transistors - Need a little help with a Chinese tesla coil

I bought a little tesla coil kit that can play music. I soldered it all up, and a friend of mine distracted me at the last second when I was hooking it up...

I blew the original "BD243" transistor up on accident, at this point, by mixing up positive and negative leads while using a laptop power supply (rated at 19v by 3.8Amps).
I replaced it with a tip31ag transistor. It has 30% less gain, and I assumed that it would just throw slightly weaker sparks; it however barely mak3s a spark more than a few millimeters when fully amplified by my sound equipment.
I am just looking for some advice to amplify it more. The schematic says that the primary is 1 wrap, and the secondary is 350. I would like to make it better. Any help would be great. I can take extra pictures if needed.
I have so many extra components. I can make do; if I have to desolder some old stuff lying around, then so be it. Any help is appreciated.