I may have to just settle with the BIC DV-84s as right now I have no sound in my house

We run a small web radio with Live DJs and it'd be insulting to make them monitor via headphones.
On top of that, it's eerie not having music or shows playing will at home haha.
As far as a sub, which I consider getting a month or so from now, what would you suggest? I was considering the BIC F-12 but a lot of people say it's not "musical," although I don't really understand that as sine waves are all the same right?
I don't really see how subs can sound too differently voiced if they're only outputting one type of waveform, and figure that differences lay mostly in frequency response and at what dB a sub will play certain frequencies.
Anyways, correct me if I'm wrong and steer me in the right direction

I felt like the F-12 was definitely within my budget range and I'd like a great 12" sub for about that price.