So MIDA is probably the best weapon in Destiny ever (besides year one pre nerf Suros), therefore you can't go wrong with it in pve or pvp.
Jade Rabbit is a hard hitting manly man's weapon. You won't catch as much flack as using MIDA may net you, but something about hitting like a damn freight train feels oh so good. Jade can also hold it's own in pve and pvp.
Which would you choose and why?
[i]~ Nyahh! =^,.,^=[/i]
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I would honestly say mida since flinch was increased on snipers ( the jade did a great job before patch ) and all the other added benefits of mida. But Jade is sexy bro. it's really fun to use but if you're not extremely solid with it then you're better off using mida.