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Would that 2% DA, or 3% Crit Rate provide a better benefit in a short fight vs a straight increase to both WS and Melee DOT damage.
If all you did in the game, ever, was fight one EP mob... then Uther's would way more than likely win. However, that's not the case. I don't get how you can be so tunnel visioned in this. You do fight more than 1 mob, you do multiple long fights and short fights. When you add the damage results from each one and average it out, it will be in favor of other grips like Claymore or Pole.
Let's make it a little easier since you apparently can't grasp it. We say that when we flip a coin, there's a 50/50 chance that it will land on either side. If I flip a coin 10 times and I get 3 heads and 7 tails. What you're trying to say is something similar to saying that I have a 70% chance of getting tails. It's not expected that I get 5 heads 5 tails. In fact, there are 1024 different outcomes I could get from just flipping a coin 10 times. Even If I flipped 10 coins 50 times and never got a 5:5 ratio of heads to tails, it wouldn't change the fact that it's a 50/50 chance of either side.
Hi, this is a Bell Curve. What we're saying is that, while your actual results may be on either extreme of this graph, the perceived or expected results will most likely land in the darkest part. Or: Despite Uther's Grip winning sometimes, Pole Grip will win most of the time (even including your "conditions" and "scenarios").
Excuse some exaggerations in this next part:
Now, let's say you fight 500 100hp mobs with each grip.
1.) Each swing does 49 damage and Uther's Grip brings that to 50 damage. In the first 500 mobs with Pole Grip, Double Attack doesn't proc once making it so you had to swing a total of 1500 times to kill all 500 mobs. In the second set with Uther's, you kill all 500 mobs in 1000 swings.
In this extreme, Uther's Grip far exceeded Pole Grip in your actual results.
2.) Each swing does 50 damage and Uther's Grip brings that up to 51 damage. In the first 500 mobs with Pole Grip, Double Attack doesn't proc once making it so you had to swing a total of 1000 times to kill all 500 mobs. In the second set with Uther's, you kill all 500 mobs in 1000 swings.
In this extreme, even though Pole Grip didn't proc once, both grips yielded the same result.
3.) Each swing does 49 damage and Uther's Grip brings that up to 50 damage. In the first 500 mobs with Pole Grip, double attack happens to proc on every swing making it so you had to swing 1000 times. In the second set with Uther's, you kill all 500 mobs in 1000 swings.
In this extreme, even though Pole Grip procced every time, both grips yielded the same result.
4. Each swing does 50 damage, and Uther's Grip brings that up to 51 damage. In the first 500 mobs with Pole Grip, double attack happens to proc on every swing making it so you had to swing 500 times. In the second set with Uther's, you kill all 500 mobs in 1000 swings.
In this extreme, Uther's added nearly no additional advantages to swinging with no grip at all while Pole provided a huge increase.
These results can apply to a single mob or whatever you define a "short fight" as. What I'm trying to show is that all of this is possible. What if in whatever short fight you're talking about, Pole Grip's actual results gives you a 10% Double Attack within that fight? What if in whatever short fight you're talking about, Uther's Grip doesn't even let you swing 1x less to kill a monster?
Using this superficial "in short fights" scenario is a ridiculous way to rate the over-all performance of any piece of equipment. If you wanna take your Gungnir and go parse Rabbits in West Sarutaburata to prove that Uther's Grip is better than Pole Grip, be my guest.
I'll go as far as saying you ARE right. Uther's Grip can situationally be mathematically better than Pole Grip, all factors included. However, you are not taking into account correct factors or providing accurate/thought out situations.
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In short fights you do not provide 1,000 hit samples, and or 1,000 ws samples.
In short fights at best you hit anywhere from 40-60 times as a DD and WS 5-9 times.
In 15 minutes, if you were going to fulfill this scenario, probability provides that a LARGE number of possibilities may occur. (As I said earlier, just flipping a coin 10 times provided 1024 possibilities assuming it never ends up landing on it's edge with no side being "up") Out of all those probabilities of what might happen in 15 minutes, some will have Uther's Grip to be the better grip, some will have Pole. Heck, some might even have Sword win because you were hit a certain number of times allowing you to 6-hit despite lack of STP. Neither of these possibilities, by itself, proves that one grip is better than all the others. If all of these results are taken as a whole, you'll find that the probability of Pole Grip coming out ahead of Uther's Grip is greater given normal situations.
Now... I'm not saying that I'm a genius or that all of this is 100% correct, but if you still don't get it after me trying to explain this to you, you're pretty much a lost hope and others should stop trying to argue this fact with you.
tl;dr Pole Grip is better than Uther's and Amador is a very confused person