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 {{Icon|Damage Reduction Potion}} or {{PetIcon|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.  

Revision as of 09:10, 16 May 2023

This page was last updated for (v1.1.2).

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

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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 TotH.svg 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

Melee Damage Reduction Equipment

DR% Helmet Platebody Platelegs Boots Gloves Weapon Shield
1% AoD.png (B) Steel Helmet
(G) Steel Helmet
AoD.png (S) Crystal Helmet
AoD.png Crystal Helmet
Slayer Helmet (Basic)
AoD.png (B) Steel Platebody
(G) Steel Platebody
AoD.png (S) Crystal Platebody
AoD.png Crystal Platebody
Slayer Platebody (Basic)
AoD.png (B) Steel Platelegs
(G) Steel Platelegs
AoD.png (S) Crystal Platelegs
AoD.png Crystal Platelegs
(G) Steel Boots
AoD.png (S) Crystal Boots
AoD.png Crystal Boots
AoD.png Crystal Gloves (G) Steel Shield
AoD.png (S) Crystal Shield
AoD.png Crystal Defender
AoD.png Crystal Shield
2% AoD.png (B) Black Helmet
(G) Black Helmet
Slayer Helmet (Strong)
AoD.png (B) Black Platebody
(G) Black Platebody
Slayer Platebody (Strong)
AoD.png (B) Black Platelegs
(G) Black Platelegs
(G) Black Boots
AoD.png Heavy Boots
Desert Wrappings AoD.png Cursed 2H Sword (m)
AoD.png Unholy 2H Sword (m)
(G) Black Shield
3% AoD.png (B) Mithril Helmet
AoD.png (C) Mithril Helmet
AoD.png (G) Crystal Helmet
(G) Mithril Helmet
AoD.png (B) Mithril Platebody
AoD.png (C) Mithril Platebody
AoD.png (G) Crystal Platebody
(G) Mithril Platebody
AoD.png (B) Mithril Platelegs
AoD.png (C) Mithril Platelegs
AoD.png (G) Crystal Platelegs
(G) Mithril Platelegs
AoD.png (G) Crystal Boots
(G) Mithril Boots
AoD.png Crystal 2H Hammer
AoD.png Crystal Twin Blades
AoD.png (G) Crystal Shield
(G) Mithril Shield
AoD.png Pure Crystal Defender
4% AoD.png (B) Adamant Helmet
AoD.png (C) Adamant Helmet
(G) Adamant Helmet
TotH.svg (I) Corundum Helmet
Slayer Helmet (Elite)
AoD.png (B) Adamant Platebody
AoD.png (C) Adamant Platebody
(G) Adamant Platebody
TotH.svg (I) Corundum Platebody
AoD.png Aranite Platebody
Slayer Platebody (Elite)
AoD.png Unholy Platebody (m)
AoD.png (B) Adamant Platelegs
AoD.png (C) Adamant Platelegs
(G) Adamant Platelegs
TotH.svg (I) Corundum Platelegs
(G) Adamant Boots
TotH.svg (I) Corundum Boots
Paladin Gloves (G) Adamant Shield
AoD.png Aranite Shield
5% AoD.png (B) Rune Helmet
AoD.png (C) Rune Helmet
(G) Rune Helmet
TotH.svg (I) Augite Helmet
AoD.png (S) Pure Crystal Helmet
AoD.png Pure Crystal Helmet
AoD.png (B) Rune Platebody
AoD.png (C) Rune Platebody
(G) Rune Platebody
TotH.svg (I) Augite Platebody
AoD.png (S) Pure Crystal Platebody
AoD.png Cursed Platebody (m)
AoD.png Pure Crystal Platebody
AoD.png (B) Rune Platelegs
AoD.png (C) Rune Platelegs
(G) Rune Platelegs
TotH.svg (I) Augite Platelegs
AoD.png (S) Pure Crystal Platelegs
AoD.png Pure Crystal Platelegs
(G) Rune Boots
TotH.svg (I) Augite Boots
AoD.png (S) Pure Crystal Boots
AoD.png Pure Crystal Boots
AoD.png Pure Crystal Gloves
AoD.png Unholy Melee Gloves (m)
AoD.png Pure Crystal 2H Axe
AoD.png Pure Crystal 2H Spear
(G) Rune Shield
AoD.png (S) Pure Crystal Shield
AoD.png Pure Crystal Shield
6% AoD.png (B) Dragon Helmet
AoD.png (C) Dragon Helmet
(G) Dragon Helmet
AoD.png (G) Pure Crystal Helmet
TotH.svg (I) Divine Helmet
Slayer Helmet (Master)
AoD.png (B) Dragon Platebody
AoD.png (C) Dragon Platebody
(G) Dragon Platebody
AoD.png (G) Pure Crystal Platebody
TotH.svg (I) Divine Platebody
Slayer Platebody (Master)
AoD.png (B) Dragon Platelegs
AoD.png (C) Dragon Platelegs
(G) Dragon Platelegs
AoD.png (G) Pure Crystal Platelegs
TotH.svg (I) Divine Platelegs
(G) Dragon Boots
AoD.png (G) Pure Crystal Boots
TotH.svg (I) Divine Boots
(G) Dragon Shield
AoD.png (G) Pure Crystal Shield
TotH.svg (I) Corundum Shield
AoD.png Consuming Shield (m)
Recoil Shield
7% AoD.png (B) Ancient Helmet
AoD.png (C) Ancient Helmet
(G) Ancient Helmet
Ragnar God Helmet
AoD.png Ragnar God Helmet (B)
AoD.png Ragnar God Helmet (C)
AoD.png (B) Ancient Platebody
AoD.png (C) Ancient Platebody
(G) Ancient Platebody
Ragnar God Platebody
AoD.png Ragnar God Platebody (B)
AoD.png Ragnar God Platebody (C)
AoD.png (B) Ancient Platelegs
AoD.png (C) Ancient Platelegs
(G) Ancient Platelegs
Ragnar God Platelegs
AoD.png Ragnar God Platelegs (B)
AoD.png Ragnar God Platelegs (C)
Ragnar God Boots
AoD.png Ragnar God Boots (B)
AoD.png Ragnar God Boots (C)
Ragnar God Gloves
Relentless Fury Gloves
(G) Ancient Shield
TotH.svg (I) Augite Shield
TotH.svg (I) Divine Shield
AoD.png Darksteel Shield
8% Terran God Helmet
AoD.png Terran God Helmet (B)
AoD.png Terran God Helmet (C)
Terran God Platebody
AoD.png Terran God Platebody (B)
AoD.png Terran God Platebody (C)
Terran God Platelegs
AoD.png Terran God Platelegs (B)
AoD.png Terran God Platelegs (C)
Terran God Boots
AoD.png Terran God Boots (B)
AoD.png Terran God Boots (C)
Spiked Shell Gloves
Terran God Gloves
AoD.png Hasty Trident
TotH.svg Heated Fury 2H Hammer
Terran Godsword
Ultima Godsword
Dragonfire Shield
9% TotH.svg (P) Corundum Helmet TotH.svg (P) Corundum Platebody TotH.svg (P) Corundum Platelegs TotH.svg (P) Corundum Boots Shield of Melee Power
10% TotH.svg (P) Augite Helmet
TotH.svg Slayer Helmet (Legendary)
TotH.svg (P) Augite Platebody
TotH.svg Slayer Platebody (Legendary)
TotH.svg (P) Augite Platelegs TotH.svg (P) Augite Boots TotH.svg Royal Toxins Spear
11% TotH.svg Meteorite Helmet TotH.svg Meteorite Platebody TotH.svg Meteorite Platelegs TotH.svg Ethereal Greataxe
12% TotH.svg (P) Divine Helmet
TotH.svg Blazing Helmet
TotH.svg Slayer Helmet (Mythical)
TotH.svg (P) Divine Platebody
TotH.svg Slayer Platebody (Mythical)
TotH.svg Ward of Flame Platebody
TotH.svg (P) Divine Platelegs
TotH.svg Burning Protection Platelegs
TotH.svg (P) Divine Boots AoD.png Devouring Barrier Shield
Earth Layered Shield
13% TotH.svg Mask of Madness TotH.svg (P) Corundum Shield
TotH.svg Leviathan Shield
AoD.png Relic Shield
14% TotH.svg Vorloran Protector Helmet TotH.svg Vorloran Protector Platebody TotH.svg Vorloran Protector Platelegs TotH.svg Vorloran Protector Boots TotH.svg Vorloran Protector Gauntlets TotH.svg (P) Augite Shield
16% TotH.svg (P) Divine Shield

Ranged Damage Reduction Equipment

DR% Helmet Platebody Platelegs Boots Gloves Weapon Shield
1% Slayer Cowl (Basic) Slayer Leather Body (Basic)
2% Slayer Cowl (Strong) AoD.png (B) Green D-hide Body
(U) Green D-hide Body
Slayer Leather Body (Strong)
AoD.png (B) Green D-hide Chaps
(U) Green D-hide Chaps
AoD.png (B) Green D-hide Vambraces
(U) Green D-hide Vambraces
AoD.png Cursed Longbow (m)
AoD.png Unholy Longbow (m)
(U) Green D-hide Shield
3% Ice Helmet AoD.png (B) Blue D-hide Body
(U) Blue D-hide Body
Ice Platebody
AoD.png (B) Blue D-hide Chaps
(U) Blue D-hide Chaps
Ice Platelegs
AoD.png Elusive Boots
Ice Boots
AoD.png (B) Blue D-hide Vambraces
(U) Blue D-hide Vambraces
(U) Blue D-hide Shield
Ice Shield
4% Slayer Cowl (Elite) AoD.png (B) Red D-hide Body
(U) Red D-hide Body
Slayer Leather Body (Elite)
AoD.png Unholy Body (m)
AoD.png (B) Red D-hide Chaps
(U) Red D-hide Chaps
AoD.png (B) Red D-hide Vambraces
(U) Red D-hide Vambraces
(U) Red D-hide Shield
5% AoD.png (B) Black D-hide Body
(U) Black D-hide Body
AoD.png Cursed Body (m)
AoD.png (B) Black D-hide Chaps
(U) Black D-hide Chaps
AoD.png (B) Black D-hide Vambraces
(U) Black D-hide Vambraces
AoD.png Unholy Ranged Gloves (m)
(U) Black D-hide Shield
6% Slayer Cowl (Master) AoD.png (B) Ancient D-hide Body
(U) Ancient D-hide Body
Slayer Leather Body (Master)
AoD.png (B) Ancient D-hide Chaps
(U) Ancient D-hide Chaps
AoD.png (B) Ancient D-hide Vambraces
(U) Ancient D-hide Vambraces
(U) Ancient D-hide Shield
8% Aeris God Helmet
AoD.png Aeris God Helmet (B)
AoD.png Aeris God Helmet (C)
Aeris God Platebody
AoD.png Aeris God Platebody (B)
AoD.png Aeris God Platebody (C)
Aeris God Platelegs
AoD.png Aeris God Platelegs (B)
AoD.png Aeris God Platelegs (C)
Aeris God Boots
AoD.png Aeris God Boots (B)
AoD.png Aeris God Boots (C)
Aeris God Gloves
Poison Virulence Gloves
AoD.png Engulfing Vortex Longbow
TotH.svg Thorned Power Bow
Scaled Shield
9% TotH.svg (U) Elderwood Body TotH.svg (U) Elderwood Chaps TotH.svg (U) Elderwood Vambraces Shield of Ranged Power
10% TotH.svg Slayer Cowl (Legendary) TotH.svg (U) Revenant Body
TotH.svg Slayer Leather Body (Legendary)
TotH.svg (U) Revenant Chaps TotH.svg (U) Revenant Vambraces TotH.svg (U) Elderwood Shield
11% TotH.svg (U) Carrion Body TotH.svg (U) Carrion Chaps TotH.svg (U) Carrion Vambraces TotH.svg Ethereal Longbow TotH.svg (U) Revenant Shield
12% TotH.svg Slayer Cowl (Mythical) TotH.svg Bundled Protection Body
TotH.svg Slayer Leather Body (Mythical)
TotH.svg Perfect Sight Legs TotH.svg (U) Carrion Shield
13% TotH.svg Mask of Torment
14% TotH.svg Vorloran Watcher Helmet TotH.svg Vorloran Watcher Platebody TotH.svg Vorloran Watcher Platelegs TotH.svg Vorloran Watcher Boots TotH.svg Vorloran Watcher Gauntlets

Mage Damage Reduction Equipment

DR% Helmet Platebody Platelegs Boots Gloves Weapon Shield
1% Green Wizard Hat Green Wizard Robes
Slayer Wizard Robes (Basic)
Green Wizard Bottoms Green Wizard Boots
2% Blue Wizard Hat
Miolite Helmet
Slayer Wizard Hat (Basic)
Slayer Wizard Hat (Strong)
Blue Wizard Robes
AoD.png Cult Robes
Miolite Platebody
Slayer Wizard Robes (Strong)
Blue Wizard Bottoms
Miolite Platelegs
Blue Wizard Boots
Miolite Boots
AoD.png Cursed Staff (m)
AoD.png Unholy Staff (m)
Miolite Shield
3% AoD.png Mask of Confusion
AoD.png Mask of Weakening
Red Wizard Hat
Red Wizard Robes Red Wizard Bottoms Red Wizard Boots
4% AoD.png (B) Air Adept Wizard Hat
AoD.png (B) Earth Adept Wizard Hat
AoD.png (B) Fire Adept Wizard Hat
AoD.png (B) Water Adept Wizard Hat
Air Adept Wizard Hat
Black Wizard Hat
Earth Adept Wizard Hat
Fire Adept Wizard Hat
Slayer Wizard Hat (Elite)
Water Adept Wizard Hat
AoD.png (B) Air Adept Wizard Robes
AoD.png (B) Earth Adept Wizard Robes
AoD.png (B) Fire Adept Wizard Robes
AoD.png (B) Water Adept Wizard Robes
Air Adept Wizard Robes
Black Wizard Robes
Earth Adept Wizard Robes
Fire Adept Wizard Robes
Slayer Wizard Robes (Elite)
AoD.png Unholy Wizard Robes (m)
Water Adept Wizard Robes
AoD.png (B) Air Adept Wizard Bottoms
AoD.png (B) Earth Adept Wizard Bottoms
AoD.png (B) Fire Adept Wizard Bottoms
AoD.png (B) Water Adept Wizard Bottoms
Air Adept Wizard Bottoms
Black Wizard Bottoms
Earth Adept Wizard Bottoms
Fire Adept Wizard Bottoms
Water Adept Wizard Bottoms
Air Adept Wizard Boots
Black Wizard Boots
Earth Adept Wizard Boots
Fire Adept Wizard Boots
Water Adept Wizard Boots
AoD.png Blessed Shield
5% AoD.png (B) Air Expert Wizard Hat
AoD.png (B) Ancient Wizard Hat
AoD.png (B) Earth Expert Wizard Hat
AoD.png (B) Fire Expert Wizard Hat
AoD.png (B) Water Expert Wizard Hat
Air Expert Wizard Hat
Ancient Wizard Hat
Earth Expert Wizard Hat
Fire Expert Wizard Hat
Water Expert Wizard Hat
AoD.png (B) Air Expert Wizard Robes
AoD.png (B) Ancient Wizard Robes
AoD.png (B) Earth Expert Wizard Robes
AoD.png (B) Fire Expert Wizard Robes
AoD.png (B) Water Expert Wizard Robes
Air Expert Wizard Robes
Ancient Wizard Robes
AoD.png Cursed Wizard Robes (m)
Earth Expert Wizard Robes
Fire Expert Wizard Robes
Water Expert Wizard Robes
AoD.png (B) Air Expert Wizard Bottoms
AoD.png (B) Ancient Wizard Bottoms
AoD.png (B) Earth Expert Wizard Bottoms
AoD.png (B) Fire Expert Wizard Bottoms
AoD.png (B) Water Expert Wizard Bottoms
Air Expert Wizard Bottoms
Ancient Wizard Bottoms
Earth Expert Wizard Bottoms
Fire Expert Wizard Bottoms
Water Expert Wizard Bottoms
Air Expert Wizard Boots
Ancient Wizard Boots
Earth Expert Wizard Boots
Fire Expert Wizard Boots
Water Expert Wizard Boots
AoD.png Unholy Magic Gloves (m)
6% Slayer Wizard Hat (Master) Slayer Wizard Robes (Master)
7% AoD.png Magicburn Shield
8% Glacia God Helmet
AoD.png Glacia God Helmet (B)
AoD.png Glacia God Helmet (C)
AoD.png Underwater Helmet
Glacia God Platebody
AoD.png Glacia God Platebody (B)
AoD.png Glacia God Platebody (C)
Glacia God Platelegs
AoD.png Glacia God Platelegs (B)
AoD.png Glacia God Platelegs (C)
Glacia God Boots
AoD.png Glacia God Boots (B)
AoD.png Glacia God Boots (C)
Burning Madness Gloves
Glacia God Gloves
TotH.svg Lightning Coil 2H Staff
AoD.png Water Pulse Staff
AoD.png Malevolent Ward Shield
AoD.png Water Shield
9% TotH.svg Infernal Master Wizard Hat
TotH.svg Lightning Master Wizard Hat
TotH.svg Poison Master Wizard Hat
TotH.svg Infernal Master Wizard Robes
TotH.svg Lightning Master Wizard Robes
TotH.svg Poison Master Wizard Robes
TotH.svg Infernal Master Wizard Bottoms
TotH.svg Lightning Master Wizard Bottoms
TotH.svg Poison Master Wizard Bottoms
TotH.svg Infernal Master Wizard Boots
TotH.svg Lightning Master Wizard Boots
TotH.svg Poison Master Wizard Boots
Shield of Magic Power
10% TotH.svg Infernal Legendary Wizard Hat
TotH.svg Lightning Legendary Wizard Hat
TotH.svg Poison Legendary Wizard Hat
TotH.svg Slayer Wizard Hat (Legendary)
TotH.svg Infernal Legendary Wizard Robes
TotH.svg Lightning Legendary Wizard Robes
TotH.svg Poison Legendary Wizard Robes
TotH.svg Slayer Wizard Robes (Legendary)
TotH.svg Infernal Legendary Wizard Bottoms
TotH.svg Lightning Legendary Wizard Bottoms
TotH.svg Poison Legendary Wizard Bottoms
TotH.svg Infernal Legendary Wizard Boots
TotH.svg Lightning Legendary Wizard Boots
TotH.svg Poison Legendary Wizard Boots
11% TotH.svg Infernal Mythical Wizard Hat
TotH.svg Lightning Mythical Wizard Hat
TotH.svg Poison Mythical Wizard Hat
TotH.svg Infernal Mythical Wizard Robes
TotH.svg Lightning Mythical Wizard Robes
TotH.svg Poison Mythical Wizard Robes
TotH.svg Infernal Mythical Wizard Bottoms
TotH.svg Lightning Mythical Wizard Bottoms
TotH.svg Poison Mythical Wizard Bottoms
TotH.svg Infernal Mythical Wizard Boots
TotH.svg Lightning Boots
TotH.svg Lightning Mythical Wizard Boots
TotH.svg Poison Mythical Wizard Boots
TotH.svg Ethereal Staff
12% TotH.svg Lightning Aura Helmet
TotH.svg Slayer Wizard Hat (Mythical)
TotH.svg Freezing Touch Body
TotH.svg Slayer Wizard Robes (Mythical)
TotH.svg Frost Walker Boots
TotH.svg Frostspark Boots
13% TotH.svg Mask of Despair
14% TotH.svg Vorloran Devastator Helmet TotH.svg Vorloran Devastator Platebody TotH.svg Vorloran Devastator Platelegs TotH.svg Vorloran Devastator Boots TotH.svg Vorloran Devastator Gauntlets

Other Damage Reduction Equipment

DR% Helmet Platelegs Gloves Shield Cape Amulet Ring
1% Green Party Hat
Purple Party Hat
Red Party Hat
Yellow Party Hat
AoD.png Barrier Sapping Gloves Knight's Cape
AoD.png Poison Cape
Christmas Wreath
Elite Amulet of Ranged
AoD.png Unholy Amulet (m)
AoD.png Cursed Ring (m)
Silver Diamond Ring
AoD.png Silver Magic Band
AoD.png Unholy Ring (m)
2% Santa Hat Gold Crested Shield
Training Shield
Fire Cape AoD.png Cursed Amulet (m)
Elite Amulet of Defence
Elite Amulet of Magic
AoD.png Shell Amulet
Guardian Ring
Spiked Shell Ring
3% AoD.png Circlet of Pain
AoD.png Golden Wreath
AoD.png Barrier Draining Gloves
AoD.png Biting Gloves
Absorbing Shield TotH.svg Bleed Burner Cape
AoD.png Golden Fire Cape
TotH.svg Weakness Exploiter Cape
TotH.svg Allure Amulet
Fury of the Elemental Zodiacs
4% Infernal Cape
5% AoD.png Helmet of Spite (m)
AoD.png Water Crown
TotH.svg Thieving Shorts AoD.png Shield of Martyr (m) AoD.png Ancient Infernal Cape
Cape of Completion
AoD.png Cape of Completion (Atlas of Discovery)
6% AoD.png Mage Mask
9% AoD.png Eradicating Gloves (m)
10% TotH.svg Hood of Shade Summon TotH.svg Gloves of Greater Shade Summon TotH.svg Superior Cape of Completion