Gen 7 Catch Rate Calculator
Precision tool for Calculating capture odds in Pokémon Sun, Moon, and Ultra Series.
Using Gen 7 shake check logic.
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0
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Probability Comparison
Visualizing standard catch vs with status and roto enhancements.
| Species Type | Base Rate | Max HP Ultra Ball Chance (1 HP) | Status + Ultra Ball (1 HP) |
|---|---|---|---|
| Legendary (Solgaleo/Lunala) | 45 | ~35.3% | ~88.2% |
| Legendary (Tapus/U-Beasts) | 3 | ~2.4% | ~6.0% |
| Rare Spawns (Drampa/Turtonator) | 45 | ~35.3% | ~88.2% |
| Common (Yungoos/Pikipek) | 255 | 100% | 100% |
What is a Gen 7 Catch Rate Calculator?
A gen 7 catch rate calculator is a specialized tool designed for players of Pokémon Sun, Moon, Ultra Sun, and Ultra Moon. Unlike previous iterations, Gen 7 introduced unique mechanics such as the Roto Catch Rotom Power and adjusted multipliers for various status effects. Understanding the exact probability of capturing a wild Pokémon allows trainers to manage their resources, such as the expensive Ultra Balls or the rare Master Ball, more effectively.
Who should use this? Competitive collectors, shiny hunters, and speedrunners rely on a gen 7 catch rate calculator to determine if they need to inflict a status condition or lower the target’s HP further. A common misconception is that catching a Pokémon is purely random; in reality, it is a complex mathematical formula involving base rates, HP ratios, and specific item multipliers.
Gen 7 Catch Rate Calculator Formula and Mathematical Explanation
The core of the gen 7 catch rate calculator relies on the calculation of the “a” value, which is then used to determine the success of four independent “shakes.”
The Step-by-Step Derivation
1. The “a” Variable: First, we calculate the capture strength factor:
a = floor( floor((3 * HP_max – 2 * HP_curr) * Rate * Ball / (3 * HP_max)) * Status * Roto)
2. The Shake Check: If a is 255 or higher, the Pokémon is caught. Otherwise, we calculate the shake probability b:
b = floor(65535 * (a / 255)^0.25)
3. Final Result: The game generates a random number four times. If all four numbers are less than b, the catch is successful.
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| HP_max | Total Health of the Pokémon | Points | 10 – 400+ |
| HP_curr | Remaining Health | Points | 1 – HP_max |
| Rate | Species Base Catch Rate | Constant | 3 – 255 |
| Ball | Poké Ball Multiplier | Multiplier | 0.1x – 8x |
| Status | Condition Multiplier | Multiplier | 1.0x – 2.5x |
Practical Examples (Real-World Use Cases)
Example 1: Catching Tapu Koko
Suppose you are facing Tapu Koko (Base Rate 3). It has 174 Max HP and you have reduced it to 1 HP using False Swipe. You are using a Dusk Ball in a cave (3x multiplier) and it is paralyzed (1.5x status bonus). By entering these into the gen 7 catch rate calculator, we find:
- Modified Rate (a): ~13
- Shake Probability (b): ~32,000
- Final Chance: ~5.8% per throw.
Example 2: Using Roto Catch on a Beldum
Beldum is notoriously difficult with a catch rate of 3. If you use a Heavy Ball (+20 modifier in some gens, but in Gen 7 it adds/subtracts to base rate) and a Roto Catch (1.5x), the gen 7 catch rate calculator shows that the Roto Catch power significantly shifts the math, potentially doubling your efficiency over a long encounter.
How to Use This Gen 7 Catch Rate Calculator
Follow these steps to get the most out of the gen 7 catch rate calculator:
- Input HP: Enter the Max HP and current HP. Use False Swipe to get it to 1 HP for optimal results.
- Identify Base Rate: Look up the Pokémon’s base catch rate. Most legendaries are 3 or 45.
- Select Your Ball: Choose the Poké Ball you plan to throw. Note that Beast Balls have a massive penalty (0.1x) on non-Ultra Beasts.
- Add Status: Select if the Pokémon is Sleeping, Frozen, Paralyzed, etc.
- Enable Roto Catch: If you are using the Rotom Power, make sure to toggle this on for the 1.5x boost.
- Read the Main Result: The large percentage shows your chance of a successful capture per single throw.
Key Factors That Affect Gen 7 Catch Rate Calculator Results
- Current HP Ratio: The closer to 0% HP, the higher the value of a. False Swipe is the most important tool in any Gen 7 hunter’s kit.
- Status Conditions: Sleep and Freeze offer a 2.5x multiplier, which is significantly better than the 1.5x offered by Paralysis or Poison.
- Pokédex Completion: The number of species you have caught increases the “Critical Catch” multiplier, which can bypass the standard 4-shake check.
- Roto Catch Power: This 1.5x multiplier stacks multiplicatively with balls and status, making it the most powerful capture aid in Gen 7.
- Ball Specialization: Using a Net Ball on a Water-type (3.5x) is more effective than an Ultra Ball (2x). Always match the ball to the target.
- Level Difference: Unlike Gen 8, Gen 7 does not have a strict level-cap lock, but being a higher level than the wild Pokémon is generally required to even initiate the battle effectively.
Frequently Asked Questions (FAQ)
1. Does the Gen 7 catch rate calculator account for the Beast Ball?
Yes, it includes the 5x bonus for Ultra Beasts and the 0.1x penalty for standard Pokémon.
2. Is Roto Catch better than an Ultra Ball?
They serve different purposes. Roto Catch is a 1.5x global multiplier that stacks with whatever ball you use. Using both together is best.
3. Why is Beldum so hard to catch in Gen 7?
Beldum has a base catch rate of 3, the same as most Legendaries, which our gen 7 catch rate calculator confirms is roughly a 1.6% chance at full HP with a standard Poké Ball.
4. What is a Critical Catch?
A Critical Catch is an event where the ball shakes only once. The probability depends on your Pokédex progress and the calculated “a” value.
5. Does the weather affect the gen 7 catch rate calculator?
Weather does not directly affect the catch formula, but it can cause damage (Hail/Sandstorm) that might accidentally faint the Pokémon you are trying to catch.
6. Can I catch a Pokémon with 0% chance?
Mathematically, the chance is never 0% unless you have no balls, but it can be as low as 0.1% for certain species in difficult balls.
7. Does the turn number matter?
Only if you are using a Quick Ball (Turn 1) or a Timer Ball (increases every turn up to 4x at turn 10+).
8. Are Ultra Sun/Moon rates different from base Sun/Moon?
The core formula is identical, but Ultra Sun/Moon adds the Roto Catch power which changes the effective odds significantly.
Related Tools and Internal Resources
- Pokémon Shiny Odds Calculator – Determine your chances of finding a shiny in Gen 7.
- Gen 7 IV Calculator – Check the potential of your newly caught Pokémon.
- Pokémon Damage Calculator – Ensure your False Swipe won’t accidentally kill the target.
- Friendship Calculator – See how quickly your new catch will evolve.
- Egg Cycle Calculator – Plan your breeding after the catch.
- Experience Calculator Gen 7 – Calculate the level gains from your captures.
Gen 7 Catch Rate Calculator
Precision tool for Calculating capture odds in Pokémon Sun, Moon, and Ultra Series.
Using Gen 7 shake check logic.
0
0
0%
Probability Comparison
Visualizing standard catch vs with status and roto enhancements.
| Species Type | Base Rate | Max HP Ultra Ball Chance (1 HP) | Status + Ultra Ball (1 HP) |
|---|---|---|---|
| Legendary (Solgaleo/Lunala) | 45 | ~35.3% | ~88.2% |
| Legendary (Tapus/U-Beasts) | 3 | ~2.4% | ~6.0% |
| Rare Spawns (Drampa/Turtonator) | 45 | ~35.3% | ~88.2% |
| Common (Yungoos/Pikipek) | 255 | 100% | 100% |
What is a Gen 7 Catch Rate Calculator?
A gen 7 catch rate calculator is a specialized tool designed for players of Pokémon Sun, Moon, Ultra Sun, and Ultra Moon. Unlike previous iterations, Gen 7 introduced unique mechanics such as the Roto Catch Rotom Power and adjusted multipliers for various status effects. Understanding the exact probability of capturing a wild Pokémon allows trainers to manage their resources, such as the expensive Ultra Balls or the rare Master Ball, more effectively.
Who should use this? Competitive collectors, shiny hunters, and speedrunners rely on a gen 7 catch rate calculator to determine if they need to inflict a status condition or lower the target’s HP further. A common misconception is that catching a Pokémon is purely random; in reality, it is a complex mathematical formula involving base rates, HP ratios, and specific item multipliers.
Gen 7 Catch Rate Calculator Formula and Mathematical Explanation
The core of the gen 7 catch rate calculator relies on the calculation of the “a” value, which is then used to determine the success of four independent “shakes.”
The Step-by-Step Derivation
1. The “a” Variable: First, we calculate the capture strength factor:
a = floor( floor((3 * HP_max – 2 * HP_curr) * Rate * Ball / (3 * HP_max)) * Status * Roto)
2. The Shake Check: If a is 255 or higher, the Pokémon is caught. Otherwise, we calculate the shake probability b:
b = floor(65535 * (a / 255)^0.25)
3. Final Result: The game generates a random number four times. If all four numbers are less than b, the catch is successful.
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| HP_max | Total Health of the Pokémon | Points | 10 – 400+ |
| HP_curr | Remaining Health | Points | 1 – HP_max |
| Rate | Species Base Catch Rate | Constant | 3 – 255 |
| Ball | Poké Ball Multiplier | Multiplier | 0.1x – 8x |
| Status | Condition Multiplier | Multiplier | 1.0x – 2.5x |
Practical Examples (Real-World Use Cases)
Example 1: Catching Tapu Koko
Suppose you are facing Tapu Koko (Base Rate 3). It has 174 Max HP and you have reduced it to 1 HP using False Swipe. You are using a Dusk Ball in a cave (3x multiplier) and it is paralyzed (1.5x status bonus). By entering these into the gen 7 catch rate calculator, we find a capture chance of roughly 5.8% per throw.
Example 2: Using Roto Catch on a Beldum
Beldum is notoriously difficult with a catch rate of 3. If you use an Ultra Ball (2x) and a Roto Catch (1.5x) while it’s at 1 HP, the gen 7 catch rate calculator shows that your odds jump from negligible to around 3.8% per turn. While still low, it’s a massive relative increase.
How to Use This Gen 7 Catch Rate Calculator
Follow these steps to get the most out of the gen 7 catch rate calculator:
- Input HP: Enter the Max HP and current HP. Use False Swipe to get it to 1 HP for optimal results.
- Identify Base Rate: Look up the Pokémon’s base catch rate. Most legendaries are 3 or 45.
- Select Your Ball: Choose the Poké Ball you plan to throw. Note that Beast Balls have a massive penalty (0.1x) on non-Ultra Beasts.
- Add Status: Select if the Pokémon is Sleeping, Frozen, Paralyzed, etc.
- Enable Roto Catch: If you are using the Rotom Power, make sure to toggle this on for the 1.5x boost.
- Read the Main Result: The large percentage shows your chance of a successful capture per single throw.
Key Factors That Affect Gen 7 Catch Rate Calculator Results
- Current HP Ratio: The closer to 0% HP, the higher the value of a. False Swipe is the most important tool in any Gen 7 hunter’s kit.
- Status Conditions: Sleep and Freeze offer a 2.5x multiplier, which is significantly better than the 1.5x offered by Paralysis or Poison.
- Pokédex Completion: The number of species you have caught increases the “Critical Catch” multiplier, which can bypass the standard 4-shake check.
- Roto Catch Power: This 1.5x multiplier stacks multiplicatively with balls and status, making it the most powerful capture aid in Gen 7.
- Ball Specialization: Using a Net Ball on a Water-type (3.5x) is more effective than an Ultra Ball (2x). Always match the ball to the target.
- Level Difference: Unlike Gen 8, Gen 7 does not have a strict level-cap lock, but being a higher level than the wild Pokémon is generally required to even initiate the battle effectively.
Frequently Asked Questions (FAQ)
1. Does the Gen 7 catch rate calculator account for the Beast Ball?
Yes, it includes the 5x bonus for Ultra Beasts and the 0.1x penalty for standard Pokémon.
2. Is Roto Catch better than an Ultra Ball?
They serve different purposes. Roto Catch is a 1.5x global multiplier that stacks with whatever ball you use. Using both together is best.
3. Why is Beldum so hard to catch in Gen 7?
Beldum has a base catch rate of 3, the same as most Legendaries, which our gen 7 catch rate calculator confirms is roughly a 1.6% chance at full HP with a standard Poké Ball.
4. What is a Critical Catch?
A Critical Catch is an event where the ball shakes only once. The probability depends on your Pokédex progress and the calculated “a” value.
5. Does the weather affect the gen 7 catch rate calculator?
Weather does not directly affect the catch formula, but it can cause damage (Hail/Sandstorm) that might accidentally faint the Pokémon you are trying to catch.
6. Can I catch a Pokémon with 0% chance?
Mathematically, the chance is never 0% unless you have no balls, but it can be as low as 0.1% for certain species in difficult balls.
7. Does the turn number matter?
Only if you are using a Quick Ball (Turn 1) or a Timer Ball (increases every turn up to 4x at turn 10+).
8. Are Ultra Sun/Moon rates different from base Sun/Moon?
The core formula is identical, but Ultra Sun/Moon adds the Roto Catch power which changes the effective odds significantly.
Related Tools and Internal Resources
- Pokémon Shiny Odds Calculator – Determine your chances of finding a shiny in Gen 7.
- Gen 7 IV Calculator – Check the potential of your newly caught Pokémon.
- Pokémon Damage Calculator – Ensure your False Swipe won’t accidentally kill the target.
- Friendship Calculator – See how quickly your new catch will evolve.
- Egg Cycle Calculator – Plan your breeding after the catch.
- Experience Calculator Gen 7 – Calculate the level gains from your captures.