Magic Damage

Magic Damage Equation

Damage Dealt = D × MTDR × Staff × Affinity × Resist × Resistance Rank Reduction × MB × MBGB × 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 multiplier (from Magian Staves, Atma, Atmacite, and Elemental "Magic Atk. Bonus")
5. Resist: Reduction of spell damage due to resist states
6. Resistance Rank Reduction: Reduction of spell damage due to resistance rank
7. MB: Magic Burst
8. MBGB: Magic Burst Gear Bonus
9. Day & Weather: Day and Weather multipliers, including Iridesence 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, etc.

Explanation of Factors

Calculation of D

Each magic spell has a base value V.

Each magic tier has an inherent mutliplier value M.

Let dINT be (Caster's INT - Target's INT).

(Banishes and Holy, substitute MND for INT).

For dINT < 0: D = V + dINT (when dINT is a penalty, the tier mult. is always 1)

For dINT > 0, but less than some inflection point: D = V + (dINT * M)

For dINT > 0, but after some inflection point: D = V + (const + (dINT-const) * M / 2))

(above some critical value, adding INT/MND becomes half as effective)

For dINT > 0, but after some cap: D = cap

Elemental Magic:

M = 1.0 for all Helix spells.

M = 1.0 for all Ichi and Ni Ninjutsu spells.

M = 1.0 for all tier I/II single-target spells.

M = 1.0 for all -ga spells up to Blizzaga II.

M = 1.0 for all -ra spells up to Aerora II.

M = 1.5 for all San Ninjutsu spells.

M = 1.5 for all tier III single-target spells.

M = 1.5 for all -ga spells Thundaga II and beyond.

M = 1.5 for all -ra spells Fira II and beyond.

M = 2.0 for all tier IV and Ancient Magic spells.

M = ~2.299 for all tier V single-target spells.

Divine Magic:

M = 1.0 for Banish and Banish II.

M = 1.0 for Banishga and Banishga II.

M = 1.0 for Holy.

M = 1.5 for Banish III.

V values by spell:

Spell	Earth	Water	Wind	Fire	Ice	Lightning	Light
I	10	16	25	35	46	60	14
II	78	95	113	133	155	178	85
III	210	236	265	295	320	345	198
IV	381	410	440	472	506	541	N/A
I-ga	56	74	93	120	145	172	50
II-ga	201	232	266	312	350	392	180
III-ga	434	480	527	589	642	697	N/A
AM I	577	630	552	657	526	603	125 (256?)
Ichi	10	10	10	10	10	10	N/A
Ni	78	78	78	78	78	78	N/A

Any equipment with "Magic Damage +" statistic has this value added to D at this point.

Multiple-Target Damage Reduction

single-target spells = 1.0

-ga spells on a single target = 1.0

-ga spells on 2 to 9 targets = 0.9 - 0.05T where T = number of targets

-ga spells on 10+ targets = 0.4

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.

Resistance Rank Reduction

When a monster's resistance rank to an element is 50% or lower, an additional forced resist of 1/2 = 50% is added onto the previous resist, calculated multiplicatively.

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

Day of the Week | Weather Bonus

In general, elemental magic is stronger with the same element as the day/weather.

Day | Weather Bonus is calculated as:

• 1.0
• +0.05 for Sorcerer's Tonban when magic matches the current day.
• +0.03 for Zodiac Ring when magic matches the current day.

plus approximately a 1/3 chance for one of the following:

• +0.1 for magic of the day
• -0.1 for magic weak to the current day

plus approximately a 1/3 chance for one of the following:

• +0.1 for magic matching single weather
• -0.1 for magic weak to single weather
• +0.25 for magic matching double weather
• -0.25 for magic weak to double weather

The day and weather components are guaranteed to take effect when wearing an obi matching that day or weather.

While a double weather bonus can only naturally reach 1.35, Zodiac Ring and Twilight Cape can raise it to 1.43 if equipped together on matching day with double weather.

Magic Burst & Magic Burst Gear

MB bonus is 1.0 for no MB and 1.3 for a skillchain from 2 Weapon Skills, gaining 5% per extra WS in the skillchain series (i.e. 1.35, 1.4 etc)

Sorcerer's Gloves multiply the magic burst bonus by 1.05.

Static Earring multiplies the magic burst bonus by 1.05.

ex. floor(floor(floor(floor(... * MB) * Sorc.Gloves) * St.Earring) * ...) -> floor(floor(floor(floor(... * 1.3) * 1.05) * 1.05) * ...)

Magic Attack Bonus / Magic Defense Bonus

MAB is divided by MDB.

MAB is as we know it (i.e. MAB I = 1.2, MAB II = 1.24 etc). Items with the description "Magic Atk. Bonus"+X means to add X/100 to the current MAB. For example, Moldavite Earring which states "Magic Atk. Bonus"+5 means to add 0.05. Correct element potency merits are +2 MAB per merit, which adds 0.02.

MDB is 1.0 if not present and depends on the target of the magic.

After calculating the ratio of MAB to MDB, this term is truncated to two decimal places.

Target Magic Damage Adjustment

Target Magic Damage Adjustment means exactly what it sounds like. Certain targets are designed to take more or less % damage. Values for this portion of the equation appear to use the 256 number system. The base value is 1 (256/256) and is adjusted according to the fractional values in the charts below. The values are added together in the presence of more than one adjustment.

ex. Ahriman have a TMDA value of (1 - 64/256) = 192/256

ex. An Evil Weapon with Shell has a TMDA value of (1 - 32/256 - 24/256) = 200/256

Note: For player targets, this value is capped at 128/256 (50%).

Monster	Base Adjustment (%)	Adjustment (256ths)
Ahriman	75%	-64/256
Flans	125%	+64/256
Cardians	75%	-64/256
Corse	75%	-64/256
Demons	75%	-64/256
Evil Weapons	87.5%	-32/256
Ghrahs	87.5%	-32/256
Magic Pots	50%	-128/256
Lamiae	87.5%	-32/256
Effect	Base Adjustment (%)	Adjustment (256ths)
Shell	90.6%	-24/256
Shell II	85.9%	-36/256
Shell III	81.2%	-48/256
Shell IV	78.1%	-56/256
Bubble Curtain	50%	-128/256
Shining Ruby	96%	-10/256
Player Equipment	varies	varies

Magic Efficiency

See Magic Efficiency