It is typically recommended to use a big neon-sign transformer (NST) for a physically big spark gap tesla coil.
Assuming the primary and secondary of a small tesla coil are tuned to have resonance on the same frequency, are there any problems associated with feeding a physically small tesla coil with a big NST (like 15kV 60mA)?
Example:
The original secondary has a diameter of 10 cm and a height of 50 cm (1:5 size ratio). The alternative secondary for the smaller tesla coil has a diameter of 5 cm and a height of only 25 cm. The wire diameter is also put to half the size so the same number of turns can be used for the same height. This should give roughly half the inductance of the first coil (10 mH vs 20 mH). Since the resonance frequency will be higher, this must of course be compensated for on the primary side. Let us say this is compensated for in the primary coil only and the capacitor bank remains the same.
Will this blow up? Will the streamer arcs be shorter, the same, or longer than with the bigger coil? (assuming things are optimally tuned).