Formula

From TibiaWiki

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.

Contents 1 Player Statistics 1.1 Level 1.2 Experience 1.3 Magic Level 1.4 Magic Power 1.5 Fishing 1.6 Mana 1.7 Hitpoints 1.8 Capacity 1.9 Speed 1.9.1 Unmodified 1.9.2 Walking Time 1.9.3 Boots of Haste 1.9.4 Time Ring 1.9.5 Haste 1.9.6 Strong Haste 1.9.7 Swift Foot 1.9.8 Charge 1.10 Exp from Killing other Players on PvP-Enforced World (before Update 8.53) 1.11 Mana Training Time 2 Tibian Environment 2.1 Time 2.2 Attack Spell/Rune Damage 2.3 Melee 2.4 Melee based spells 2.5 Distance 2.6 Distance based spells 2.7 Armor and Defense

[edit] Player Statistics

[edit] Level

or alternatively (use whichever you prefer):

Where x = level

For details about the Level Formula, visit this page.

[edit] Experience

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

Where x = current level

[edit] Magic Level

• Mana required to advance to next magic level:

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

[edit] Magic Power

Usually displayed as percent.

[edit] Fishing

Number of tries required to advance to next fishing level, where x is next fishing level:


Number of tries from fishing level 10 to x:

[edit] 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 :
• Paladins :
• Sorcerers and Druids :

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

The full formulae will be:

• Knights :
• Paladins :
• Sorcerers and Druids :

Where y is the level thou'st left Rookgaard.

[edit] 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 :
• Paladins :
• Rookers, Sorcerers and Druids :

Where x is thy level and y is the level thou'st left Rookgaard.

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

The full formulae will be:

• Knights :
• Paladins :
• Rookers, Sorcerers and Druids :

Where x is thy level and y is the level thou'st left Rookgaard.

[edit] 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 = 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

The full formulae will be:

• Knights :
• Paladins :
• Sorcerers and Druids :

Where x is thy level and y is the level thou'st left Rookgaard.

[edit] 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.

[edit] Unmodified

This determines your Unmodified Speed, or "BaseSpeed".

[edit] Walking Time

The number of seconds it takes for a player to walk 1 square

Walking Time is entirely dependent on the type of Tiles you are walking on. Moving on a diagonal takes 3 times as long.

[edit] Boots of Haste

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

[edit] Time Ring

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

[edit] Haste

This determines the difference in your speed after casting Haste.

[edit] Strong Haste

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

[edit] Swift Foot

It can be combined with time ring and/or boots of haste. It replaces any other haste spell.

(Due to not 100% exact formula the result has to be rounded to closest even number.)

[edit] Charge

It can be combined with time ring and/or boots of haste. It replaces any other haste spell.

(Due to not 100% exact formula the result has to be rounded to closest even number.)

[edit] Exp from Killing other Players on PvP-Enforced World (before Update 8.53)

• a = victim's level * 1,1, rounded down
• b = killer's level
• c = victim's level
• d = total experience of victim * 0,05, rounded down
• e = round this number down to get your exp-gain

[edit] Mana Training Time

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

• For sorcerers and druids:

^x

• For master sorcerers and elder druids:

^x

• For knights and elite knights:

^x

• For paladins:

^x

• For royal paladins:

^x

[edit] Tibian Environment

[edit] Time

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

[edit] Attack Spell/Rune Damage

NOTICE: This formula is based upon observed values with c calculated to one tenth with fair certainty. NOTE: This formulas are based upon observed values in the update 8.1 +.

min:

max:

avg:

• a = Character's Level
• b = Character's Magic Level
• c = Multiplier for min of the desired attack spell/rune
• d = Multiplier for max of the desired attack spell/rune

The c values are roughly:

The d values are roughly:

[edit] Melee

NOTICE: This formula is based upon observed values.

• Maximum Melee Damage:

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 0.085x1x50x85+80/5 = 377.25 (377 rounded)
• Damage factor
  • Full Attack: 1
  • Balanced: 0.75
  • Full Defence: 0.5

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. The average damage you will deal is approximately half your maximum damage. Also note, this doesn't take into account monsters weakness or strength to physical damage and if you use blood rage, you'll have to use the appropriate skills in place of your normal skills.

[edit] Melee based spells

NOTICE: This formula is based upon observed values.

• Whirlwind Throw:

min:

max:

avg:

• a = Character's skill
• b = Character's weapon attack
• c = Character's Level

• Groundshaker:

min:

max:

avg:

• a = Character's skill
• b = Character's weapon attack
• c = Character's Level

• Berserk:

min:

max:

avg:

• a = Character's skill
• b = Character's weapon attack
• c = Character's Level

• Fierce Berserk:

min:

max:

avg:

• a = Character's skill
• b = Character's weapon attack
• c = Character's Level

Note: As usual, damage is reduced by armor but none of these abilities can be blocked by shielding. Also note, this doesn't take into account monsters weakness or strength to physical damage and if you use blood rage, you'll have to use the appropriate skills in place of your normal skills.

[edit] Distance

NOTE: These formulae are based upon observed values.

• Minimum Damage with Distance weapons:
• 
  • Where x = player's current Level.

round means the value should be rounded to the nearest integer, thus 5,5 should be rounded to 6 and 5,4 should be rounded to 5.
To calculate your damage on players, divide the result by 2.

• Maximum Damage with Distance weapons:
• 
  
  • Where:
  • x = player's current Distance skill
  • y = Attack value of the distance weapon
  • d = Damage factor:
    • Full Attack: 1
    • Balanced: 0.75
    • Full Defense: 0.5

To calculate your damage on players, divide the result by 2.

Note that armor of the target will reduce your damage.

• Chance to hit (without weapon hit chance modifier)

Distance	1H weapon (throwing)	2H weapon (any bow or crossbow)	Any bow + Sniper Arrows
1	%	%	%
2	%	%	%
3	%	%	%
4	%	%	%
5	%	%	%
6	%	%	%
7	%

[edit] Distance based spells

NOTICE: This formula is based upon observed values.

• Ethereal Spear:

min:

max:

avg:

• a = Character's skill
• b = Character's Level

[edit] Armor and Defense

• Damage reduction

Min:

Max:

• Attack of Creature = a
  

(Let's supose that a creature has a max damage of 500. The attack of creature will be a random number from 1 to 500)

• Defense = b (Defense value of your shield plus your weapon modifier or defense value of your two handed weapon)
  
• Total Armor = c (Make a sum of all your set arm value)
  
• Shielding = d
  
• Defense factor = e
  

Full Attack: 5
Balanced: 7
Defensive: 10

Now use this formula:

a - b(d*e/100) - (a/100) * c = Average damage

NOTICE: The max damage of a creature could be higher than the max damage in creatures page.