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## Blue Beetle Crit Rate Explained (Calculations & Notes)

*By ComplexNeko.*

Arcane Wave is Blue Beetle’s ultimate ability. While this ability usually has a skill cost, you can reduce that cost to 0% when the weapon is fully enhanced.

### Arcane Wave’s Abilities

Arcane Wave comes with two distinct abilities that offer powerful advantages:

**Arcane Energy**

**Trigger Condition**: Whenever you use a fusion skill, you have a chance to activate Arcane Energy.**Full Enhancement**: At full weapon enhancement, this chance becomes 100%.**Effect**: When Arcane Energy is active, it increases your skill’s critical hit rate by +30% for 10 seconds. This bonus is multiplicative.

**Purification**

**Trigger Condition**: Using a singular skill grants you a chance to activate Purification.**Full Enhancement**: At full weapon enhancement, this chance also becomes 100%.**Effect**: When Purification is triggered, it removes all debuffs applied to your character with a 100% success rate.**Duration**: Purification lasts for 1 second but clears all debuffs during that time.- You can reuse singular skills to remove additional debuffs as needed.

### Understanding Additive vs. Multiplicative Bonuses

**Additive**

- If the critical hit rate bonus were additive, it would simply add the 30% to your base critical hit rate. For example, with a base rate of 20%, the new rate would be:
**Base Rate**: 20%**Additive Bonus**: +30%**Final Rate**:**50%**

However, this is not the case for Arcane Energy.

**Multiplicative**

- Arcane Energy applies a multiplicative bonus, which means the 30% boost is based on your current critical hit rate rather than a flat addition. Here’s how it works:

**Example Calculation:**

**Base Critical Hit Rate**: 20% (or 0.20)**Boost**: 30% (or 0.30)

**Step-by-Step Calculation:**

**Calculate the 30% boost**on the base critical hit rate:**Boosted Amount**= 0.30 × 0.20 = 0.06 (6%)

**Add the 6% boost**to the base critical hit rate:**Final Critical Hit Rate**= 20% + 6% = 26%

So, the 30% boost increases your base critical hit rate by 6%, bringing it to 26%.

### Important Note

This 30% boost does not apply the same way for all descendants. Since each descendant has a different base critical hit rate, the final critical hit rate will vary.

### Conclusion

The reason the bonus isn’t simply added on top of your base rate (e.g., 20% to 50%) is that the 30% boost is applied multiplicatively to your base critical hit rate. This is a common mechanic in many games, where percentage boosts scale relative to your current or base values, not as a flat addition.

**Valby Fusion Skills and Critical Hit Rate Calculations**

Valby has two fusion skills: Bubble Bullet and Laundry Bomb. These skills can be used to trigger Arcane Energy, which provides a 30% boost to the skill’s critical hit rate. However, Valby has a base critical hit rate of only 5%, so let’s calculate the actual critical hit rate increase.

The calculation is as follows:

`0.30 × 0.05 = 0.015 or 1.5%`

Now, adding this to the base critical hit rate of valby:

`5% + 1.5% = 6.5%`

Therefore, when using a fusion skill to trigger Arcane Energy (+30% skill critical hit rate), you only gain a 1.5% increase, resulting in a total critical hit rate of 6.5%.

**(Supply Moisture)**

When using the Red Module: Supply Moisture, it states that standing on water grants a +20% skill critical hit rate. This is added to the base critical hit rate before Arcane Energy is applied.

Now, the base critical hit rate becomes:

`5% + 20% = 25%`

With Arcane Energy applied, the calculation becomes:

`0.30 × 0.25 = 0.075 or 7.5%`

Now, adding this to the new base critical hit rate:

`25% + 7.5% = 32.5%`

Therefore, when using a fusion skill to trigger Arcane Energy (+30% skill critical hit rate), and with the Supply Moisture Red Module activated, you now gain a 7.5% increase, resulting in a total critical hit rate of 32.5%.**Bunny Fusion Skills and Critical Hit Rate Calculations**

Bunny has two fusion skills: Thrill Bomb and Maximum Power. These skills can be used to trigger Arcane Energy, which provides a 30% boost to the skill’s critical hit rate. Bunny starts with a base critical hit rate of 10%, so let’s calculate the actual critical hit rate increase for Bunny.

The calculation is as follows:

`0.30 × 0.10 = 0.03 or 3%`

Now, adding this to Bunny’s base critical hit rate:

`10% + 3% = 13%`

Therefore, when using a fusion skill to trigger Arcane Energy (+30% skill critical hit rate), Bunny gains a 3% increase, resulting in a total critical hit rate of 13%.

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