Arts damage

Damage
Physical	Arts	Elemental	True

This article is about the damage type. For the lore information, see Arts.

Arts damage is reduced by RES, which reduces the damage at a percentage-based rate (e.g. 10 RES = -10% Arts damage taken), and is calculated using the following formula:

$f = [atk \times \Biggl( 1 - \frac {(r - i_f) \times (1 - i_s)}{100} \ \Biggr)] \times (amp \times red)$

$r = [(res + mod_1) \times (1 + b) - mod_2] \times (1 - mod_3)$

Where:

• $f$ represents the final Arts damage.
• $atk$ represents ATK once all ATK buffs and multipliers are applied.
• $i_f$ represents flat RES Ignore.
• $i_s$ represents scaling RES Ignore.
• $r$ represents RES once all buffs and debuffs are applied.
• $res$ represents RES once all stage buffs and multipliers are applied.
• $mod_1$ represents the sum of flat RES increase.
• $b$ represents the sum of all scaling RES Buffs.
• $mod_2$ represents the sum of flat RES decrease.
• $mod_3$ represents the product of all scaling RES Debuffs.
• $amp$ represents the sum of all Arts damage amplifications.
• $red$ represents the sum of all Arts damage reductions.
• The minimum value of $f$ is 5% of $atk$.
• The minimum value of $res$ is 0.

For example, the damage dealt by Eyjafjalla with Ignition who are being buffed by Sora's Hymn of Battle and Warfarin's Unstable Plasma against a Level 1 FrostNova who is being debuffed by Pramanix's Natural Deterrent and Ifrit's Scorched Earth while her HP is below 40% (thus making her subject to the former's talent Weakening) would be calculated by the following method with the following assumptions:

• The base damage is 4776, because:
  • Eyjafjalla is at Elite 2 Level 45 and with 100% Trust (with an ATK of 679), and her Ignition is at Level 7 (thus multiplying her ATK by 310%).
  • Since Eyjafjalla is a Caster, her first talent Pyrobreath buffs her ATK by 14%.
  • Warfarin's Unstable Plasma is at Level 7 (which buffs ATK by 60%).
  • Sora is at Elite 2 Level 40 and 100% Trust (with an ATK of 356), and her Hymn of Battle is at Mastery 3 (thus it adds 100% of Sora's ATK).
• Pramanix is at Elite 2 (thus her Weakening applies a 30% damage amplification) with her Natural Deterrent at Mastery 3 (thus it applies a 30% scaling RES debuff).
• Ifrit is at Elite 2 (thus her Spiritual Dissolution applies a 40% scaling RES debuff) with her Scorched Earth at Mastery 3 (thus it applies a 20 flat RES debuff).
• To simplify the calculations, all percentages are converted into decimals.

$\begin{align} a = 4776 \times \Biggl[ 1 - \frac {(50 - 20) \times (1 - 0.7)}{100} \ \Biggr] \times 1.3 \\[2ex] a = 4776 \times \Biggl[ 1 - \frac {30 \times 0.3}{100} \ \Biggr] \times 1.3 \\[2ex] a = 4776 \times \Biggl[ 1 - \frac {9}{100} \ \Biggr] \times 1.3 \\[2ex] a = 4776 \times [ 1 - 0.09 ] \times 1.3 \\[2ex] a = 4776 \times 0.91 \times 1.3 \\[2ex] a = 4346.16 \times 1.3 \\[2ex] a = 5650.008 \end{align}$

As the result, under the above conditions and assumptions, Eyjafjalla's Ignition will deal a whopping 5650 damage.