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2. Nov 07, 2007 Magic Attack Bonus I Black Mage 10 Red Mage 20 Blue Mage 32 Damage increases by 20%. Magic Attack Bonus II Black Mage 30 Red Mage 40 Damage increases by 24%. Magic Attack Bonus III Black Mage 50 Damage increases by 28%. Magic Attack Bonus IV Black Mage 70 Damage increases by 32%.

• 2Factors
  • 2.1D: INT-adjusted Base Damage
• 3Example Calculations

Magic Damage Equation

Damage Dealt = D × MTDR × Staff × Affinity × SDT × Resist × MB × MBB × Day & Weather × MAB/MDB × TMDA × Potency Multipliers

Damage Dealt is calculated by multiplying the following terms in order (see above). After each multiplication step, the product is floored to the next lowest integer before continuing to the next multiplier. Each term after D starts with a base of 1.0 and is increased or decreased by caster and target stats and attributes as well as other effects.

1. D: INT-adjusted base spell damage
2. MTDR: Multiple-Target Damage Reduction (for area of effect spells)
3. Staff: Elemental staff hidden damage bonus multiplier
4. Affinity: Elemental affinity damage bonus muliplier (from staff and/or atma/atmacite)
5. SDT: Species Damage Taken
6. Resist: Reduction of spell damage due to resist states.
7. MB: Magic Burst
8. MBB: Magic Burst Bonus
9. Day & Weather: Day and Weather multipliers, including Iridescence and equipment modifiers
10. MAB / MDB: Caster Magic Attack Bonus factor divided by target's Magic Defense Bonus factor
11. TMDA: Target Magic Damage Adjustment (Magic Damage Taken reduction)
12. Potency Multipliers: e.g. Ebullience, Klimaform Bonus, Goetia +2 Set Bonus, etc.

Factors

D: INT-adjusted Base Damage

Definition of Variables

• V: Every individual damage-dealing magic spell has a base damage value denoted as V.
• dINT: dINT represents the difference between caster and target INT: (Caster's INT - Target's INT).
• M: Every individual damage-dealing magic spell has several INT multiplier values denoted as M for different dINT ranges.
  • Note: For offensive white magic, substitute dMND for dINT (Caster's MND - Target's MND)
• mDMG: mDMG represents the 'Magic Damage' statistic obtained from equipped weapons and armor.
• D: INT and 'Magic Damage' adjusted base spell damage calculated from the terms above.

Calculating D

D = mDMG + V + (dINT × M)

• The calculation of D is a piecewise function with the multiplier M changing at the following INT levels:
  • dINT = 0 ~ 49
  • dINT = 50 ~ 99
  • dINT = 100 ~ 199
  • dINT > 200
• When determining D, the appropriate V and M values must be applied depending on the INT difference. For example, with dINT = 134, V₁₀₀ should be chosen for the base damage, and the M which corresponds to dINT = 100 ~ 199 should be chosen as the multiplier. When choosing a V value, reduce the dINT by the amount factored into the V value to come up with the correct result (for example, at 134 INT, when using V₁₀₀ in the calculation, use dINT = 134-100 = 34)

dINT = 134: D = mDMG + V₁₀₀ + (34 × M_100-199)

Notes:

• For dINT < 0, reduced M values apply. With a negative dINT, calculated value for D will be lower than V, potentially even 0.
• On tier 1 single target nukes, the damage increase from INT caps when dINT is 100, so additional INT beyond this level will not add additional damage. There are likely higher tier dINT caps (200 or higher) on higher tier nukes, but these are difficult to achieve against high level foes so they are not normally relevant. The values in the table below are determined for dINT up to at least 250.
• As shown by the multipliers below, the impact of INT on the adjusted base damage term is greatest for higher tier nukes, and for 'lower level' elements (highest impact on Stone spells, then Water spells, etc.).

MTDR: Multiple-Target Damage Reduction

• For single-target spells, MTDR = 1.0
• For Area of Effect spells with one target, MTDR = 1.0
• For Area of Effect spells with T targets, 2 ≤ T ≤ 10,

MTDR = 0.9 - 0.05T

• For Area of Effect spells with 10 or more targets. MTDR = 0.4
  • For their damage calculation, single target damaging spells made area of effect by Manifestationare affected by MTDR.

Staff

• For Chatoyant Staff or HQ Staff matching element (e.g. Vulcan's Staff and a fire-elemental spell), Staff = 1.15
• For Iridal Staff or NQ Staff matching element (e.g. Fire Staff and a fire-elemental spell), Staff = 1.1
• For NQ Staff of the ascendant or opposed element (e.g. Earth Staff and a lightning-elemental spell) Staff = 0.9
• For HQ Staff of the ascendant or opposed element (e.g. Terra's Staff and a lightning-elemental spell), Staff = 0.85
• For all other weapons, Staff = 1.0
  

Affinity

Affinity adds damage in a separate multiplier term. When affinity is present, it starts at a base of 5% ('Affinity +0'), with 5% additional for each affinity level. Affinity from equipment can only be gained from elemental staves created through Trial of the Magians.

• No affinity: Affinity = 1.0
• Damage affinity +1: Affinity = 1.1
• Damage affinity +2: Affinity = 1.15
• Damage affinity +3: Affinity = 1.20
• Damage affinity +4: Affinity = 1.25
• Damage affinity +5: Affinity = 1.30
• Damage affinity +6: Affinity = 1.35

Affinity in the form of element-specific attack power from Atma or Atmacite is additive with this term.

Specific Damage Taken

Also known as SDT, certain monster species will always take more or less damage from a particular element or elements. This is different than monsters being resistant or susceptible to an element which simply means they are more or less likely to resist. Reference individual monster or family pages (see Bestiary) for specific monster types. As an example, Sahagin have a SDT = 0.5 (128/256) for water elemental damage, meaning they take 50% less damage from water elemental spells prior to any resist reduction.

Note this is a different term than Target Magic Damage Adjustment (monster MDT), and applies only to certain elements.

Resist

There are four possible Resist states for spells which deal magical damage. The likelihood of increasing resist states is dependent on the caster's Magic Accuracy and the target's Magic Evasion (the combined influence of the two determines the caster's Magic Hit Rate).

• Unresisted: Resist = 1.0
• 1/2 Resist: Resist = 0.5
• 3/4 Resist: Resist = 0.25
• 7/8 Resist: Resist = 0.125

Note that for spells with multiple targets, the resist value for each target is determined independently.

Resist rates are independent of SDT. Any monster with a tier of 50% or lower will automatically give an additional penalty of 50% regardless of level or magic accuracy.

Consecutive Elemental Damage Penalty

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Also known as the 'Nuke Wall', there is a 60% penalty in identical elemental damage taken for 5 seconds after it is first dealt. This is a common issue during Magic Bursts, and guaranteed to happen with multiple casters.

• This only applies to Notorious Monsters.
• Rayke with a corresponding elemental rune will reduce this penalty to 30%.
  • This value is regardless of the number of runes.
• This penalty is separate from the SDT penalty to damage.
• The elemental damage from Skillchains is excluded from this.

Day & Weather

Day & Weather is calculated with a base of 1.0 and additional values added or subtracted depending on the current day of the week, weather, or certain equipment pieces (E.g. Elemental Obis).
Note that in most cases, the day or weather effect must 'proc' for the bonus to be received - this is a random occurrence when the day or weather matches the spell's element (bonus damage) or is ascendant/opposed to the spell's element (reduced damage). This proc may be forced via wearing an Elemental Obi.

• Base value: 1.0
• Day
  • Matching day and spell proc: +0.1
  • Ascendant/opposed day and spell proc: -0.1
  • Sorcerer's Tonban/+1 and matching day and spell: +0.05
  • Zodiac Ring and matching day and spell: +0.03
• Weather
  • Matching single weather and spell proc: +0.1
  • Matching double weather and spell proc: +0.25
  • Matching double weather and day spell proc: +0.35
  • Ascendant/opposed single weather and spell proc: -0.1
  • Ascendant/opposed double weather and spell proc: -0.25
  • Iridescence proc: +0.1
• Twilight Cape and matching weather or day and spell proc: +0.05

The Day & Weather factor cannot exceed 1.4.
Note: Elemental Obis and Helix spells force weather, day, and Iridescence procs.

MB: Magic Burst

The Magic Burst multiplier is dependent on the number weapon skills which resulted in the formation of the Skillchain which was magic bursted. This starts at a base of 1.25 for a two-stage Skillchain, with an additional 0.1 for every additional stage.

• Magic Burst:
  • No Magic Burst: MB = 1.0
  • 2-stage Skillchain: MB = 1.35
  • 3-stage Skillchain: MB = 1.45
  • X-stage Skillchain:

MB = 1.25 + (0.1 × X)

MBB: Magic Burst Bonus

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Magic Burst Bonus is calculated as:

MBB = 1.0 + Gear + Atma/Atmacite + AMII Merits + Trait

Ffxi Magic Dmg Count As Mab 1

• Gear: See Magic Burst for a table of gear related bonuses.
  • Example: With Sorcerer's Gloves +2 (+0.1) and Menhit Leggings (+0.04) equipped, Gear = 0.14
• Atma/Atmacite: See Atma or Atmacite for tables of atma/atmacite related bonuses.
  • Example: With Atma of Illusions equipped, Atma/Atmacite = 0.1
• AMII Merits: For Ancient Magic II, additional merits beyond the first yield a bonus on the MBB factor.
  • AMII Merits = 0.03 when a level 2 Ancient Magic II spell is used in a magic burst.
  • AMII Merits = 0.06 when a level 3 Ancient Magic II spell is used in a magic burst.
  • AMII Merits = 0.09 when a level 4 Ancient Magic II spell is used in a magic burst.
  • AMII Merits = 0.12 when a level 5 Ancient Magic II spell is used in a magic burst.
• Trait: See Magic Burst Bonus for trait levels. This trait varies from 0.05 to 0.13 depending on the trait level.
  • Example: A level 90 black mage would have Magic Burst Bonus IV, Trait = 0.11
• No Magic Burst: MBB = 1.0

The overall term caps at 1.4 prior to the addition of effects from the Magic Burst Bonus trait, for an absolute cap of 1.53 maximum at level 97 or higher BLM.

MAB/MDB: Magic Attack Bonus / Magic Defense Bonus

The MAB/MDB factor combines the effects of the caster's MAB and the target's MDB.

The caster MAB multiplier term is calculated as follows:

cMAB = 1 + (caster Magic Attack Bonus ÷ 100)

Example: A player with Magic Attack Bonus I trait (+20), and Moldavite Earring (+5) equipped, would have a MAB multiplier of 1 + 25/100 = 1.25

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Note: BLM job-specific element potency merits add +2 MAB for the matching element per merit.

The target MDB divisor term is calculated as follows:

tMDB = 1 + (target Magic Defense Bonus ÷ 100)

Example: An enemy with 50 Magic Defense Bonus would have a MDB divisor of 1 + 50/100 = 1.5

The MAB/MDB term is simply the caster MAB value divided by the target MDB value:

MAB/MDB = cMAB ÷ tMDB

Example: For a player with 75 Magic Attack Bonus casting magic against a target with 25 Magic Defense Bonus, MAB/MDB = 1.75/1.25 = 1.4

TMDA: Target Magic Damage Adjustment

Certain specific enemies or families of monsters have traits which cause them to take more or less magical damage on a percentage basis, generally referred to as the 'Magic Damage Taken' statistic. Values for Magic Damage Taken are determined as a fraction of 256.

The base value of TMDA is 1 (256/256) and this value is adjusted according to the fractional values for specific monster types or monster families, and other buffing effects the monster might have.

The effects of Shell Spells active on targets are included in the Magic Damage Taken term.

Several examples follow, reference individual monster or family pages within the Bestiary for monster-specific information:

• Flan-type monsters take +64/256 (+25%) magic damage, TMDA = 1.25
• Ghrah-type monsters take -32/256 (-12.5%) magic damage, TMDA = 0.875
• An Ahriman-type monster (-64/256) with Shell III active (-48/256) takes -112/256 (-43.75%) magic damage, TMDA = 0.5625

Potency Multipliers

Other potency multipliers are applied individually to the overall equation, with flooring after each multiplication step. Example multipliers include:

• Ebullience: 1.2 (SCH AF3 head: up to 1.3)
• Cumulative Magic bonus: 1.05 or higher
• Quick Draw bonus (COR AF3 feet): 1.1 or 1.2
• Klimaform bonus (SCH AF3 feet): 1.05 or 1.1
• Goetia +2 Set bonus: 2.0

Example Calculations

Example Calculation 1: Stone II

The following example is damage calculation for the spell Stone II.
Assumed caster statistics are:

• Magic Attack Bonus +150
• 'Magic Damage' = 195 (e.g. Atinian Staff)
• INT: 220
  

Assumed target statistics are:

• Magic Defense Bonus +0
• Magic Damage Taken -12.5%
• INT: 100
  

dINT = 220-100 = 120
The terms in order (ignoring terms which are 1.0 for this calculation):

1. D: 195 + 350 + (20 * 1) = 565
2. MAB/MDB: 150 caster MAB, 0 target MDB = (100+150)/(100+0) = 2.5 multiplier 565 * 2.5 = 1412 (floored)
3. TMDA: 12.5% target MDT = 0.875 multiplier 1412 * 0.875 = 1235 (floored)

Final damage: 1235 unresisted, with possible resisted damage of 617 (1/2), 308 (3/4), or 154 (7/8).

Example Calculation 2: Thundaja on multiple targets

The following example is damage calculation for the spell Thundaja cast on three targets.
Assumed caster statistics are:

• Magic Attack Bonus +100
• 'Magic Damage' = 0
• Lightning magic potency (BLM merits x5) = +10 MAB
• INT: 180
• Apamajas I (Lightning damage affinity +6)
• Thunder weather (single) + Rairin Obi to guarantee proc
  

Assumed target statistics are:

• Magic Defense Bonus +25
• Magic Damage Taken -0%
• INT: 100
  

dINT = 180-100 = 80
The terms in order (ignoring terms which are 1.0 for this calculation):

1. D: 0 + 1200 + (30 * 3.75) = 1312 (floored)
2. MTDR = 0.75 for three targets 1312 * 0.75 = 984 per target (floored)
3. Affinity: 1.35 for affinity +6 984 * 1.35 = 1328 per target (floored)
4. Day/Weather: Weather bonus proc, 1.1 1328 * 1.1 = 1460 per target (floored)
5. MAB/MDB: 110 caster MAB, 25 target MDB = (100+110)/(100+25) = 1.68 multiplier 1460 * 1.68 = 2452 per target (floored)

Final damage: 2452 per target unresisted, with possible resisted damage of 1226 (1/2), 613 (3/4), or 306 (7/8).

Example Calculation 3: Freeze II magic burst

The following example is damage calculation for the spell Freeze II magic bursted on one target after a 2-step skillchain.
Assumed caster statistics are:

• BLM Level 99 (Magic Burst Bonus +13% from job trait)
• Magic Burst Bonus gear (+10%)
• Magic Damage +191 (e.g. Atinian Staff)
• Magic Attack Bonus +125
• Ice magic potency (BLM merits x3) +6 MAB
• Fully merited Freeze II (MB damage +12%)
• INT: 210
  

Assumed target statistics are:

• Magic Defense Bonus +25
• Magic Damage Taken -12.5%
• INT: 90
  

dINT = 210-90 = 120
The terms in order (ignoring terms which are 1.0 for this calculation):

1. D: 191 + 900 + (20 * 2.0) = 1131
2. Magic Burst: 1.3 for 2-stage SC 1131 * 1.3 = 1470 (floored)
3. Magic Burst Bonus: 1.35 (13% trait, 10% gear, 12% Freeze II merits) 1470 * 1.35 = 1984
4. MAB/MDB: 131 caster MAB, 25 target MDB = (100+131)/(100+25) = 1.848 multiplier 1984 * 1.848 = 3666 (floored)
5. TMDA (MDT): 12.5% damage reduction = 0.875 multiplier 3666 * 0.875 = 3207 (floored)

Final damage: 3207 unresisted, with possible resisted damage of 1603, 801, or 400.

Sources

Broken Link (BG)
Magic Damage Formulae (Sloppysue, Alla)
Unsure, broken link
Magic Information Compilation (Yugl, BG)
How to calculate MDB/-MDT Quickly (Suiram, BG)

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Ffxi Magic Dmg Count As Mab 2