So we have 4 primary types, 3 specials and 2 heavies. In each the higher ranks have bigger numbers, detailed blurbs and a modifier. Judging from the vendor stock of legendaries, rare and known exotics.
While I'm aware we don't know everything. I'd like actual variety, like maybe rockets having different kinds like bomblets and a mortar variant. Stuff like that, playing differently.
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Considering this was only a Beta, I'll have to wait till the full game before I know about weapon variety. The Beta only gave us a taste. There may be more weepons than we know what to do with.