You know that saying 'ask a stupid question, get a stupid answer?'
give an alchemist a weird puzzle, get a weird machine

arm one being a hexarm saves like 2 cycles per period, attempt to squeeze more use of it were unsuccesful. cycles * arms is actually fascinating. my first solution had 5 arms, but wasn't faster by enough of a margin to improve on this solution. i suspect that there is a layout with 3-4 arms that is faster by enough to justify the extra arms, but i'm not sure

if you're reading this, i failed to find it. if you're not, then i can stop writing