Forgot the Restrictions Passcode. How to reset?

I wanted to set restrictions on my iPod Touch, but discovered that I had set a Restrictions Passcode at some point and have now forgotten it. How do I reset the passcode? I have tried restoring my iPod, but that also restores the settings that included the previous passcode.

Whatever the solution entails, I ultimately would like to restore my apps and music to the iPod. If I need to manually enter the settings again, that's fine. Any ideas how to pull this off? Am I going to have to connect it to another computer that it hasn't synced with and wipe clean? If so, how to I re-sync it to my previous machine and get my apps and songs back on?