Damage Reduction: Difference between revisions
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'''{{PAGENAME}}''' is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a Damage Reduction Potion or Leonardo | '''{{PAGENAME}}''' (commomly referred to as [[Glossary|DR]]) is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a {{Icon|Damage Reduction Potion}} or {{PetIcon|Leonardo}}. | ||
Many monsters have Damage Reduction modifiers that affect their defensive stats. | Many monsters have Damage Reduction modifiers that affect their defensive stats. | ||
==Mechanics== | ==Mechanics== | ||
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, | The player's damage reduction while engaged in combat can be calculated as their damage reduction % outside of combat ('Base Damage Reduction'), less any penalties that apply when in combat (such as the Intimidation passive effect present on many {{TotH}} [[monsters]]), all multiplied by the [[Combat Triangle]] damage reduction modifier. Damage reduction has a maximum value of 95% and a minimum of 0%, where the in-combat damage reduction can be calculated as: | ||
<math>\text{Damage Reduction %} = \min \Big( \max \Big( \Big\lfloor \left ( \text{Base Damage Reduction %} - \text{In-Combat Penalties} \right ) \times \text{Combat Triangle Modifier} \Big\rfloor , 0 \Big), 95 \Big)</math> | |||
Where: <math> \left \lfloor x \right \rfloor </math> is the [https://en.wikipedia.org/wiki/Floor_and_ceiling_functions floor function]. | |||
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, the damage taken is reduced. This reduced damage can be calculated as follows: | |||
<math>\text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor</math> | |||
==Damage Reduction Modifiers== | |||
{{ModifierTable|DamageReduction|Damage Reduction}} | |||
Damage | ==Melee Damage Reduction Equipment== | ||
{{EquipmentDRTable|Melee}} | |||
==Ranged Damage Reduction Equipment== | |||
{{EquipmentDRTable|Ranged}} | |||
== | ==Mage Damage Reduction Equipment== | ||
{{ | {{EquipmentDRTable|Magic}} | ||
== | ==Other Damage Reduction Equipment== | ||
{{EquipmentDRTable|Other}} | |||
<!-- No such modifier exists | |||
==Penetrating Enemy Damage Reduction== | |||
{{ModifierTable|EnemyDamageReduction|Enemy Damage Reduction}} | |||
--> | |||
{{Menu}} | |||
Latest revision as of 18:01, 18 June 2024
| This page is up to date (v1.3.1). |
Damage Reduction (commomly referred to as DR) is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a 
Damage Reduction Potion or
Error creating thumbnail: File missing
Leonardo.
Many monsters have Damage Reduction modifiers that affect their defensive stats.
Mechanics
The player's damage reduction while engaged in combat can be calculated as their damage reduction % outside of combat ('Base Damage Reduction'), less any penalties that apply when in combat (such as the Intimidation passive effect present on many 
monsters), all multiplied by the Combat Triangle damage reduction modifier. Damage reduction has a maximum value of 95% and a minimum of 0%, where the in-combat damage reduction can be calculated as:
[math]\displaystyle{ \text{Damage Reduction %} = \min \Big( \max \Big( \Big\lfloor \left ( \text{Base Damage Reduction %} - \text{In-Combat Penalties} \right ) \times \text{Combat Triangle Modifier} \Big\rfloor , 0 \Big), 95 \Big) }[/math]
Where: [math]\displaystyle{ \left \lfloor x \right \rfloor }[/math] is the floor function.
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, the damage taken is reduced. This reduced damage can be calculated as follows:
[math]\displaystyle{ \text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor }[/math]
Damage Reduction Modifiers
| Source | Type | DLC | Damage Reduction | Other Modifiers |
|---|---|---|---|---|
 Damage Reduction Potion IV | Item |  | +10% Damage Reduction | |
 Damage Reduction Potion III | Item | | +6% Damage Reduction | |
 Guardian Amulet | Item (Amulet, Passive) | | +5% Damage Reduction | +10% Attack Interval |
Error creating thumbnail: File missing Holy Aegis | Prayer | | +5% Damage Reduction | |
 Damage Reduction Potion II | Item | | +4% Damage Reduction | |
 Defence Relic 5 | Ancient Relic |  | +3% Damage Reduction | |
Error creating thumbnail: File missing Stone Skin | Prayer | | +3% Damage Reduction | |
 Damage Reduction Potion I | Item | | +2% Damage Reduction | |
Error creating thumbnail: File missing Gods Enhancement (Superior) | Item (Enhancement1, Enhancement2, Enhancement3) | | +2% Damage Reduction | +4% Maximum Hitpoints +20% chance to ignore Stun, Freeze or Crystallize |
Error creating thumbnail: File missing Gods Enhancement 2 (Augmented) | Item (Enhancement2) | | +2% Damage Reduction | |
Error creating thumbnail: File missing Lake Swim | Agility Obstacle 6 | | +1% Damage Reduction | +3% Chance To Preserve Prayer Points +5% Damage To All Monsters |
Error creating thumbnail: File missing Raft Building | Agility Obstacle 8 | | +1% Damage Reduction | +20 Maximum Hitpoints +2% Damage To All Monsters |
Error creating thumbnail: File missing Frozen Maze | Agility Obstacle 11 | | +1% Damage Reduction | -20% Ammo Preservation -3 Prayer Point Cost for Prayers -20% Rune Preservation -0.1s Monster Respawn Timer |
Error creating thumbnail: File missing Gods Enhancement 2 | Item (Enhancement2) | | +1% Damage Reduction | |
 Smithing Lesser Relic | Item (Consumable) | | +1% Damage Reduction | -5% Smithing Interval +10% Global Evasion |
Error creating thumbnail: File missing Yak | Item (Summon1, Summon2) | | +1% Damage Reduction | |
Error creating thumbnail: File missing Erran | Pet | | +1% Damage Reduction | |
Error creating thumbnail: File missing Leonardo | Pet | | +1% Damage Reduction | |
Error creating thumbnail: File missing Safeguard | Prayer | | +1% Damage Reduction | |
Error creating thumbnail: File missing Martyr | Prayer | | -1% Damage Reduction | +40% Reflect Damage |
Error creating thumbnail: File missing Spike Trap | Agility Obstacle 7 | | -2% Damage Reduction | -40 Maximum Hitpoints |
Error creating thumbnail: File missing Mud Dive | Agility Obstacle 4 | | -4% Damage Reduction | +20 Maximum Hitpoints +2% Melee Max Hit +5% Melee Accuracy Rating |
 Masquerade Mask | Item (Consumable) | | -4% Damage Reduction | +45 Stealth while Thieving -25% Thieving Stun Interval |
Error creating thumbnail: File missing Lava Jump | Agility Obstacle 9 | | -6% Damage Reduction | -6% Mastery XP in all Skills -6% Auto Eat Efficiency -0.3s Monster Respawn Timer |
Melee Damage Reduction Equipment
Ranged Damage Reduction Equipment
Mage Damage Reduction Equipment
Other Damage Reduction Equipment
| Melvor Idle version v1.3.1 (Released: 30th October 2024) |
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