Formulae

There are many different formulas and calculations and interesting data in Tibia. For example how much experience you need for a level, how much mana you need for a magic level, how long time it takes to advance in different skills, how long time a day in Tibia is counted in real life time, etc etc.

Player Statistics

Level

$\frac{50x^3}{3} - {100x^2} + \frac{850x}{3} - 200$

or alternatively (use whichever you prefer):

$\frac{50(x-1)^3 - 150(x-1)^2 + 400(x-1)}{3}$

Where x = level

For details about the Level Formula, visit this page.

Experience

For the amount of experience needed to reach the next level:

$50x^2 - 150x + 200$

Where x = current level

Magic Level

• Mana required to advance to next magic level:

$1600 * b^a$

• a = Current Magic Level
• b = Vocation Multiplier
  • Mages: 1.1
  • Paladins: 1.4
  • Knights: 3

Magic Power

$max(1,(lvl+4*mlvl)/100)$
Usually displayed as percent.

Mana

• With this you can calculate an amount of mana you or someone else has at a certain level.
  • Only if you left Rookgaard at level 8.

• Knights : $x*5 - 5$
• Paladins : $x*15 - 85$
• Sorcerers and Druids : $x*30 - 205$

Where x is the level you want to check.

In case you left Rookgaard after Level 8:

• Paladins will have less 10 mana each level they stayed on Rookgaard after Level 8
• Sorcerers and Druids will have less 25 mana each level they stayed on Rookgaard after Level 8

Hitpoints

• With this you can calculate an amount of hp you or someone else has at a certain level.
  • Only if you left Rookgaard at level 8.

• Knights : $x*15 + 65$
• Paladins : $x*10 + 105$
• Rookguardians, Sorcerers and Druids : $x*5 + 145$

Where x is the level you want to check.

Incase you have left rookgaard after level 8:

• Knights will have less 10 hitpoints each level they stayed on Rookgaard after Level 8
• Paladins will have less 5 hitpoints each level they stayed on Rookgaard after Level 8

Capacity

• With this you can calculate an amount of Capacity you or someone else has at a certain level.
  • Only if you left Rookgaard at level 8.

$(level-8) * a + 470$

• Level = is the level you want to know the amount of Capacity it has.
• a = Capacity gained each level up.
  • Knight = 25
  • Paladin = 20
  • Rookguardian, Sorcerer and Druid = 10

Speed

NOTICE: These formulas are based upon observed values. The input factors are also assumed based upon these same observations. These formulas may not be 100% accurate.

Your speed helps determine how fast you walk in-game. The base speed for a level 1 player is 220.

The type of surface you walk on reduces your speed (i.e.: you walk faster on pavement than you do on grass or mud). Below are the formulas for determining your speed in different states.

Unmodified

$220 + (2 * (level - 1))$ This determines your Unmodified Speed, or "BaseSpeed".

Haste

$(BaseSpeed * 1.3) - 24$

This determines the difference in your speed after casting Haste.

Strong Haste

$(BaseSpeed * 1.7) - 56$

This determines the difference in your speed after casting Strong Haste.

Time Ring

$BaseSpeed + 60$

This can be combined with Boots of Haste and one of the haste spells.

Boots of Haste

$BaseSpeed + 20$

This can be combined with Time Ring and one of the haste spells.

Exp from Killing other Players on PvP-Enforced World

$(1 - (a / b)) * 0.05 * c$

• a = killer's level * 0.9 <- rounded down
• b = victim's level
• c = victim's experience

Round the result down to the nearest whole number

Mana Training Time

These formulas enable you to calculate how much time is needed to go a Magic Level up.
For all formulas:
$y$ is the time needed to go a Magic Level up, in hours;
x is the current Magic Level;
$z$ is the percent you have to go to the next Magic Level in decimal form (i.e. 50% is written 0.5).

• For sorcerers, druids and royal paladins:

$y = ([(1600*1.1$^x$)*z]/40)/60$

• For master sorcerers and elder druids:

$y = ([(1600*1.1$^x$)*z]/60)/60$

• For knights and elite knights:

$y = ([(1600*3$^x$)*z]/20)/60$

• For paladins:

$y = ([(1600*1.4$^x$)*z]/30)/60$

Tibian Environment

Time

• 2.5 seconds = 1 Tibian minute
• 30 minutes = 12 Tibian hours
• 1 hour = 24 Tibian hours

Attack Spell/Rune Damage

NOTICE: This formula is based upon observed values with c calculated to one tenth with fair certainty. NOTE: Since the 2007 summer update, this formula is inaccurate due to the reduction of magic damage by decreasing player level's meaning (except for healing spells/runes) - this section needs a revision.

min: $((a / 3) + (b / 2)) * c1 + d1$

max: $((a / 3) + (b / 2)) * c2 + d2$

avg: $(max+min)/2$

• a = Character's Level
• b = Character's Magic Level
• c = Multiplier for the desired attack spell/rune
• d = Shift for the desired attack spell/rune
  • NOTE: Each attack spell/rune has a different multiplier to determine how much damage can be done with it. These multipliers are simply based upon observed damages. For simplicity, c values are going to be the same and d values are non-existent. Until someone takes the time to apply some statistics to estimate the unknown variables, that's the way it's going to be.

The c values are roughly:

0.9 for Light Magic Missiles (LMM)

1.5 for Light Healing [exura]

2.7 for strike spells [exori vis/flam/mort/frigo/tera]

1.8 for Heavy Magic Missiles [HMM]

3 for Explosion [adevo mas hur]

3 for Intense Healing [exura gran]

3.3 for Great Fireball [GFB]

8.7 for Sudden Death [SD]

9.9 for Berserk [exori]

12 for Energy Wave [exevo vis hur]

15 for Ultimate Healing [exura vita]

16.8 for ultimate spells [exevo gran mas vis/flam/frigo/tera]

Melee

NOTICE: This formula is based upon observed values.

• Maximum Melee Damage:

$\frac{0,5xy + 10x + 10y + l}{100} * d$ Where:

• x = Weapon's attack
• y = Player's skill level
• l = Player's level
• d = Damage Factor

• Let's take for example a player level 80, holding a weapon which has an attack value of 50, skills of 85 and he is attacking on full attack.
  • It would be like this (0,5*85*50 + 500 + 850 + 80)/100 * 10 = 355,5(356 rounded)

• Damage factor
  • Full Attack: 10
  • Balanced: 7
  • Full Defence: 5

So the damage you will do will be between 0 and the calculated number, please note that shielding and armor from the target will reduce your damage

Armor

• Damage reduction

Min: $(total armor) * 0,475$
Max: $((total armor) * 0,95) -1$