I was looking into the mechanics of Poké balls, and there's a lot of conflicting information about how the bonus from timer balls is calculated.

Earlier than Gen 5, everywhere agrees that the bonus starts at 1 and increases by 1 every 10 turns, to a maximum of 4 at t = 30.
Bulbapedia gives a continuous formula:

C = (10 + T) / 10 

but it's not clear whether that's supposed to be rounded down to the nearest integer.

From Gen 5 onwards, some places claim the calculation has changed to:

C = (1 + X * 1229/4096) 

However, the majority of sites only mention the other formula.

So are these two formulae correct for their respective generations? Are either of them rounded?


Generation III and IV

(("Amount of turns passed in battle" + 10) ÷ 10)x
[maximum 4×]

This means:

  • 1× if less than 10 turns have taken place
  • 2× if between 10 and 20 turns have taken place
  • 3× if between 20 and 30 turns have taken place
  • 4× if over than 30 turns have taken place

These are all rounded values.

As explained on Dragonflycave:

The Pokémon games prior to the fifth generation only work with integers. In practice, this essentially means that they round all numbers down, including at every intermediate step in a calculation.

Generation V and VI

(1 + "number of turns passed in battle" * 1229/4096)×
[maximum 4×]

This means you get approximately a 0.3 bonus each turn passed, up to 4x.

Other sources: Bulbapedia, Smogon, Thonky

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  • Your sources are contradictory in regards to Generations 3 and 4. – Wrigglenite Jun 10 '16 at 14:31
  • @DanmakuGrazer which part? – pinckerman Jun 10 '16 at 14:32
  • Bulbapedia uses the integer division symbol, which I assume is why you're rounding down for Generations 3 and 4, while the Wikia doesn't. – Wrigglenite Jun 10 '16 at 14:33
  • @DanmakuGrazer oh yes, they use a different notation, but it's an integer division. – pinckerman Jun 10 '16 at 14:35
  • I don't see that mentioned anywhere, so I don't know if I would personally count that as a source. – Wrigglenite Jun 10 '16 at 14:36

Neither is rounded down, they both slightly increase in potency linearly with each passing turn. And yes, Timer Balls did get stronger in Gen 5.

Source for gens 3 and 4.

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  • 5
    do you have a source? – Pyritie Jun 10 '16 at 13:32
  • @Pyritie Not at the moment, this is what I remember from past research I've done. – Wrigglenite Jun 10 '16 at 13:47
  • @Pyritie Added source. It seems the most trustworthy out of Serebii, Smogon, Bulbapedia, all of the usual ones. Bulbapedia could be interpreted either way, so I don't know if I'd call it a source for one interpretation or the other. – Wrigglenite Jun 12 '16 at 14:56

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