Hello, fellow peoples. I am a lover of math, and I decided to take upon myself to discover what the optimum crit percentage would be to maximize the benefit from the capstone feat from the Archery tree for the Hunter Ranger. This feat states that a critical hit will guarantee that the next hit is a critical hit. The way this works (as far as I know) is that critting will grant you a buff icon that is consumed on your next attack. This buff is the autocrit, so the feat does not stack on itself, as that would be ridiculously overpowered.
So, what percentage of crit would gain the most benefit from this feat? Having too little crit will not proc the feat enough, and too much crit will be redundant and render the feat less effective. So, after much mathematical fun with my brother, a formula was derived to solve this conundrum.
This.
It is beautiful. Solving for p gives us the percentage:
41%.
With the feat, your effective crit chance becomes 58.2%. So, if you really, truly want to maximize the capstone feat of the Archery tree, try to aim for a crit chance around 41%. Of course, this is not going to be too easy to do, so it's not like it's a must have to make the feat viable.
Any thoughts?
P.S. I am not taking requests to do these kinds of equations
. They take a lot of time and effort, and I cannot do it without my brother, who is often busy with more important things.
Comments
Just so you know the capstone works by adding a large % to your crit chance as a buff (I want to say 100% but cannot remember the exact values I witnessed). So if you crit with your last attack in an encounter your first attack in the next encounter will crit. So you need to keep an eye out for the notification of the buff.
Thanks for crunching it!
Obsidian Oath - Warlock
A whole lot of other Obsidian toons as well.
That's what I suspected. From the one picture I saw, it was an additional 100%, but that could be inaccurate. Regardless, the next attack is going to crit with that much of an additional percentage to crit. Rangers are going to have to be very aware already; this buff from the feat only adds to their worries. But it's worth the focus if utilized correctly.
Sure thing! I can't wait to make my hypertank, melee-only (well, not only, but focused) ranger!
Math with letters? SORCERY! BURN THE WITCH!
but good job, that stuff makes my head hurt just looking at it.