Pokemon Heartgold Catch Rate Calculator

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Pokémon HeartGold Catch Rate Calculator

Lugia/Ho-Oh = 3, Legendaries = 3, Starters = 45
Poké Ball / Premier Ball (1x) Great Ball (1.5x) Ultra Ball (2x) Dusk Ball (Cave/Night) (3.5x) Fast Ball (Speed > 100) (4x) Lure Ball (Fishing) (3x) Love Ball (Same species/Opp. sex) (8x) Moon Ball (Moon Stone evo) (4x) Net Ball (Water/Bug) (3.5x) Master Ball (Auto-catch)
None (1x) Sleep or Freeze (2x) Paralyze, Burn, or Poison (1.5x)

Your chance of catching this Pokémon per throw is:

0%

How the Catch Rate Works in HeartGold & SoulSilver

In Pokémon HeartGold (Generation IV), the game uses a specific mathematical formula to determine if a Pokémon is caught when you throw a ball. Unlike later generations, the Gen IV formula relies heavily on the "Capture Value" (often referred to as 'a').

The Capture Value Formula

The game first calculates a value a using this formula:

a = (((3 * MaxHP – 2 * CurrHP) * Rate * BallMod) / (3 * MaxHP)) * StatusMod

  • MaxHP: The total hit points of the wild Pokémon.
  • CurrHP: The remaining hit points of the wild Pokémon.
  • Rate: The base catch rate of the species (e.g., Caterpie is 255, Lugia is 3).
  • BallMod: The multiplier of the ball being used.
  • StatusMod: 2 for Sleep/Freeze, 1.5 for other conditions, 1 for none.

Probability and Shakes

If the value a is 255 or higher, the Pokémon is caught instantly. If it is lower than 255, the game calculates a second value b to determine how many times the ball shakes. The actual probability of a successful catch is equivalent to the chance of passing four independent "shake checks."

Common Base Catch Rates

Pokémon Category Base Catch Rate
Most Legendaries (Lugia, Ho-Oh, Entei) 3
Snorlax / Lapras 25 / 45
Starter Pokémon (Chikorita, etc.) 45
Common early-game (Rattata, Pidgey) 255

Examples for HeartGold Players

Example 1: Lugia at 1 HP
If you are using an Ultra Ball (2x) and Lugia is Paralyzed (1.5x) with 1 HP remaining (assuming ~200 Max HP):
The calculation results in approximately a 5-7% catch chance per ball. This is why legendaries are so difficult!

Example 2: Using the Heavy Ball
In HGSS, the Heavy Ball works differently than other balls. Instead of a multiplier, it adds or subtracts from the base catch rate based on weight. For extremely heavy Pokémon like Snorlax, it adds +40 to the base rate, making it much more effective than an Ultra Ball.

function calculateCatchRate() { var maxHP = parseFloat(document.getElementById('maxHP').value); var currHP = parseFloat(document.getElementById('currHP').value); var baseRate = parseFloat(document.getElementById('baseCatchRate').value); var ballMod = parseFloat(document.getElementById('ballType').value); var statusMod = parseFloat(document.getElementById('statusCondition').value); if (isNaN(maxHP) || isNaN(currHP) || isNaN(baseRate)) { alert("Please enter valid numbers for HP and Catch Rate."); return; } if (currHP > maxHP) { alert("Current HP cannot be higher than Max HP."); return; } // Special case for Master Ball if (ballMod === 255) { displayResult(100, "The Master Ball never fails!"); return; } // Capture Value Formula (Gen 4) var a = (((3 * maxHP – 2 * currHP) * baseRate * ballMod) / (3 * maxHP)) * statusMod; var finalProb = 0; if (a >= 255) { finalProb = 100; } else { // Gen 4 Shake Probability Formula // b = 65535 / (255/a)^0.25 // Probability = (b / 65536)^4 // This simplifies significantly: var b = 65535 * Math.pow((a / 255), 0.25); var shakeCheckProb = Math.floor(b) / 65536; finalProb = Math.pow(shakeCheckProb, 4) * 100; } // Formatting result var resultText = ""; if (finalProb < 1) { resultText = "Very low chance. You'll need a lot of luck!"; } else if (finalProb < 10) { resultText = "Tough catch. Expect many breaks."; } else if (finalProb < 30) { resultText = "Decent chance. Keep throwing!"; } else { resultText = "Good chance of capture!"; } displayResult(finalProb.toFixed(2), resultText); } function displayResult(percentage, info) { document.getElementById('resultBox').style.display = 'block'; document.getElementById('resultValue').innerHTML = percentage + "%"; document.getElementById('shakeInfo').innerHTML = info; // Smooth scroll to result document.getElementById('resultBox').scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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