Critical Hit Chance table

The most readable PTH formula I could obtain is

should be equivalent to the official formula below, parsing that with eyes requires galaxy brain though

**PTH= ((((Attacker’s OA / ((Defender’s DA / 3.5) + Attacker’s OA)) * 300) * 0.3) + (((((Attacker’s OA * 3.25) + 10000) – (Defender’s DA * 3.25)) / 100) * 0.7)) – 50**

See it in Wolfram Alpha

Chance to critically hit is as follows (for PTH ≥ 89):

because:

- 1, 2, …, 89 rolls aren’t crits
- 90, 91, …, PTH are crits
- possibible results are 1 - 100 for PTH < 100 and 1 - PTH for PTH ≥ 100
- if PTH ≥ 100 there are no misses; if PTH < 100, then PTH + 1, …, 100 are misses

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DPS multiplier table (doesn’t include Critical Damage stat, see examples)

- T is a PTH Threshold that separates different Tiers of Critical Hits
- 0.1 is a 10% bonus damage we get cumulatively with each Tier

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Example 1

Let’s calculate a real DPS multiplier using these tables.

Suppose OA= 3400, DA=2200, CHD=90%.

From the table we read

- CHC = 27.6%
- DPS multiplier = 1.05

The true DPS multiplier including CHD is

1.05 + 27.6% * 90% =

1.05 + 0.276 * 0.9 =

1.2984 ≈

**1.3**

a.k.a. **30%** more dmg on average in comparison to normal hit

or 1.3 / 0.9 ≈ **44%** more dmg on average than if our OA was the same as enemy’s DA (2200)

btw standard multiplier when OA=DA is 0.9 not 1 because we miss 10% of the time then

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Example 2

How much % relative DPS increase raising OA by 200 is going to give me (see the previous example)?

We calculate DPS multiplier for 3600 OA = 1.06 + 30.5% * 90% = **1.3345**

(using new multiplier and CHC)

Let’s divide new multiplier by old multiplier:

1.3345 / 1.2984 ≈ 1.028

Answer: raising OA by 200 increases our DPS by around **2.8%**

(assuming we have 3400 OA at first and hit 2200 DA enemy)