Actually, the HD 5870 is ~ 30% slower than the GTX 480 on average at 1920 x 1200 / 4xAA. Meanwhile, the HD 6870 is usually ~15-20% slower (average again) than the HD 5870.
The needed 40-50% improvement over the HD 6870 to hit GTX 480 territory is a huge jump no matter which way you look at it.





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