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Below are calculations and explanations of how damage is calculated in Magia Record. The information easiest affect-able and approachable for the normal user is presented in Adjusted damage, most notably the hard caps on damage adjusters such as Blast Up, Attack Up etc. on 100%, and the varying damage of disks.

The examples will use the following scenario:

A level 100 Kaname Madoka with all materials set, equipped with Everlasting Light and For This Fine Day, both level 50, standing in the middle of the default/X formation (ATK↑ DEF↑), receiving connects from a level 100 Minami Rena (+40% ATK), a level 100 Tart (+105% DEF) and a Madoka-senpai (-15% ATK and -15% DEF).

Effective Attack

Effective ATK = (Base ATK * (1 + Awakening bonus) + Memoria ATK) * (1 + ATK buff) * Formation modifier

Where:

  • Base ATK is the magical girl's ATK before bonuses.
  • Awakening bonus is the bonus received when an awakening material is set.
  • Memoria ATK is the memoria's ATK value.
  • ATK buff is the sum of the Attack Up and Attack Down modifiers affecting the character, as the % noted in Connect and Memoria effects. If the sum is below 0 the ATK buff is 0.
  • Note that the modifiers each have a separate cap at 100%.

Formation modifiers:

  • ATK↑ - *1.1
  • ATK↓ - *0.9
  • ATK↑↑ - *1.15

Example Calculation

Effective ATK = (6,832 * (1 + 0.08) + 1,900) * (1 + 0.40) * 1.1 = 14,288.98

Effective Defense

Effective DEF = (Base DEF * (1 + Awakening bonus) + Memoria DEF) * (1 + DEF buff) * Formation modifier

Where:

  • Base DEF is the magical girl's DEF before bonuses.
  • Awakening bonus is the bonus received when an awakening material is set.
  • Memoria DEF is the memoria's DEF value.
  • DEF buff is the sum of the Defense Up and Defense Down modifiers affecting the character, as the % noted in Connect and Memoria effects. If the sum is below 0 the DEF buff is 0.
  • Note that the modifiers each have a separate cap at 100%.

Formation modifiers:

  • DEF↑ - *1.1
  • DEF↓ - *0.9

Example Calculation

Effective DEF = (9,276 * (1 + 0.06) + 1,905) * (1 + 1.00) * 1.1 = 25,822.63

(Note that 1.05 from Tart's connect got capped to 1.00)

Base Damage

Base damage = Effective ATK * (1 + ATK debuff) - (Effective DEF * (1 + DEF debuff))/3

Where:

  • ATK debuff is the sum of the Attack Down and Attack UP modifiers affecting the character, as the % noted in Connect and Memoria effects. If the sum is above 0 the ATK debuff is 0.
  • DEF debuff is the sum of the Defense Down and Defense UP modifiers affecting the character, as the % noted in Connect and Memoria effects. If the sum is above 0 the DEF debuff is 0.
  • Note that the modifiers each have a separate cap at 100%.
  • When base damage is less than 500, it is set to 500.

Example Calculation

In this example Madoka is used both as attacking and attacked character to avoid expanding the scenario.

Base damage = 14,288.98 * (1 - 0.15) - (25,822.63 * (1 - 0.15))/3 = 4829.22

Adjusted Damage

Accele, Blast and Charge Damage

Adjusted damage = Base damage * (1 + Awakening bonus) * Disc factor * Blast factor * Charged bonus * Charge consumption penalty * Attribute bonus * Damage buffs * Mirrors modifier

Where:

Disc factor
Disc Normal Puella Combo A/B/C Combo Puella + A/B/C Combo
A 1.0 1.2 1.0 1.2
B (Quests) 0.6 0.9 0.9 1.2
B (Mirrors) 0.7 1.0 1.0 1.3
C 0.8 1.2 0.8 1.2
Blast factor
Position Blast as 1st disk Blast as 2nd disk Blast as 3rd disk Non-Blast discs
Modifier 1.0 1.1 1.2 1.0
Charged bonus
Charge(s) Accele damage Blast damage Accele MP
1 1.1 1.4 1.3
2 1.2 1.7 1.6
3 1.3 2.0 1.9
4 1.4 2.3 2.2
5 1.5 2.5 2.5
6 1.6 2.7 2.7
7 1.7 2.9 2.9
8 1.8 3.1 3.1
9 1.9 3.3 3.3
10 2.0 3.5 3.5
11 2.1 3.7 3.9
12 2.2 3.9 4.3
13 2.3 4.1 4.7
14 2.4 4.3 5.1
15 2.5 4.5 5.5
16 2.6 4.6 6.0
17 2.7 4.7 6.5
18 2.8 4.8 7.0
19 2.9 4.9 7.5
20 3.0 5.0 8.0
Charge consumption penalty
Charge consumption penalty = 0.9 if the attack consumes any charge in mirrors, 1 if it consumes any charge in quests, and 1 if it does not consume a charge.
Attribute bonus
Attribute Disadvantage Neutral Advantage Advantage + Status Lv. 2 (burn/darkness/stun) Advantage + Status Lv. 3 (curse/dazzle/bind)
Modifier 0.5 1.0 1.5 1.8 1.8
Damage Buffs
Total modifier is Damage Buffs = 1 + Damage Up + Damage Increase + Blast Damage Up (Only for blast disks) + Negative Effect Damage Up + Critical Modifier (Applied only on a critical hit)

Where each modifier is the sum of the all modifiers of that type affecting the character, as the % noted in Connect and Memoria effects. Each modifier has a separate cap at 100%, and Damage Buffs has a total cap of 3, ie 200% increase from various sources

Example Calculation

During a puella combo a critical hit with a Charge disk from Madoka on a Dark type enemy not affected by status alignments will do Adjusted damage = 4829.22 * (1 + 0.05) * 0.8 * 1.5 * 1 * 1.5 * (1 + 0 + 0 + 0 + 0 + 1) = 18,254.45 damage

Chase and Counter Damage

Adjusted damage = max (Base damage * Chase or counter multiplier, 500) * Attribute bonus * Damage buffs * Mirrors modifier

Where:

Chase Multiplier or Counter Multiplier
Chase multiplier or counter multiplier is the damage given in % on the girls' or memorias' ability page. It's usually 80%, but changeable.

For details about other factors, see #Accele, Blast and Charge Damage.

Magia and Doppel Damage

Adjusted damage = Base damage * Magia Multiplier * Magia overcharge * Attribute bonus * Strengthening bonus * Damage buffs * Mirrors modifier

Where:

Magia Multiplier
Magia multiplier is the damage given in % on the girls ability page
Magia overcharge
First magia in a row 1.0
Second magia in a row 1.1
Third magia in a row 1.2
Attribute bonus
Attribute Disadvantage Neutral Advantage Advantage + Status Lv. 2 (burn/darkness/stun) Advantage + Status Lv. 3 (curse/dazzle/bind)
Modifier 0.5 1.0 1.5 1.8 1.8
Strengthening bonus
Strengthened magias deal 200% damage to their strong attribute, otherwise 100%
Damage Buffs
Total modifier is Damage Buffs = 1 + Damage Up + Damage Increase + Negative Effect Damage Up + Magia Damage Up

Where each modifier is the sum of the all modifiers of that type affecting the character, as the % noted in Connect and Memoria effects. Each modifier has a separate cap at 100%, and Damage Buffs has a total cap of 3, ie 200% increase from various sources

Example Calculation

A Madoka doppel on the second slot after a Rena magia to a Void element will as such do

Adjusted damage = 4829.22 * 8.14 * 1.1 * 1 * 1 * 1 = 43,240.84

In Mirrors

Mirrors Modifier
In Quests A, B and C discs in Mirrors Magia and Doppel in Mirrors
1 0.7 0.5

Note that Disc factor of Blast is also different in Mirrors. See #Accele, Blast and Charge Damage.

Final Damage

Finally there is some rng added, which causes the final damage dealt to be given by

Final damage = min [max (Adjusted damage, 250) × Random number (0.95~1.05), 9999999]

When Adjusted damage is less than 250, it is set to 250. And when Final damage is more than 9999999, it is set to 9999999.

With thanks to the Japanese Magia Record community wiki for the data formulations.