The drive pulse parameters will be dependant on the diameter of the endless coil, and the only shape i can think of is a toroidal one.
(oops) I mean tto say that you cannot meet the first two requriements with an endless coil.
Picture this:
A string 4' long hanging vertically.
From the highest point, move 1' down and attach an alligator clip. Do the same at the 2' and 3' locations.
String a bead at the top and let it drop. It is stopped at the 1' clip. Remove the clip. It drops to the 2' clip. Remove the 2' clip and it drops to the 3' clip.
Replace the string with a single, closed loop of wire.
In general, a material cannot polarize instantaneously in response to an applied field.It is also true that in general, a material will not loose polarization in response to the removal of an applied field.
Even Coulomb knew this.
Replace the clips with something to create a localized, timed and controlled decrease in permittivity at the loop quadrants. (think about: Theories of passive electronic time-delay devices)
Replace the bead with an applied potential with length of t. It doesn't matter what t is in relation to the circumference of the loop. In theory, the applied potential could be DC continuous current when everything is timed correctly. (furnace fuel its own fire)
Replace gravity with the precession that will happen with properly timed initial-on, pulse rate-on or cyclic-on and clip removal/application. One loop will only provide one end of the dipole or potential tap for loads.
This is why I say the controls are only controls, not drivers or exciters. Somewhere in this saga's history was mention of the 'stopping' being important.
I don't think a single loop can be of any use except to demonstrate the above idea and show where a loop of very small circumference can be made to have a very high electromagnetic, sonic and vibrational/mechanical Q at the same frequency.
This also makes it possible to meet the first two requirements from Grumpy.
Look at the similarities between the small toroids and the containing TPU. Strip those quadrants of lamp cord outer wrap sections from the same TPU. What is left? A larger version of the small toroid times three, one stacked upon the other.
Those quadrants of lamp cord can't be drive coils, like a motor. I think they are better described as 'control coils' or 'controlled pinch coils' or 'controlled clap coils'
P.S.
The right 'combination of frequencies' that we could never find... What would be more difficult than to understand the needed frequencies were each a single frequency in different mediums and different types of waves