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Did this test get performed with a full 5 ranks in Improved Aspect of the Hawk?
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Yeah, test was with all 5 ranks of IAotH. It doesn't really make sense to me to get less than 5/5 if you are going to get it, since each point builds on the last. Although I can see why you would want to model that for completeness sake.
Using the same methods, for 4/5 IAotH I get: y = 0.7721x^-0.7275
So there is a change, albeit a minor one. If I have time later I might run it across all ranks.
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So if I were to model this, would I want to just reduce the cooldown of autoshot, and the casting time of Steady by the uptime*bonus? I think that would be the best way to "average" out the effects, which is what I'd be looking for in a spreadsheet.
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That is correct.