Another invention in the same era as Tesla was by Paul Oudin, whose oscillating circuit more closely resembles what we call a Tesla Coil today.
When we compare a 'modern' Tesla coil with coils from Colorado Springs, the similarities and differences start to become evident.
Similarities:
* Both generate high-voltage currents at high frequency.
* Both employ a secondary with a low-impedance path to ground.
* Both employ a dielectric topload.
* Both employ a tuned primary circuit loosely-coupled to a free-oscillating secondary.
Differences:
* Oudin oscillator uses two coils.
*Tesla's used three.
* 'Modern' Tesla Coils have hundreds or thousands of turns of wire, as did Oudin's.
* Tesla's secondary coil @ Colorado Springs had fewer than 3 dozen turns on the secondary, and fewer than 200 turns on the extra (you can see the primary+secondary windings along the perimeter of the room).
* A 'modern' Tesla Coil has a many-turn primary, as did Oudin's.
* Tesla's primary had 1-3 turns.
In-practice, the main difference is that in the Colorado Springs arrangement, the Extra coil was center-stage, with the primary+secondary serving as a loose-coupled step-up transformer.
By having an air-gap between turns of the Extra coil, a certain balance is struck between the dielectric and magnetic fields. Rather than mutual inductance forcing the coil to behave as a single entity, self-inductance takes over turning the coil into a cascade of single-turn resonators. The spacing also allows a much greater area to be consumed by the dielectric field creating field effects that stretch quite some distance into free space.
The result of all this is that the Extra coil (henceforth referred to as the Tesla coil) develops an extremely high magnification factor (Q factor) when wound this way. One coil I wound has a self-resonance around 960kc, and a measured Q factor of about 280 (under 3.5kc bandwidth).
"An overly-skeptical scientist might hastily conclude by scooping and analyzing a thousand buckets of ocean water that the ocean has no fish in it."