I have been reading about how to get tons of ap from fighting don tonberry, but i have a question about the equipment.

The guides showing how to do this says i should have a weapon with overdrive > ap (and probably triple ap). But i wonder, if i have overdrive > ap as well as triple overdrive, will it help on getting more ap from the overdrive > ap ability? I Can't seem to find a good answer for this, hopefully I will here.