the full song time info is:
(5) 5+7 5+7 5+7 5+7 5+5+7 5+5+5+7+7 5+5+7+7 5+5+5+5+7+7 5+5+5+5+5+7 5+7+7 5+5+7 5+5+7 5+7 5+7 5+7 5+7 1
I improvised this structure (I had planned out only the first four clusters) in the distorted guitar heard on the left, then went back and wrote out the list above, then used that to cut-and-paste drums and then add the other parts, reading the time signature chart as I went, since for a sketch i don't have time to learn stuff like this. (I had to edit the bass and the right distorted guitar since I couldn't get through it perfectly in one take. The lead screws up here and there; the clicky guitar on the left screws up but it's hard to tell. Actually I couldn't get the clicky guitar to do either of the patterns I wanted consistently, so there's a much deeper screwup than just missing the chord changes, but who would know?)
Edit: Note that from a formal standpoint I would notate this strictly as varying intermixtures of 5/8 and 7/8 time signatures; the longer structures aren't formally time signatures at all. But because of the very strict structure going on, it feels like something closer to time signatures than to hypermeasures.