domains. For instance an oscillation on one domain is a compound vibration on or within a higher domain.

Another part of this question can be 'seen' (imagined) when a molecule of air in free space is impacted by acoustic forces. It's resultant motions encompass but are not limited to the three modes you mention. The particle will change spin and change oscillation amplitude and direction on several modes. Inherent in these changes of motion are also changes in relative density, frequency, power/energy, angle/plane of orbit, etc., etc.

A couple of years ago I began an effort to plot out these motions and relative changes. The development of a matrix (mathematical) was overwhelmed with all the various parameters. My efforts have been shelved for the time being or until I can acquire what I consider a useful program - Mathematica - wherein parameters can be assigned values then manipulated at will and/or according to certain laws, principles, values, etc.
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