When one piston is at Top Dead Center and the other is 180° opposite at Bottom Dead Center, the pop pop pop pop you hear from a Johnny Popper is NOT left firing POP and right firing POP 180° later, the POP the human ear can recognize is the COMBINATION/ADDITION of BOTH firings (a quick 180° apart) followed by the relatively longer 540° coast cycle before the ear detects another POP. You don't hear POP POP then ---- ---- ---- (540°).
You may be correct on the 180/540°. 3 1/2 was stuck in my head, which probably relates to some other oddball engine I've dealt with in the past 50 years. Now I'm going to check with a couple of old timers who have Johnny Poppers, hopefully they have an engine laying around and apart to see the crankshaft deign.