What the achievement essentially wants from you is to 100% the song during 4 rewinds. What I mean is, if you're playing on Expert, you'll need to score at least 240 notes and never miss anything. Since the achievement doesn't require a difficulty, if you can't get this on your preferred difficulty, just drop down. Beginner only requires 20 notes to get a rewind, so that would make life incredibly easy.
To further clarify, a 720 rewind is when the turntable spins twice around before stopping. You need to make a hard and fast spin to achieve this.