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Metaphor's Math Monstrosity

By CTOBN

Detailing how Metaphor calculates damage, accuracy, crit rates, etc.

Award

Created by

CTOBN
Online

Category: Characters, Classes, Game Modes, Gameplay Basics, Secrets, Weapons

Languages: English

Posted

Updated

27 Oct, 2024 @ 3:30am

4 Jun @ 10:27am

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Guide Index

Overview

Introduction

Base Damage (Part 1)

Base Damage (Part 2)

Modifying Damage (Part 1)

Modifying Damage (Part 2)

Random Hit Count Weights

Healing

Accuracy/Evasion

Critical Hit Rate

Ailment Infliction Rate

Ailment Recovery

Effects of Ailments

Enemy Drops and Rewards

Miscellaneous

Conclusion

Comments

Introduction

I have no introduction. I do have math though.

Base Damage (Part 1)

Begin by converting your Weapon's Attack into a "True Weapon Attack" using the formula below

True Weapon Attack = ⌊ Displayed Weapon Attack x Archetype Modifier ⌋ x Sense of Kinship

Where "Archetype Modifier" is 0.85 for most archetypes, 0.9 for Prince, and 1.0 for enemies.

also your combined Armor/Gear Defense into a "True Armor Defense" using the formula below

True Armor Defense = (Displayed Armor Defense + Displayed Gear Defense) x Ironclad Bond

If the skill "Sense of Kinship" is equipped on the attacker, apply one of the below multipliers depending on the number of allies in the same lineage as the attacker, including the attacker themselves. Do the same for "Ironclad Bond" on the defender.

Allies in Matching Lineage

Sense of Kinship/Ironclad Bond

1.1

1.2

1.3

1.5

From this point the formula differs depending on if the attacker is a player or an enemy. Note that enemies have equipment just like players do.

Players

Next, True Weapon Attack is turned into "True Attack" by combining it with the skill's power, done as described below.

Condition

True Attack

Basic Attack

True Weapon Attack

Skill

0.9 x True Weapon Attack + 1.3 x Skill Power + Magic Power Factor

"Skill Power" is a constant value tied to the skill used in most cases, however there are 2 exceptions

Skills with "Power proportional to caster's remaining HP." have their power multiplied by the attacker's current HP (before paying the HP cost of the skill), then divided by the attacker's max HP, rounded down.

Lucky Slash has a unique behavior that produces variance. The below values are what Lucky Slash uses, depending on RNG

Condition

Lucky Slash Power (as multiplier to 180)

Lucky Slash Power (after applying multiplier)

RNG produces 0

0.5

RNG produces 1

1.0

180

RNG produces 2

1.2

216

RNG produces 3
OR
Equipment with "Improves skills with random effects."

2.0

360

Meanwhile "Magic Power Factor" is a value determined proportionally to the user's Magic stat. This is only used for skills that scale off Magic, so Strength-based skills use 0 for that value. These are the values used based on the attacker's Magic stat for magic (use the highest one that corresponds to a magic value lower than the attacker's magic)

Magic Stat

Magic Power Factor

"True Attack" is then turned into the base "Initial Power" by performing the following operation

Initial Power = True Attack - 0.5 x True Armor Defense

Initial Power is set to 10 if it would be a value less than 10.

The next major step is to create a "Stat Multiplier", which is done using the following method

Stat Multiplier = (Offense Correction x Attacker Offense - 0.5 x Defender Endurance) x 0.01 + 1

"Attacker Offense" and "Offense Correction" are dependent on what stat the attack scales off of, using the below values

Attacker Offense

Offense Correction

Strength

1.8

Magic

1.7

"Raw Damage" when the player attacks is calculated as

Raw Damage = Initial Power x Stat Multiplier

Enemies

Next, True Weapon Attack is turned into "True Attack" by combining it with the skill's power, done as described below.

Condition

True Attack

Basic Attack

0.5 x True Weapon Attack

Skill

0.5 x True Weapon Attack + Skill Power

And then turned into the base "Offense Value" by performing the following operation

Offense Value = True Attack x Attacker Offense

"Attacker Offense" is just Strength for basic attacks and physical skills, and Magic for magic skills.

The "Defense Value" used depends on what kind of attack is being used

Condition

Defense Value

Basic Attack

1.35 x Defender Endurance + 0.9 x True Armor Defense

Skill

0.36 x Defender Offense + 0.675 x Defender Endurance + 0.9 x True Armor Defense

"Defender Offense" is just Strength for physical skills, and Magic for magic skills.

"Raw Damage" when an enemy attacks is calculated as

Raw Damage = 2 x √(30 x Offense Value / Defense Value)

Base Damage (Part 2)

Universal

A few more "Correction" values are still needed for this step of damage calculation.

"Weakness Correction" is determined by the target's resistance to the attack. The defaults are

Resistance Level

Weakness Correction

Resist

0.5

Neutral

1.0

Weak

1.5

Weak
Equipment with "Reduces the damage from being hit by your weakness."

1.0

Weak
Equipment with "Significantly reduces the damage from being hit by your weakness."

0.8

Any
Target has Hex
Skill used is Dark

3.0

However "Resist", "Neutral", and "Weak" can be any number of values for enemies, determined arbitrarily on an enemy-by-enemy and affinity-by-affinity basis, though deviations from the defaults are rare.

Resist

Neutral

Weak

Default

0.5

1.0

1.5

0.4

1.5

1.8

0.3

2.0

0.2

3.0

0.1

"Level Correction" is determined by the difference in level between the attacker and the defender

Attacker Level - Defender Level

Level Correction (Normal)

Level Correction (Boss)

≤ -16

0.5

-15

0.55

-14

0.6

-13

0.65

-12

0.7

-11

0.75

-10

0.79

-9

0.83

-8

0.87

-7

0.91

-6

0.95

-5

0.97

-4

0.99

-3

-2

-1

1.05

1.1

1.15

1.2

1.25

1.3

1.35

1.4

1.45

1.5

1.6

1.5

1.7

1.5

1.8

1.5

1.9

1.5

2.1

1.5

2.2

1.5

2.3

1.5

2.4

1.5

2.5

1.5

2.6

1.5

2.7

1.5

2.8

1.5

2.9

≥ 25

1.5

3.0

"Row Correction" is a multiplier specific to whether the attacker is in the front row or back row. Note that enemies are always treated as being in the front row. Row Correction is 1 x the product of all that apply.

Row Condition

Row Correction

Attacker is in the Back Row
Skill is "Melee"

0.5

Defender's entire party is in the Back Row
"Protective Formation" Follower ability unlocked

0.5

Defender is in the Back Row

0.8

Attacker is in the Front Row
Equipment with "While in the front row, increases Attack."

1.2

Defender is in the Back Row
Equipment with "While in the back row, increases Defence."
*

0.5

*Skill is entirely unused.

"Row Correction" is skipped for all forms of friendly fire.

"Multihit Correction" is a divisor applied to multihit skills that is simply equal to the skill's highest possible hit count. For example, on a 2-4 hit skill "Multihit Correction" would be 4. On an 8 hit skill "Multihit Correction" would be 8.

The attack's base damage is calculated as

Base Damage = ⌊ ⌊ Raw Damage x Weakness Correction x Level Correction x Row Correction ⌋ / Multihit Correction ⌋

For Plunder Life, which drains HP proportionally to damage dealt, set Base Damage to the target's remaining HP if Base Damage would be higher than it.
Base Damage is set to 1 if it would be a value less than 1.

Modifying Damage (Part 1)

Once Base Damage has been obtained from the previous section, there's a series of modifiers to apply to it.

Some game mechanics exist that modify damage dealt, those are listed below

Mechanic

Multiplier

Guard

0.5

Critical Hit
No equipment with "Doubles critical hit damage."

1.5

Critical Hit
Equipment with "Doubles critical hit damage."

3.0

The "Difficulty Multiplier" is as follows

Difficulty Multiplier = Base Difficulty Multiplier x Critical Difficulty Multiplier x Weakness Difficulty Multiplier

The components of which are

Difficulty

Base Difficulty Multiplier (Player)

Base Difficulty Multiplier (Enemy)

Critical Difficulty Multiplier (Enemy Only)

Weakness Difficulty Multiplier (Enemy Only)

Storyteller

2.0

0.5

1.0

Easy

1.5

0.5

1.0

Normal

1.0

Hard

0.8

1.5

1.0

Regicide

0.8

1.75

2.0

3.0

The "Buff Multiplier" is as follows

Buff Multiplier = Attack Multiplier x Defense Multiplier x Focus Multiplier

The components of which are

Stage

Attack Multiplier (Tarukaja)

Defense Multiplier (Rakukaja)

Focus Multiplier (Charge and Hyper)

-3

0.6

1.4

-2

0.7

1.3

-1

0.8

1.2

1.0

1.2

0.8

2.25

1.3

0.7

1.4

0.6

"Ailment Multiplier" is a multiplier to damage dealt or taken that's conditioned on either the Attacker or the Defender having the ailment

Ailment Multiplier = Attacker Ailment Multiplier Product x Defender Ailment Multiplier Product

Ailment

Attacker Ailment Multiplier

Defender Ailment Multiplier

Frostbite

0.5

1.0

Rage

2.0

"Attack Multiplier" is a multiplier to damage dealt based on a special property of the attack used

Property

Attack Multiplier

Skill Used has one of
"Increases damage against human-type monsters."
or
"Damage boosted against human-type monsters."

1.5

Skill used has
"Increased damage against those afflicted with Anxiety"
also Trial of the Seeker for some reason

1.5

Modifying Damage (Part 2)

The majority of passive skills that modify damage are "Additive" damage boosts. This means that the damage increase is equal to

Additive Multiplier = 1 + (sum of additive damage boosts) / 100

The following damage increases are additive

Passive Skill/Effect

Condition

Additive Damage Boost

<element> Boost
Equipment with "Increases <element> attack strength."

Attack using <element>

<element> Surge
Equipment with "Significantly increases <element> attack strength."

Attack using <element>

Magic Boost
Equipment with "Increases strength of all magic."

Attack using Magic

Magic Surge
Equipment with "Significantly increases strength of all magic."

Attack using Magic

Front Boost

User is in Front Row
Self or ally in Front Row is attacking
Attack using Physical skill

Back Boost

User is in Back Row
Self or ally in Back Row is attacking
Attack using Magic

Short-Range Boost

Attack using a skill while in Front Row

Long-Range Boost

Attack using a skill while in Back Row

Martial Lore

Attack using Basic Attack

Revenge Seeker

Attack using a skill

⌈100 x (1 - Current HP / Max HP)⌉

Heat Up

Attack using Physical skill

Same Lineage Allies (including self)

Additive

Magic Circle

Attack using Magic

Same Lineage Allies (including self)

Additive

Arcane Unity

Attack using Synthesis

Equipment with "Increases the cost and strength of money skills."

Attack with a skill that (by default) costs money to use

100

Equipment with "Greatly increases the cost and strength of money skills."

Attack with a skill that (by default) costs money to use

200

Equipment with "Increases the strength of Synthesis skills that cost 0 MP."

Attack using Free Juggling or Miracle Cirque

Equipment with "Significantly increases the strength of Synthesis skills that cost 0 MP."

Attack using Free Juggling or Miracle Cirque

100

Equipment with "Increases damage when breaking through resistance."

Attack using a skill that "Ignores resistances."
Target would Resist/Null/Repel/Drain the skill if it didn't ignore resistances.

Front Surge
*

User is in Front Row
Self or ally in Front Row is attacking
Attack using Physical skill

Back Surge
*

User is in Back Row
Self or ally in Back Row is attacking
Attack using Magic

*skill is entirely unused

Beyond just the Additive Multiplier, there's a number of passive skills that apply independent multipliers, grouped together as

Passive Multiplier Product = 1 x (product of all independent multipliers from passives)

the below passives are independent multipliers

Passive Skill/Effect

Condition

Independent Multiplier

Sturdy Stance

Take damage

0.5

Noble Resolve

Take damage during an ambush

0.5

Equipment with "Increases damage against <enemy type>-type monsters."

Attack a target that is <enemy type>

1.5

Equipment with "Increases the MP cost and strength of Synthesis."

Attack using Synthesis that costs a non-zero amount of MP

2.0

Short-Range Surge
*

Attack while in Front Row

1.5

Long-Range Surge
*

Attack while in Back Row

1.5

Equipment with "Increases damage against enemies with Anxiety."
*

Target Has Anxiety

1.5

*skill is entirely unused

To get the actual "Average Damage", combine the multipliers

Average Damage = ⌊ Base Damage x Guard x Critical Hit x Difficulty Multiplier x Buff Multiplier x Ailment Multiplier x Attack Multiplier x Additive Multiplier x Passive Multiplier Product ⌋

If Average Damage is 99,999 or greater, the final damage value is set to 99,999.

If Average Damage is 99,998 or less, the next step is to apply damage ranges. This can be any whole % of Average Damage from 95% to 105% (so 95% and 96% are both possible, but 95.5% isn't) selected at random, then rounded down.

Finally, if the final damage value is less than 1, it is instead 1.

Random Hit Count Weights

It's mentioned in-game that Luck influences the number of times multi-hit skills hit. In actuality the game generates a skip chance using

Skip Chance = ⌊ Attacker Agility / 10 + Attacker Luck / 20 ⌋

If Skip Chance would be greater than 10%, it is instead 10%.

Skip Chance is the percentage chance the game skips hit count randomization and gives the max number of hits. If the game randomizes the hit count, then all values from the minimum hit count to the maximum hit count are equally likely.

The vast majority of skills with a random hit count have a range from their minimum hit count to their minimum hit count + 2. For those skills, here's what the odds of each hit count look like based on the value of Skip Chance

Skip Chance

Min Hits

Min Hits + 1

Min Hits + 2

Average Hits

33.33%

Min Hits + 1

33%

34%

Min Hits + 1.01

32.67%

34.67%

Min Hits + 1.02

32.33%

35.33%

Min Hits + 1.03

32%

36%

Min Hits + 1.04

31.67%

36.67%

Min Hits + 1.05

31.33%

37.33%

Min Hits + 1.06

31%

38%

Min Hits + 1.07

30.67%

38.67%

Min Hits + 1.08

30.33%

39.33%

Min Hits + 1.09

10%

30%

40%

Min Hits + 1.1

The skills Wild Barrage and Wild Salvo instead hit 2-3 times, below is what their odds look like at each Skip Chance

Skip Chance

2 Hits

3 Hits

Average Hits

50%

2.5

49.5%

50.5%

2.505

49%

51%

2.51

48.5%

51.5%

2.515

48%

52%

2.52

47.5%

52.5%

2.525

47%

53%

2.53

46.5%

53.5%

2.535

46%

54%

2.54

45.5%

54.5%

2.545

10%

45%

55%

2.55

Healing

Begin by converting your Weapon's Attack into a "True Weapon Attack" using the formula below

True Weapon Attack = ⌊ Displayed Weapon Attack x Archetype Modifier ⌋ x Sense of Kinship

Where "Archetype Modifier" is 0.85 for most archetypes, 0.9 for Prince, and 1.0 for enemies.

If the skill "Sense of Kinship" is equipped on the attacker, apply one of the below multipliers depending on the number of allies in the same lineage as the attacker, including the attacker themselves.

Allies in Matching Lineage

Sense of Kinship

1.1

1.2

1.3

1.5

From there the base healing is calculated like this for players

Base Healing = ⌊ True Weapon Attack x 0.45 + Skill Power x 1.3 + Magic Healing Factor ⌋

Meanwhile base healing is calculated like this for enemies

Base Healing = ⌊ True Weapon Attack x 0.5 + Skill Power + Magic Healing Factor x 0.6 ⌋

"Skill Power" is the power value of the healing skill being used.

"Magic Healing Factor" is a value derived from the skill user's Magic stat, based on the below lookup table (use only the highest applicable one)

Minimum Magic Value

Magic Healing Factor

Very few multipliers are applied to healing, with only the following to consider

Skill/Effect

Condition

Passive Multiplier

Arcane Unity

Healing Skill is Synthesis

1.1

Godly Blessing

1.5

The "Average Healing" is

Average Healing = ⌊ Base Healing x Passive Multiplier Product ⌋

If Average Healing is 99,999 or greater, the final healing value is set to 99,999 (though this is irrelevant, as there's no method in game to achieve more than 1,305 average healing from a single skill).

If Average Healing is 99,998 or less (which it will be), the next step is to apply damage ranges. This can be any whole % of Average Healing from 95% to 105% (so 95% and 96% are both possible, but 95.5% isn't) selected at random, then rounded down.

Finally, if the final healing value is less than 1, it is instead 1.

Accuracy/Evasion

The game begins by determining a "Base Accuracy" from the following formula

Base Accuracy = ⌊ (1 + Attacker Agility / 400 - Defender Agility / 800) x (Skill Hit - Evasion) ⌋

Evasion being the sum of evasion from Armor and Sub-Armor.
For enemies this is 15 on Fios humans, 20 on Luma humans, 25 on Voidblack Fios humans, and either 0 or 3 in all other cases.

Skill Hit is technically arbitrary on a per-skill basis, however they follow a specific set of rules based on who they target and what stat their damage scales off (note: only reliable for player-usable damaging skills)

Targets

Skill Hit (Strength-based)

Skill Hit (Magic-based)

1 foe

all foes

with the following exceptions (among player-usable damaging skills)

Skill

Skill Hit

Plasma Nightblade

97 (despite targeting all foes)

Skills with "Low Hit Rate"

Any Synthesis if user has Arcane Unity

100

Several multipliers are applied to Base Accuracy

The "Sukukaja Multiplier" is as follows

Sukukaja Multiplier = Attacker's Multiplier x Defender's Multiplier

The components of which are

Sukukaja Stage

Attacker's Multiplier

Defender's Multiplier

-3

0.7

1.3

-2

0.8

1.2

-1

0.9

1.1

1.0

1.1

0.9

1.2

0.8

1.3

0.7

The Daze multiplier is set to

Condition

Daze Multiplier

Default

1.0

Attacker has Daze

0.5

There's a number of passive skills that apply multipliers here, grouped together as

Passive Multiplier Product = 1 x (product of all independent multipliers from passives)

the below passives multiply accuracy

Passive Skill/Effect

Condition

Passive Multiplier

<element> Dodge
Equipment with "Increases Evasion against <element>."

Attacked with <element>
<element> Evasion not present

0.85

<element> Evasion
Equipment with "Greatly increases Evasion against <element>."

Attacked with <element>

0.6

Physical Dodge
Equipment with "Increases Evasion against Slash, Pierce, and Strike."

Attacked with Slash, Pierce, or Strike

0.85

Third Eye

Attacked

0.5

Aim Support

Attacking

Same Lineage Allies (including self)

Multiplier

1.1

1.2

1.3

1.5

There's a few effects beyond multipliers that directly subtract from the final accuracy value, grouped together as

Reduction Total = (sum of all Reductions)

the below effects reduce accuracy

Passive Skill/Effect

Condition

Reduction

Shadow Dwellers

Attacked

Same Lineage Allies (including self)

Reduction

Beast-Scent Adept

Attacked by one of

Demonic Beast
Bird Monster
Human

Beast's Insight not unlocked

Beast's Insight

Attacked by one of

Demonic Beast
Bird Monster
Human

Avades Bonus

Defender is an Avades human's heart
Shell is alive
Attack is strength-based
Attack is melee

The final Hit Rate is

Hit Rate = ⌊ Base Accuracy x Sukukaja Multiplier x Daze Multiplier x Passive Multiplier Product ⌋ - Reduction Total

If Hit Rate would be above 99%, it is instead 99%. If Hit Rate would be below 1%, it is instead 1%.

Lastly, under the following conditions, hit rate calculation is ignored, and a specific result is given

Condition

Result

Null/Repel (counters included)/Drain

"Hit"

Skill has 100 Skill Hit without Arcane Unity

Hit

Skill benefits from an Accuracy Charge (Precision Fermented Ribs)

Hit

Target is asleep

Hit

Target has Sturdy Stance

Hit

Critical Hit Rate

To start, only Strength-based Slash, Pierce, Strike and Almighty attacks can crit.
If the skill can crit, then crit rate is calculated as

Base Crit Rate = ⌊ ( Attacker Luck + 50 ) / ( Defender Luck + 50 ) x Skill Crit x Enemy Penalty ⌋

"Enemy Penalty" is 0.8 if an Enemy is attacking, and 1.0 if a Player is attacking.

"Skill Crit" is defined arbitrarily per skill. Below is what that value looks like for any (player-usable) skill

Skill

Skill Crit

Summon Goblin King
Fortune Slots
Critical Strike

100 (skip calculation and succeed if able)

Gold Rush
Gold Attack

Bodhisattva's Palm
Brave Blade

Spiral Fist

Perfect Punch
Crushing Fist

Skull Cracher
Power Thrust
Hell Thrust

Meteoric Fist
Tiger Eruption Fist

Plasma Nightblade
All other single-target skills that can crit

All other multi-target skills that can crit

Slash, Pierce, Strike, or Almighty basic attacks

The final crit rate is

Crit Rate = Base Crit Rate + Boosts

Where boosts are

Skill/Effect

Condition

Boost

Critical Trade
Equipment with "Increases critical hit chance."

Base Crit Rate

Diligent Discipline

Same Lineage Allies (including self)

Boost

Spirit of Adversity

Current HP / Max HP ≤ 0.25

High Voltage

Begin Squad Battle with an Ambush*

Rebellion

Spend a turn icon buffing crit rate
All crit rate buffs of that sort apply Rebellion

Undaunted Spirit

Attack a Human
Slayer of Humans not unlocked

Slayer of Humans

Attack a Human

*Opening Volley + Stun does not count as an ambush. As a result this is impossible to benefit from as the player. Since no enemies have the skill, this effectively means High Voltage does nothing due to an oversight.

Additionally, under the following circumstances crit rate calculation will either be bypassed, or the result will be ignored (results with "no crit" are prioritized over results with "crit")

Condition

Forced Result

Attack does not scale off Strength by default

no crit

Attack is not Slash, Pierce, Strike, or Almighty

no crit

Attack hits a weakness, or is evaded, nulled, repelled, or drained

no crit

Defender has Dodge Master

no crit

Attack's base crit rate is 0

no crit

Defender is guarding

no crit

Attack's base crit rate is 100

crit

Defender is afflicted with Sleep

crit

Defender is afflicted with any ailment
Attack is Loathsome Claw

crit

Attack is basic attack
Equipment with "Attacks that land always deal critical hits." is present

crit

Weather is not Clear, Cloudy, Rain, or Dread
Equipment with "Always deal critical hits during storms." is present

crit

Ailment Infliction Rate

The ailment rate formula is

Base Ailment Rate = ⌊ (Attacker Luck + 100) / (Defender Luck + 100) x Skill Ailment Rate x Weakness Correction ⌋

With "Skill Ailment Rate" being defined on a per-skill basis. The following ailment rates are used for players (enemy-only skills may vary from this).

Source

Skill Ailment Rate

Basic attacks that can inflict ailments
Illusive Dream
Assassinate
Plasma Nightblade

All other skills or consumables that inflict ailments

Infernal Vortex
Summon Fairy (Modified)
Godkiller

"Weakness Correction" can be any number of values tied to the character's resistance to the ailment's element.

Resist

Neutral

Weak

Default

0.5

1.0

1.5

0.4

1.5

1.8

0.3

2.0

0.2

3.0

0.1

With ailments using these resistances

Ailment

Element

Poison

Malady

Paralysis

Hex

Dark

Burn

Fire

Frostbite

Ice

Charm

Daze

Forget

Sleep

Rage

Dark

Anxiety

Stun

Almighty

A number of multipliers are applied to ailments after calculating the base rate, listed below

Source

Condition

Multiplier

Art of Dance

Attacker has Art of Dance
Ailment is not KO
Ailment source is not a consumable

1.3

Pagan Teachings

Follower is in defender's party
Ailment is Anxiety
Pagan Secrets not unlocked

0.5

Pagan Secrets

Follower is in defender's party
Ailment is Anxiety

0.25

Hex

Defender has Hex
Ailment source is not a consumable

2.0

Snow

Weather is Snow
Ailment is Frostbite
Ailment source is not a consumable

2.0

The final ailment rate is

Ailment Rate = ⌊ Base Ailment Rate x Multiplier product ⌋

If Ailment Rate would be more than 99%, it is instead 99%.

Anxiety

If an enemy lands a crit on an ally and does not inflict another mind ailment with that attack or if an ally attacks into a Null, Repel, or Drain, there's a chance that ally will be afflicted with Anxiety if they aren't already.

Resistance

Anxiety Base Rate (Standard)

Anxiety Base Rate (Pagan Teachings)

Anxiety Base Rate (Pagan Secrets)

Neutral (100%, most archetypes)

20%

10%

Resist (50%, Prince)

10%

Resist (30%, Faker/Trickster)

If playing on Regicide, add a flat 20% to the anxiety base rate.

Flags can be set by the game to either skip this process or guarantee the Anxiety attempt succeeds.

Ailment Recovery

Ailment Recovery attempts occur only at the start of each turn. And it cannot happen the turn immediately after receiving the ailment.

Ailment Recovery rate is

Ailment Recovery Rate = ⌊ Luck / 4 ⌋ + 20

Additionally, each ailment starts with some number of turns remaining that ticks down at the start of each turn. Once that ticks down to 0, a recovery is guaranteed.

Ailment

Max Duration

Poison

Malady

Paralysis

Hex

Burn

Frostbite

Charm

Daze

Forget

Sleep

Rage

Anxiety

Stun

Additionally, due to what appears to be an oversight, if any support effect (Tarukaja, Rebellion, Knight's Proclamation, etc.) on the afflicted expires at the start of their turn, all ailment recovery functions are skipped. This skips, among other things, decrementing the ailment timer, running the random recovery check, or even Instant Recovery's effect to recover from ailments immediately.

Effects of Ailments

Poison

After acting, afflicted loses 5% of their max HP. Cannot be lethal.

Malady

Strength, Magic, Endurance, Agility, and Luck are reduced to 1/3rd their original value. This is applied before capping stats after equipment, so a character with 99 Strength before equipment and +7 Strength from equipment will have 99 Strength without Malady, but will have 35 Strength with Malady instead of 33.
Healing does not affect the afflicted character.

Paralysis

Upon acting, 80% chance to be paralyzed and unable to move.
Note that, despite making the afflicted unable to move, it does not in any way hinder evasion.

Hex

Resistance damage multiplier for Dark is set to 3.0x against afflicted, regardless of the actual resistance level.
Ailment rates are doubled against afflicted when not using consumables.
After afflicted deals damage, afflicted takes damage equal to 50% of the total damage dealt to targets that survived the attack, rounded down.

Burn

After afflicted takes damage, afflicted takes additional damage equal to 30% of the total damage dealt, rounded down.

Frostbite

Afflicted's damage dealt is multiplied by 0.5x.

Charm

Overrides afflicted's action in ways that are not yet fully understood.

Daze

Afflicted's hit rate is multiplied by 0.5x.

Forget

Afflicted cannot use skills, but can still perform basic attacks, guard, pass, and use items.

Sleep

Afflicted's action is lost, restoring an as of yet undocumented amount of HP and MP.
Afflicted cannot evade.
Attacks against afflicted that can crit will always crit.
Cured upon receiving non-Draining HP damage.

Rage

Afflicted is forced to perform a basic attack on their action.
Afflicted both deals and takes 2x damage.

Anxiety

Afflicted will perform archetype skills randomly when using them, the specifics of which are not known.
If an attack deals damage to afflicted, no press turn icon is removed.
Cured upon taking any HP damage from a character other than self.

Stun

Afflicted cannot act or evade.
20% chance to be cured upon taking HP damage from a source other than Opening Volley, Mortal Strike, or a source that Drains HP, once per attack (on the last hit).

Enemy Drops and Rewards

EXP and A-EXP

If Fortune's Grasp and/or Archetypal Ring (does not stack) are found on the character, multiply A-EXP by 1.5.

Multipliers are applied to EXP and A-EXP based on the difference between the enemy's level and the player's level

Enemy Level - Player Level

EXP/A-EXP Multiplier

-10

0.25

-9

0.3

-8

0.35

-7

0.4

-6

0.45

-5

0.5

-4

0.55

-3

0.6

-2

-1

1.05

1.1

1.15

1.2

1.3

Item Drop Rate

Each enemy has a common drop and a rare drop, the odds of them giving their drop are

True Drop Rate = (⌊ ( 1 + Total Luck of Party / 400 ) x Drop Rate ⌋ + Lucky Find) x Regicide x Ambush

"Drop Rate" is the base drop rate for the item.

"Total Luck of Party" only includes the active party, not anyone in reserves.

"Lucky Find" is 20 if anyone in the party has the skill "Lucky Find" for common drops, or 20 if anyone in the party has the skill "Luckier Find" for rare drops. Otherwise this is 0.

"Regicide" is 2 if playing on the "Regicide" difficulty setting, otherwise it's 1.

"Ambush" is 2 if the player stuns the enemy in the overworld before starting the battle.

Steal

Stealing can only steal the enemy's rare drop, and has one of the following Steal rates

Normal

Steal Chance = ⌊ Attacker Agility / 2 + Drop Rate x 1.2 ⌋ + Plunder Bonus

Equipment with "Increases success of stealing skills."

Steal Chance = ⌊ Attacker Agility + Drop Rate x 1.2 ⌋ + 10 + Plunder Bonus

"Plunder Bonus" is 20 if using Plunder instead of Steal.

"Drop Rate" is the base drop rate of the item being stolen. This can be any of 1, 2, 3, 4, 5, 8, 25, or 100 depending on the enemy being stolen from.

At 89 Agility or more, when using equipment to boost the success rate of stealing skills, it is impossible for Steal to fail provided there is an item to Steal.

Debt Collection

The amount of MAG added to the battle result by Debt Collection is determined by

Bonus MAG = √(Attacker Level) x Attacker Archetype Rank x 10

Since MAG gained this way is added to the battle result itself, it is affected by Unscathed Triumph, and is not gained if running away.

Pickpocket

Pickpocket gives a 50% chance of receiving an enemy's common drop when stunning or killing them in the overworld while the protagonist is in Thief, Assassin, or Ninja. This chance cannot be modified. In some cases, it will use the enemy's rare drop instead, though why this happens is not understood.

Miscellaneous

Faker's Roguery

Faker's Roguery's outcomes are split into the following table. Number of times Faker's Roguery has been used is reset at the start of the player's turn

Result

First Time

Second Time

Third Time onwards

First Time (Joker's Knives)

Second Time (Joker's Knives)

Third Time onwards (Joker's Knives)

Lost all Turn Icons!

10%

95%

10%

95%

All Turn Icons are blinking!

25%

35%

Gained two Turn Icons!

35%

40%

Gained three Turn Icons!

25%

10%

45%

40%

Gained four Turn Icons!

10%

15%

10%

Guard Duty

The protagonist is attacked by an enemy
The attack would strike the protagonist's weakness
the attack used is single-target
Hulkenberg is in the active party
Hulkenberg has no ailments
This ability has not been triggered previously this battle

then there is a chance the attack is redirected to Hulkenberg, depending on the ability unlocked

Ability

Activation Chance

None

Guard Duty

30%

Special Guard Duty

100%

Hulkenberg is treated as guarding for a redirected attack.

Victory Foresight

If the ability "Victory Foresight" is unlocked, then the following behavior will occur.

At the start of each player's turn, the game checks Victory Foresight's turn counter.
If the turn counter is 0, then there is a 31% chance that Gallica adds 2 blinking Turn Icons.
If she adds turn icons, Victory Foresight's turn counter is set to a random value from 6 to 9.

At the end of each enemy turn, if Victory Foresight's turn counter is greater than 0, it is lowered by 1. This occurs before the above behavior.

Conclusion

Let me know if there's anything that I didn't cover here that you think should be. I'm still working on this, and would appreciate any suggestions for what to include or look into.

Spreadsheet with Skill, Equipment, and Enemy Data:
https://docs.google.com/spreadsheets/d/1FDC6T6tr__-AU18tY--4-ZUSzkeaMM_Kg_Crqu6VrcM/edit?usp=sharing

Spreadsheet with Character/Archetype stats and growths
https://docs.google.com/spreadsheets/d/1UF3G5-pp0uUm6c8i39B5-Zi6fATB2gaH-fHWpLgWxRs/edit?usp=sharing

92 Comments

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CTOBN [author] 5 Jun @ 3:11pm

@Zael

it's so they have the option to use skills like Hell Thrust for certain setups. Basic attacks are, if I'm honest, awful even by modern megaten standards. The only reason I think Strength is the 2nd best stat for mages is that the 3 non-damaging stats do close to nothing.

Zael 5 Jun @ 1:59pm

@CTOBN

Really appreciate the response, bud, thanks a mil. I assume you're going strength on magic attackers just so their regular attack is stronger?

CTOBN [author] 5 Jun @ 1:48pm

@Zael

This is all largely rooted in interpretation, but

Most of Agility's effects are as minimal as you're imagining them to be. If only the player side is a control, then it stops at 1.2716x going from 3 to 99 when attacking a 99 Ag opponent, and 0.8798x going from 3 to 99 when defending attacks from a 1 Ag opponent. Its effects on hit count are also very minimal, with the max boost to hit count on a skill with X min hits and X + 1 max hits (most random hit count skills do this) being +0.1 on average (changes the even 1:1:1 split between +0, +1, and +2 to a 3:3:4 split).

However, the order in which your party members move is determined by Agility, and managing said turn order is a genuinely valuable function.

Luck is probably still the 2nd best stat for physical attackers to invest in, but I think the 2nd best stat for magic attackers (as in what to invest in after capping Magic) is honestly just Strength.

Zael 5 Jun @ 3:37am

Hi @CTOBN

Thanks for much for this break down, it's incredible work. Kind of a broad question, so I apologise, but would it be correct to say that Agility doesn't really have much of an effect on hitting & dodging based on the calculation and that the buffs are much more important for hitting & evasion + debuffs much more important for dodging?

I was going to go into Agility as my secondary stat for most characters but it seems like maxing their main stat & then going into Luck as secondary might be better?

Drone456 8 Mar @ 2:22pm

@CTOBN

Thanks a lot for the quick answers man! Really appreciate it. Wish Opening Volley didn't work that way, but oh well I guess, back row it is haha. Would have been nice if there was a risk/reward system in the overworld in addition to the turn-based combat.

Thanks again!

CTOBN [author] 8 Mar @ 2:14pm

@Drone456

1) I can't tell you for overworld, but Opening Volley is a fixed range of 30% to 35% of their max HP. Mortal Strike (the upgraded version of Opening Volley) is a fixed range of 60% to 70% of their max HP.

2) No. Like I said earlier it's a fixed range.

3) I think it's purely random, but I don't actually know for sure.

Drone456 8 Mar @ 1:18pm

1) Does the Strength or Magic stat affect overworld/opening volley (free attack when engaging a stunned enemy) damage? If not, is it just level and weakness exploitation (from what I found others purporting)?

2) Does formation affect overworld/opening volley damage at all? As in do characters in the front row do more damage with attacks in the overworld/opening volley, and vice-versa with backrow?

3) What determines who initiates the opening volley? Is it just purely random?

If you don't know the answers to these questions and don't feel like digging to find them out, no worries man. But thought I would at least ask in case you might know. As especially with #2, it just doesn't make sense that they don't just default you to backrow at all points then if that's unaffected.

Thanks for your time in even reading this, and also again for the guide!

Drone456 8 Mar @ 1:18pm

Thanks a lot for taking the effort and time to make this guide! A lot of this goes over my head, as I am not very math literate haha, but it's still nice to see how some things break down.

Hopefully you don't mind a few questions I have that I just cannot find the answer to anywhere seemingly. I figured you would likely be the best person to ask for this, as you deep-dived all the mathematics of this game.

(Sorry about the split in messages. 1000 character limit...)

CTOBN [author] 12 Feb @ 10:40am

@Nathan Ciel

Luck does not affect that.

Answer is A. Adding Counter and Magic Counter would do nothing if Omni-Counter is already present.

That hasn't been verified explicitly, but as far as I can tell a forced weakness would affect Hex's affliction rate. On paper it would let you inflict Hex/Instakill on enemies that are normally immune to Dark, however each element resistance can have a flag set for "ailment immunity" that isn't overridden by forced weaknesses. This flag is set so commonly on Dark resistance that the only Dark-immune enemy you would be able to inflict Hex/Instakill on this way is "Ostoflo" (level 41 Plant enemy with 30 luck, for reference on finding it).

Nathan Ciel 12 Feb @ 2:00am

Sorry, a few more questions.

Does Luck affect counter chance at all? What would happen if I add Lance of Judgment, Counter and Magic Counter to Royal Knight's Omni-Counter?

A) They don't stack. Still 25% chance to repel all elements excluding Almighty.

B) They stack. 50% chance to repel all elements excluding Almighty.

C) They stack. 25% chance on two separate "rolls".

And what about ailment affliction rate? Like, can you "boost" Hex affliction chance by forcing a Dark weakness with Sable Dance? Is it possible to inflict Hex on enemies that are supposedly immune to it with this method?

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