Damage reduction

Damage reduction is a hidden player statistic that decreases damage taken. All boosts (except Warmth Potion) affect damage taken after defense.

Boosts

Buffs

Buff	Damage reduction bonus
Solar Blaze(Desktop, Console and Mobile versions)	20%
Beetle Endurance	15% / 30% / 45%
Paladin's Shield	25% (only active when the wearer is above 25% health)
Endurance	10%
Ice Barrier	(Desktop, Console and Mobile versions) 25% (when below 50% health)
Warmth(Desktop, Console, Old-gen console and Mobile versions)	30% (reduces damage only from cold-themed enemies)

Items

Item	Damage reduction bonus
Chlorophyte armor(with Mask)	(Desktop, Console and Mobile versions) 5%
Turtle armor	15%
Solar Flare armor(Desktop, Console and Mobile versions)	12%
Worm Scarf(Desktop, Console and Mobile versions)	17%

Notes

• The Solar Blaze, Beetle Endurance, Warmth, and Paladin's Shield buffs calculate damage multiplicative with each other, while the other effects calculate additive. So firstly the raw damage is decreased by the banner's effect (25% / 50% reduction) and Warmth Potion (30% reduction from cold sources), then the remaining damage is reduced by defense (50% / 75% / 100%), the remaining damage is then reduced by all additive damage reduction, then by Beetle and Solar Flare armor's buff, and finally by Paladin's Shield. (Also, each step will round down the damage value, but the value cannot be less than 1.)
  • For example, in a Master(Desktop, Console and Mobile versions) world, a cold-themed enemy somehow will deal 2000 damage to a player, the player wears a full set of Solar Flare armor (with its buff), a Worm Scarf, a Frozen Turtle Shell (with its buff on), with buff of Endurance, Warmth, a banner of that enemy, a teammate with Paladin's Shield and 140 defense.
    1. The banner reduces the damage by half to 1000.
    2. The Warmth buff reduces it by 30% to 700.
    3. The defense reduces it by 140 to 560.
    4. The Worm Scarf (17%), Endurance (10%), Solar Flare armor (12%) and Frozen Turtle Shell (25%) reduce damage additively, so they reduce it by 64% to 201.6, rounded down to 201.
    5. Solar Flare armor's buff reduces it by 20% to 160.8, rounded down to 160.
    6. A teammate's Paladin's Shield reduces it by 25%, so the player will take 120 damage.
    7. The teammate will take 40 damage, and it will be further reduced by that player's status (banner and Warmth will not take effect, though).

Maximum damage reduction

The highest damage reduction possible is 73.6% (or 81.52% against cold-themed enemies), using the following setup:

 Desktop version,  Console version, and  Mobile version

• Armor (multiplicative)
  • Beetle armor with shell – 45% reduction
  • Warmth Potion – 30% reduction against cold-themed enemies
• Accessories and potions (additive)
  • Frozen Turtle Shell – 25% reduction
  • Worm Scarf – 17% reduction
  • Endurance Potion – 10% reduction
  • If Paladin's Shield buff is on, it can reduce additional 25% damage after defense.

Therefore, the maximum damage reduction is: [math]\displaystyle{ (1 - 0.45) * (1 - (0.25 + 0.17 + 0.1)) = 0.264 = 26.4% \text{ damage taken} = 73.6% }[/math]

The maximum damage reduction against cold-themed enemies is: [math]\displaystyle{ (1 - 0.45) * (1 - 0.3) * (1 - (0.25 + 0.17 + 0.1)) = 0.1848 = 18.48% \text{ damage taken} = 81.52% }[/math] (note that the Warmth Potion is calculated before defense).

 Old-gen console version

• Armor (multiplicative)
  • Beetle armor with shell – 45% reduction
• Accessories and potions (additive)
  • Endurance Potion – 10% reduction
  • Warmth Potion – 30% reduction against cold-themed enemies
  • This does not include the Paladin's Shield buff, since its damage reduction occurs before defense, and all others occur after defense.

Therefore, the maximum damage reduction is: [math]\displaystyle{ (1 - 0.45) * (1 - 0.1) = 0.495 = 49.5% \text{ damage taken} = 50.5% }[/math]

The maximum damage reduction against cold-themed enemies is: [math]\displaystyle{ (1 - 0.45) * (1 - (0.1 + 0.3)) = 0.33 = 33% \text{ damage taken} = 66% }[/math]

Nintendo 3DS version

• Armor (multiplicative)
  • Beetle armor with shell – 45% reduction
• Accessories and Potions (additive)
  • Endurance Potion – 10% reduction
  • This does not include the Paladin's Shield buff, since its damage reduction occurs before defense, and all others occur after defense.

Therefore, the maximum damage reduction is: [math]\displaystyle{ (1 - 0.45) * (1 - 0.1) = 0.495 = 49.5% \text{ damage taken} = 50.5% }[/math]