Damage Reduction

Revision as of 23:35, 10 March 2023 by Auron956 (talk | contribs) (→‎Mechanics: Provider greater clarify on calculation and application of in-combat damage reduction %)

- Main article: Combat

This page was last updated for (v1.1.1).

Damage Reduction 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.

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

Melee Damage Reduction Equipment

DR% Helmet Platebody Platelegs Boots Gloves Weapon Shield
1%     (B) Steel Helmet
  (G) Steel Helmet
    (S) Crystal Helmet
    Crystal Helmet
  Slayer Helmet (Basic)
    (B) Steel Platebody
  (G) Steel Platebody
    (S) Crystal Platebody
    Crystal Platebody
  Slayer Platebody (Basic)
    (B) Steel Platelegs
  (G) Steel Platelegs
    (S) Crystal Platelegs
    Crystal Platelegs
  (G) Steel Boots
    (S) Crystal Boots
    Crystal Boots
    Crystal Gloves   (G) Steel Shield
    (S) Crystal Shield
    Crystal Defender
    Crystal Shield
2%     (B) Black Helmet
  (G) Black Helmet
  Miolite Helmet
  Slayer Helmet (Strong)
    (B) Black Platebody
  (G) Black Platebody
  Miolite Platebody
  Slayer Platebody (Strong)
    (B) Black Platelegs
  (G) Black Platelegs
  Miolite Platelegs
  (G) Black Boots
    Heavy Boots
  Miolite Boots
  Desert Wrappings     Cursed 2H Sword (m)
    Unholy 2H Sword (m)
  (G) Black Shield
  Miolite Shield
3%     (B) Mithril Helmet
    (C) Mithril Helmet
    (G) Crystal Helmet
  (G) Mithril Helmet
  Ice Helmet
    (B) Mithril Platebody
    (C) Mithril Platebody
    (G) Crystal Platebody
  (G) Mithril Platebody
  Ice Platebody
    (B) Mithril Platelegs
    (C) Mithril Platelegs
    (G) Crystal Platelegs
  (G) Mithril Platelegs
  Ice Platelegs
    (G) Crystal Boots
  (G) Mithril Boots
    Elusive Boots
  Ice Boots
    Crystal 2H Hammer
    Crystal Twin Blades
    (G) Crystal Shield
  (G) Mithril Shield
  Ice Shield
    Pure Crystal Defender
4%     (B) Adamant Helmet
    (C) Adamant Helmet
  (G) Adamant Helmet
    (I) Corundum Helmet
  Slayer Helmet (Elite)
    (B) Adamant Platebody
    (C) Adamant Platebody
  (G) Adamant Platebody
    (I) Corundum Platebody
    Aranite Platebody
  Slayer Platebody (Elite)
    Unholy Platebody (m)
    (B) Adamant Platelegs
    (C) Adamant Platelegs
  (G) Adamant Platelegs
    (I) Corundum Platelegs
  (G) Adamant Boots
    (I) Corundum Boots
  Paladin Gloves   (G) Adamant Shield
    Aranite Shield
5%     (B) Rune Helmet
    (C) Rune Helmet
  (G) Rune Helmet
    (I) Augite Helmet
    (S) Pure Crystal Helmet
    Pure Crystal Helmet
    (B) Rune Platebody
    (C) Rune Platebody
  (G) Rune Platebody
    (I) Augite Platebody
    (S) Pure Crystal Platebody
    Cursed Platebody (m)
    Pure Crystal Platebody
    (B) Rune Platelegs
    (C) Rune Platelegs
  (G) Rune Platelegs
    (I) Augite Platelegs
    (S) Pure Crystal Platelegs
    Pure Crystal Platelegs
  (G) Rune Boots
    (I) Augite Boots
    (S) Pure Crystal Boots
    Pure Crystal Boots
    Pure Crystal Gloves
    Unholy Melee Gloves (m)
    Pure Crystal 2H Axe
    Pure Crystal 2H Spear
  (G) Rune Shield
    (S) Pure Crystal Shield
    Pure Crystal Shield
6%     (B) Dragon Helmet
    (C) Dragon Helmet
  (G) Dragon Helmet
    (G) Pure Crystal Helmet
    (I) Divine Helmet
  Slayer Helmet (Master)
    (B) Dragon Platebody
    (C) Dragon Platebody
  (G) Dragon Platebody
    (G) Pure Crystal Platebody
    (I) Divine Platebody
  Slayer Platebody (Master)
    (B) Dragon Platelegs
    (C) Dragon Platelegs
  (G) Dragon Platelegs
    (G) Pure Crystal Platelegs
    (I) Divine Platelegs
  (G) Dragon Boots
    (G) Pure Crystal Boots
    (I) Divine Boots
  (G) Dragon Shield
    (G) Pure Crystal Shield
    (I) Corundum Shield
    Consuming Shield (m)
  Recoil Shield
7%     (B) Ancient Helmet
    (C) Ancient Helmet
  (G) Ancient Helmet
  Ragnar God Helmet
    Ragnar God Helmet (B)
    Ragnar God Helmet (C)
    (B) Ancient Platebody
    (C) Ancient Platebody
  (G) Ancient Platebody
  Ragnar God Platebody
    Ragnar God Platebody (B)
    Ragnar God Platebody (C)
    (B) Ancient Platelegs
    (C) Ancient Platelegs
  (G) Ancient Platelegs
  Ragnar God Platelegs
    Ragnar God Platelegs (B)
    Ragnar God Platelegs (C)
  Ragnar God Boots
    Ragnar God Boots (B)
    Ragnar God Boots (C)
  Ragnar God Gloves
  Relentless Fury Gloves
  (G) Ancient Shield
    (I) Augite Shield
    (I) Divine Shield
    Darksteel Shield
8%   Terran God Helmet
    Terran God Helmet (B)
    Terran God Helmet (C)
  Terran God Platebody
    Terran God Platebody (B)
    Terran God Platebody (C)
  Terran God Platelegs
    Terran God Platelegs (B)
    Terran God Platelegs (C)
  Terran God Boots
    Terran God Boots (B)
    Terran God Boots (C)
  Spiked Shell Gloves
  Terran God Gloves
    Hasty Trident
    Heated Fury 2H Hammer
  Terran Godsword
  Ultima Godsword
  Dragonfire Shield
9%     (P) Corundum Helmet     (P) Corundum Platebody     (P) Corundum Platelegs     (P) Corundum Boots   Shield of Melee Power
10%     (P) Augite Helmet
    Slayer Helmet (Legendary)
    (P) Augite Platebody
    Slayer Platebody (Legendary)
    (P) Augite Platelegs     (P) Augite Boots     Royal Toxins Spear
11%     Meteorite Helmet     Meteorite Platebody     Meteorite Platelegs     Ethereal Greataxe
12%     (P) Divine Helmet
    Blazing Helmet
    Slayer Helmet (Mythical)
    (P) Divine Platebody
    Slayer Platebody (Mythical)
    Ward of Flame Platebody
    (P) Divine Platelegs
    Burning Protection Platelegs
    (P) Divine Boots     Devouring Barrier Shield
  Earth Layered Shield
13%     Mask of Madness     (P) Corundum Shield
    Leviathan Shield
    Relic Shield
14%     Vorloran Protector Helmet     Vorloran Protector Platebody     Vorloran Protector Platelegs     Vorloran Protector Boots     Vorloran Protector Gauntlets     (P) Augite Shield
16%     (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)     (B) Green D-hide Body
  (U) Green D-hide Body
  Slayer Leather Body (Strong)
    (B) Green D-hide Chaps
  (U) Green D-hide Chaps
    (B) Green D-hide Vambraces
  (U) Green D-hide Vambraces
    Cursed Longbow (m)
    Unholy Longbow (m)
  (U) Green D-hide Shield
3%   Ice Helmet     (B) Blue D-hide Body
  (U) Blue D-hide Body
  Ice Platebody
    (B) Blue D-hide Chaps
  (U) Blue D-hide Chaps
  Ice Platelegs
    Elusive Boots
  Ice Boots
    (B) Blue D-hide Vambraces
  (U) Blue D-hide Vambraces
  (U) Blue D-hide Shield
  Ice Shield
4%   Slayer Cowl (Elite)     (B) Red D-hide Body
  (U) Red D-hide Body
  Slayer Leather Body (Elite)
    Unholy Body (m)
    (B) Red D-hide Chaps
  (U) Red D-hide Chaps
    (B) Red D-hide Vambraces
  (U) Red D-hide Vambraces
  (U) Red D-hide Shield
5%     (B) Black D-hide Body
  (U) Black D-hide Body
    Cursed Body (m)
    (B) Black D-hide Chaps
  (U) Black D-hide Chaps
    (B) Black D-hide Vambraces
  (U) Black D-hide Vambraces
    Unholy Ranged Gloves (m)
  (U) Black D-hide Shield
6%   Slayer Cowl (Master)     (B) Ancient D-hide Body
  (U) Ancient D-hide Body
  Slayer Leather Body (Master)
    (B) Ancient D-hide Chaps
  (U) Ancient D-hide Chaps
    (B) Ancient D-hide Vambraces
  (U) Ancient D-hide Vambraces
  (U) Ancient D-hide Shield
8%   Aeris God Helmet
    Aeris God Helmet (B)
    Aeris God Helmet (C)
  Aeris God Platebody
    Aeris God Platebody (B)
    Aeris God Platebody (C)
  Aeris God Platelegs
    Aeris God Platelegs (B)
    Aeris God Platelegs (C)
  Aeris God Boots
    Aeris God Boots (B)
    Aeris God Boots (C)
  Aeris God Gloves
  Poison Virulence Gloves
    Engulfing Vortex Longbow
    Thorned Power Bow
  Scaled Shield
9%     (U) Elderwood Body     (U) Elderwood Chaps     (U) Elderwood Vambraces   Shield of Ranged Power
10%     Slayer Cowl (Legendary)     (U) Revenant Body
    Slayer Leather Body (Legendary)
    (U) Revenant Chaps     (U) Revenant Vambraces     (U) Elderwood Shield
11%     (U) Carrion Body     (U) Carrion Chaps     (U) Carrion Vambraces     Ethereal Longbow     (U) Revenant Shield
12%     Slayer Cowl (Mythical)     Bundled Protection Body
    Slayer Leather Body (Mythical)
    Perfect Sight Legs     (U) Carrion Shield
13%     Mask of Torment
14%     Vorloran Watcher Helmet     Vorloran Watcher Platebody     Vorloran Watcher Platelegs     Vorloran Watcher Boots     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
    Cult Robes
  Miolite Platebody
  Slayer Wizard Robes (Strong)
  Blue Wizard Bottoms
  Miolite Platelegs
  Blue Wizard Boots
  Miolite Boots
    Cursed Staff (m)
    Unholy Staff (m)
  Miolite Shield
3%     Mask of Confusion
    Mask of Weakening
  Red Wizard Hat
  Red Wizard Robes   Red Wizard Bottoms   Red Wizard Boots
4%     (B) Air Adept Wizard Hat
    (B) Earth Adept Wizard Hat
    (B) Fire Adept Wizard Hat
    (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
    (B) Air Adept Wizard Robes
    (B) Earth Adept Wizard Robes
    (B) Fire Adept Wizard Robes
    (B) Water Adept Wizard Robes
  Air Adept Wizard Robes
  Black Wizard Robes
  Earth Adept Wizard Robes
  Fire Adept Wizard Robes
  Slayer Wizard Robes (Elite)
    Unholy Wizard Robes (m)
  Water Adept Wizard Robes
    (B) Air Adept Wizard Bottoms
    (B) Earth Adept Wizard Bottoms
    (B) Fire Adept Wizard Bottoms
    (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
    Blessed Shield
5%     (B) Air Expert Wizard Hat
    (B) Ancient Wizard Hat
    (B) Earth Expert Wizard Hat
    (B) Fire Expert Wizard Hat
    (B) Water Expert Wizard Hat
  Air Expert Wizard Hat
  Ancient Wizard Hat
  Earth Expert Wizard Hat
  Fire Expert Wizard Hat
  Water Expert Wizard Hat
    (B) Air Expert Wizard Robes
    (B) Ancient Wizard Robes
    (B) Earth Expert Wizard Robes
    (B) Fire Expert Wizard Robes
    (B) Water Expert Wizard Robes
  Air Expert Wizard Robes
  Ancient Wizard Robes
    Cursed Wizard Robes (m)
  Earth Expert Wizard Robes
  Fire Expert Wizard Robes
  Water Expert Wizard Robes
    (B) Air Expert Wizard Bottoms
    (B) Ancient Wizard Bottoms
    (B) Earth Expert Wizard Bottoms
    (B) Fire Expert Wizard Bottoms
    (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
    Unholy Magic Gloves (m)
6%   Slayer Wizard Hat (Master)   Slayer Wizard Robes (Master)
7%     Magicburn Shield
8%   Glacia God Helmet
    Glacia God Helmet (B)
    Glacia God Helmet (C)
    Underwater Helmet
  Glacia God Platebody
    Glacia God Platebody (B)
    Glacia God Platebody (C)
  Glacia God Platelegs
    Glacia God Platelegs (B)
    Glacia God Platelegs (C)
  Glacia God Boots
    Glacia God Boots (B)
    Glacia God Boots (C)
  Burning Madness Gloves
  Glacia God Gloves
    Lightning Coil 2H Staff
    Water Pulse Staff
    Malevolent Ward Shield
    Water Shield
9%     Infernal Master Wizard Hat
    Lightning Master Wizard Hat
    Poison Master Wizard Hat
    Infernal Master Wizard Robes
    Lightning Master Wizard Robes
    Poison Master Wizard Robes
    Infernal Master Wizard Bottoms
    Lightning Master Wizard Bottoms
    Poison Master Wizard Bottoms
    Infernal Master Wizard Boots
    Lightning Master Wizard Boots
    Poison Master Wizard Boots
  Shield of Magic Power
10%     Infernal Legendary Wizard Hat
    Lightning Legendary Wizard Hat
    Poison Legendary Wizard Hat
    Slayer Wizard Hat (Legendary)
    Infernal Legendary Wizard Robes
    Lightning Legendary Wizard Robes
    Poison Legendary Wizard Robes
    Slayer Wizard Robes (Legendary)
    Infernal Legendary Wizard Bottoms
    Lightning Legendary Wizard Bottoms
    Poison Legendary Wizard Bottoms
    Infernal Legendary Wizard Boots
    Lightning Legendary Wizard Boots
    Poison Legendary Wizard Boots
11%     Infernal Mythical Wizard Hat
    Lightning Mythical Wizard Hat
    Poison Mythical Wizard Hat
    Infernal Mythical Wizard Robes
    Lightning Mythical Wizard Robes
    Poison Mythical Wizard Robes
    Infernal Mythical Wizard Bottoms
    Lightning Mythical Wizard Bottoms
    Poison Mythical Wizard Bottoms
    Infernal Mythical Wizard Boots
    Lightning Boots
    Lightning Mythical Wizard Boots
    Poison Mythical Wizard Boots
    Ethereal Staff
12%     Lightning Aura Helmet
    Slayer Wizard Hat (Mythical)
    Freezing Touch Body
    Slayer Wizard Robes (Mythical)
    Frost Walker Boots
    Frostspark Boots
13%     Mask of Despair
14%     Vorloran Devastator Helmet     Vorloran Devastator Platebody     Vorloran Devastator Platelegs     Vorloran Devastator Boots     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
    Barrier Sapping Gloves   Knight's Cape
    Poison Cape
  Christmas Wreath
  Elite Amulet of Ranged
    Unholy Amulet (m)
    Cursed Ring (m)
  Silver Diamond Ring
    Silver Magic Band
    Unholy Ring (m)
2%   Santa Hat   Gold Crested Shield
  Training Shield
  Fire Cape     Cursed Amulet (m)
  Elite Amulet of Defence
  Elite Amulet of Magic
    Shell Amulet
  Guardian Ring
  Spiked Shell Ring
3%     Circlet of Pain
    Golden Wreath
    Barrier Draining Gloves
    Biting Gloves
  Absorbing Shield     Bleed Burner Cape
    Golden Fire Cape
  Skull Cape
    Weakness Exploiter Cape
    Allure Amulet
  Fury of the Elemental Zodiacs
4%   Infernal Cape
5%     Helmet of Spite (m)
    Water Crown
    Thieving Shorts     Shield of Martyr (m)     Ancient Infernal Cape
  Cape of Completion
    Cape of Completion (Atlas of Discovery)
6%     Mage Mask
9%     Eradicating Gloves (m)
10%     Hood of Shade Summon     Gloves of Greater Shade Summon     Superior Cape of Completion