3.0 Critical Hit Chance & Damage Formulae

http://www.bluegartr.com/threads/125988-Critical-Hit-Rate-3.0-Bardshrekt

Critical Hit Chance

I saw this amazing open source google.doc on the blue garter forums which had A LOT of Critical Hit Data, so I gathered up my own Data-Points, then asked Viridiana, who I know has been gathering hundreds of Data Points, to add his to this google.doc… 354-760 Critical Hit Rating almost. Fantastic.

After adding over 400 data-points into my Solver, I created a Chart like this to see the Linear Sloping of CRT…

Giving me a Formulae for my data points CRT*0.0233-3.3009.

Now, I wanted to create a formula which scales CRT from 354, rather than 0, like what my slope is currently doing, so using my Excel Solver (which I used to calculate the Damage Model), I got a formula of:

((CRT-354)*0.0232558)+4.9511233

Meaning, we have a base Crit Chance of 4.95% at 354 CRT.

You could also convert this into a whole number value, by changing a few numbers in the Formula to:

((CRT-354)*0.000232558)+0.49511233, giving you 0.0495.

Critical Hit Damage

Afterwards, I combined both Viridianas and a few other Data Points of Critical Hit Damage scaling.

Not as many data points, but it’s still enough for me to gauge a rough estimate of min/max values with and without crits.

The formulae I ended up with:

((CRT-354)*0.0002335)+1.4482348

I noticed something here, that both Critical Hit Chance and Critical Hit Damage use the same 0.00023X value and so, there’s a huge possibility that the scaler for both Critical Chance and Critical Damage are exactly the same.

If this is the case, as I have more data points for Critical Hit Rating, this scaler would theoretically be more accurate than if I were solving straight for Critical Damage. If I then used my Critical Hit Rating Coefficient of 0.000232558 to solve Critical Damage:

((CRT-354)*0.000232558)+1.4484746

Final Formulae

Critical Hit Chance:

((CRT-354)*0.0232558)+4.9511233

Critical Hit Damage:

((CRT-354)*0.000232558)+1.4484746