The First Descendant – Blue Beetle: Critical Hit Rate Explained

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:

1. Calculate the 30% boost on the base critical hit rate:
   • Boosted Amount = 0.30 × 0.20 = 0.06 (6%)
2. 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%.