So there's this girl who sings at a teen band I went to check out the other day. My friend plays at the band and introduced us and I really liked her, but didn't try to sarge her or anything (this happened about 2-3 weeks ago). Now I wanna meet her up again and I only have her number through the friend. I want to strongly display the fact that I'm interested in her, while making her (obviously) interested in me.

Help?

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"I have no particular talent. I am merely inquisitive."

Albert Einstein

I want to strongly display the fact that I'm interested in her

Bad move, you don't want to 'strongly' do anything of the sort.
If she sings in a teen band, she probably has 50 (at least) other guys 'strongly' showing their interest.
What you want to do is separate yourself from the 'heard', in other words, don't be like these other guys.
You need to be confident, indifferent, mysterious, challenging and a little CF (Cocky & Funny goes a LONG way).
Show a hint of interest, then back off. Let her see you flirting and having a good time with other girls. If she flirts back, do more of the same....show interest, then pull away...go back to flirting with someone else. And don't forget to escalate at the appropriate time.

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Keep people off-balance and in the dark by never revealing the purpose behind your actions. - Robert Greene