Tool is the first band to match their time signatures to mathematical sequences which then tie directly into the theme of the song .. Think about that, That's incredible !! And how they do that in their songs is explained in this video --
At around 7 minutes into the video (6:50 and 7:13) it's shown why they did that... And also at around 6:22 when the "swing on the spiral" lyrics come up.. The natural "spiral sequence" of a fibonacci spiral (or circle) shown there at 6:22, matches perfectly with the verses (and the lyrical structure) of the circular fibonacci earlier in the song (when people first thought they messed up the fibonacci sequence, but in reality they changed it into a "fibonacci spiral" to conform to the theme of the song, perfectly)......
The math, time signatures, and arrangements complimenting the theme (and Lyrics) of the song is revealed from the 6:20 mark to about 7:15.. But you have to follow the whole video to see the construction of it and how it develops..
And Tool wasn't done there, if all that wasn't enough, blah, blah, blah blah, blah
Hey, I like Tool a lot too, but shouldn't you be at NAMM or on a Tool board discussing this?