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Oscillator Trouble/Math ?

I have a "step-up" transformer from a DVD player that I really want to experiment with, but I know I need some form of alternating current to use it. I just finished taking a 3-week summer camp at which I learned about electronics, and there I encountered the 555 circuit. It's simple to build; I can just connect all the pieces on a small breadboard, considering I have several 555 chips. But what makes me a little miffed is that anything over 6V could burn out the chip's components. So I gave up on the 555 oscillator, and turned to the simple(-er) LC circuit. I want to have around 60 Hz to simulate the mains frequency, but I have no idea what capacitance or inductance I should use. Furthermore, I don't quite understand how to achieve a specific inductance based on coil turns, coil diameter, coil length, etc. If anybody could clear me up on these concepts, I'd greatly appreciate it.