This is an old post from 2010, which I've left here in the blog, but updated it a little. I had run across some videos from the Geek Group, and they were hard at work building a sound studio earlier in 2010.
In this video, Chris describes how they affixed drywall to the original cinderblock walls of their space. I don't necessarily agree with some of their processes (didn't they read my multiple blog posts about Green Glue?), but they've been attaching wood strips to the cinderblock with glue, then adding resilient channel strips from Auralex, and then attaching drywall to the strips.
However, he confessed that they're not adding insulation behind the wall because of their budget. But they were going to caulk between the pieces of drywall and add a second layer of gypsum (drywall) on top of the the first wall, placing the second layer in the opposite direction so that the seams don't line up.
To see the older Geek Group videos, check out the National Science Institute channel on YouTube. (NOTE: In 2014, the Geek Group had a fire at their labs.)
* The YouTube video that accompanied this origial 2010 post got moved or no longer exists. The Geek Group renamed themselves as "Chaotic Good." And here is a rebranded video about how they built their studio.