Scaling Type:
Hyperbolic scaling for proc chance (capped at 60%)
Linear scaling for damage multiplier
Detailed Explanation
Slutty Cannon has a chance to spawn missiles when you HIT an enemy - the official description says "upon killing an enemy", but this is not correct. The description also states there is a 20% chance of spawning a missile, but the actual proc chance uses hyperbolic scaling, and therefore the real in-game chance with 1 copy is approximately 28.57%, not 20%.
When Slutty Cannon procs, it spawns a rocket from your position (slightly above you). In general, 1 copy of the rocket deals 1.4x the damage whatever the weapon that procced it deals. This works for crit damage. So if flamewalker deals 5 dmg and that procs it, a rocket will deal
Below is a more formal explanation.
The rocket deals damage based on:
- The damage of the hit that triggered it
- Your number of Slutty Cannon copies
Damage formula:
Where
- $ n $ = number of Slutty Cannon copies
- HitDamage = the damage from the attack that triggered it
Proc limitations:
Slutty Cannon can proc up to 4 times per game tick. This means that even if you hit many enemies in a single frame, you'll only spawn a maximum of 4 rockets per tick.
When Slutty Cannon procs, it spawns a rocket from your position (slightly above you). In general, 1 copy of the rocket deals 1.4x the damage whatever the weapon that procced it deals. This works for crit damage. So if flamewalker deals 5 dmg and that procs it, a rocket will deal
$$5 \times 1.4 = 7 \text{ dmg}$$
If it crit and dealt 10 dmg, a rocket will deal 10 * 1.4 => 14 dmg.Below is a more formal explanation.
The rocket deals damage based on:
- The damage of the hit that triggered it
- Your number of Slutty Cannon copies
Damage formula:
$$
\text{RocketDamage}(n) = (1.0 + 0.4n) \times \text{HitDamage}
$$
Where
- $ n $ = number of Slutty Cannon copies
- HitDamage = the damage from the attack that triggered it
Proc limitations:
Slutty Cannon can proc up to 4 times per game tick. This means that even if you hit many enemies in a single frame, you'll only spawn a maximum of 4 rockets per tick.
How it Stacks
Slutty Cannon has two scaling stats:
The proc chance uses hyperbolic scaling with the formula:
Where
- $ n $ = number of Slutty Cannon copies
- The result is capped at 60% maximum
Example table:
Each copy increases the rocket damage multiplier linearly:
Examples:
- 1 copy → 1.4x damage multiplier
- 2 copies → 1.8x damage multiplier
- 3 copies → 2.2x damage multiplier
- 5 copies → 3.0x damage multiplier
- 10 copies → 5.0x damage multiplier
The maximum number of procs per tick (4) does not scale with copies. This limit is always 4, regardless of how many Slutty Cannons you have.
1. Proc Chance (Hyperbolic Scaling)
The proc chance uses hyperbolic scaling with the formula:
$$
\text{ProcChance}(n) = \min\left(\frac{0.2n}{0.2n + 0.5},\ 0.6\right)
$$
Where
- $ n $ = number of Slutty Cannon copies
- The result is capped at 60% maximum
Example table:
Note: The proc chance reaches its maximum cap of 60% at 4 copies. Additional copies beyond 4 do not increase the proc chance further.
2. Damage Multiplier (Linear Scaling)
Each copy increases the rocket damage multiplier linearly:
$$
\text{DamageRatio}(n) = 1.0 + 0.4n
$$
Examples:
- 1 copy → 1.4x damage multiplier
- 2 copies → 1.8x damage multiplier
- 3 copies → 2.2x damage multiplier
- 5 copies → 3.0x damage multiplier
- 10 copies → 5.0x damage multiplier
Max Procs Per Tick
The maximum number of procs per tick (4) does not scale with copies. This limit is always 4, regardless of how many Slutty Cannons you have.