Powering fluorescent lamps from DC is easy but doing it properly and efficiently isn't, but luckily I've done a lot of research in this area and I will share it with you.
Many fluorescent lamp inverter schematics can be found from Google but most are crap. Firstly they often power the lamp from pulsed DC and secondly they don't preheat the filaments, and only run the tube at half power, all reduce tube life and efficiency.
I haven't built the circuits below (though I have constructed similar designs) but below them are my comments.
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This circuit is quite good, the filaments are preheated and even though it's pulsed DC a DC blocking capacitor is connected in series with the tube so it's powered from true AC. Efficiency isn't as good as can be at a dissapointing 78%.
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Good too, efficiency is much better and it's push pull so the tube is powered from true AC the only thing is it doesn't preheat the filaments which won't matter if it isn't restarted very often.
For more infotmation
this is a good read and if you don't have time to read it all then I strongly recommend that you should read
this section, also
here's some more background information.
I would recommend you build two inverters, one with two low-voltage, low-power (about 2V) secondary coils to power the filaments and another with a high-voltage secondary (80V) to strike the arc. The low-voltage inverter can be run continiously and high-voltage inverter can be pulsed on and off to the beat of the music.
Looks like you've got some reading to do.