# 3.0 Critical Hit Chance & Damage Formulae

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

## 10 thoughts on “3.0 Critical Hit Chance & Damage Formulae”

1. Viridiana says:

I’m still annoyed that I wasn’t able to hit 758 and had to leave that gap there. >_>

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1. Hahaha, that OCD!

You might get a pm on reddit shortly by the original owner of that Crit Sheet, about an /r/FFXIVTC collaboration, btw mate.

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1. Viridiana says:

Well, nothing yet from them. You didn’t, like, tell them my reddit name was Viridiana or something, did you? :p

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2. In previous post, you said real game constants are probably whole numbers. Did you find accuracy results only using whole numbers for critical hit formula ?

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1. Yes! All formulae in this game use whole numbers and on the 1st I’m going to go in depth about some very special information.

Unfortunately I’m on holiday, so I weren’t able to do any blog updates.

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3. Anonymous says:

there seems to be additional 1% crit given at 781

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4. Naja says:

Apparently there is a jump in crit% at 781, a free additional crit% increase

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1. Is there a Source for this?

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1. Viridiana says:

Just filled in more points on the ole Crit Sheet. No jumps at all up to 840.

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