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This article covers information on the damage that can be delivered and received during battle. The formulas vary between games.

Overview

Shin Megami Tensei III: Nocturne

Physical Attack

Weapon Attack

Magic Attack Peak

Magic Attack

If user's level is below peak:

If user's level is at peak:

If user's level is above peak, but below 160:

If user's level is above 160:

Megami Ibunroku Persona

Party Regular Attack

Party Physical Skills

Gun Damage

Enemy Regular Attack

Enemy Physical Skills

Magic Damage

Persona 5 / Royal

Attack Power

Melee and Gun Attacks

If the user is inflicting a basic melee or gun attack, the related weapon and the user's Strength stat will be taken into account.

The formula multiplies the square root of the user's weapon power and the square root of the user's Strength stat by each-other. Whether the weapon is melee or ranged ultimately depends on the type of attack that is being used. The formula is as follows:

When the user's Strength stat is doubled, the modifier will be multiplied by approximately 1.4.

If the user's Strength stat is at the maximum of 99, the damage total of the attack will be nearly multiplied by x10 compared to a Strength stat of 1.

Strength Attacks

If the user is wielding a physical skill, the base power of the skill and the user's Strength stat are taken into consideration.

Similarly to Melee and Gun attacks, the base power of the skill is multiplied by the square root of the Strength stat. The formula is as follows:

If the user's Strength stat is at the maximum of 99, the damage total of the skill will be nearly multiplied by x10.

Magic Attacks

If the user is casting a magic skill, the power of the attack and the user's Magic stat will be used to calculate the attack power.

The calculation considers the base power of the attack first, which is the foundation of the formula, and then calculates a multiplier using the Magic stat. The formula is as follows:

Every 30 stat points boost the power of the attack by 100%:

  • If the user's Magic is at 15, the base power will be multiplied by x1.5;
  • If the user's Magic is at 30, the base power will be multiplied by x2;
  • If the user's Magic is at 60, the base power will be multiplied by x3, and so on.

If the user's magic stat is at the maximum of 99, the damage total of the attack will be multiplied by x4.3.

Defense Subtraction

After the total power of the attack has been calculated, it is divided against the square root of the sum of the target's armor defense and their Endurance stat. The formula is as follows:

If the defense and endurance stats are doubled, the damage taken will be multiplied by approximately x0.7.

Miscellaneous Modifiers

There are several other criterion that factor in affecting the damage output of attacks besides the user's stats, weapon and attack power. These include Critical hits, Technical attacks, the effects of certain status status ailments, the target's elemental resistance or weakness against the attack, Baton Pass, temporary buff and debuff skills, certain passive skills and traits, whether the target is Guarding or not, the difficulty setting, and so on.

One unique factor in damage calculation is that certain types of Passive buff skills, such as Fire Boost, Fire Amp and Magic Ability, and the trait Pagan Allure, although they can stack with each-other to boost damage (via multiplication), the multiplier is capped to x2. However, the limitation only applies to said passive abilities, with the exception of Tyrant's Mind and the Country Maker trait, which ignore the limit.

One important factor would be the Level difference between the attacker and the opponent. There is no change if the attacker is 4 levels lower or 1 level higher than its target, but the attack power will gradually be multiplied over time, with 10 levels and higher being capped at x1.5. Otherwise, if the attacker is 15 levels lower or more, their power will be x0.004.

The same applies for the damage taken as well. There is no change if the target is 2 levels lower and 3 levels higher, but the defense will increase if the target's level is higher, where at 10 levels or more, the damage will be x0.004, but at 10 levels less, the damage will be multiplied to x1.5.

For the protagonist, the level calculated is his own, rather than the one of his equipped Persona.

The final calculation is randomized between numbers that are close to the default result. The variance is approximately 5% (can be 5% smaller or larger at most.)


Franchise-wide
Demon - Magic (Fusion Spell) - Battle Stats - Damage - Accuracy - Experience - Level - Guard - Element - Signature Skills - Extra Skills - Critical - Status effects - Macca - Yen - Battle Drops - Magnetite - Incense - Alignment - Moon Phase System - Demon Summoning Program (COMP) - Cathedral of Shadows (Fusion - Skill Inheritance - Accidents / Special / Three-demon / Sacrificial / Sword) - Demonic Compendium - Evolution - Special conversation - Rag's Jewelry - Code Breaker - Turn Press - New Game Plus - Ultimate boss - Streetpass - Password - Difficulty - Skill Mutation - Energy Drain
Shin Megami Tensei series
Terminal - Guardian (if...) - Capacity (NINE) - RTS (NINE) - Reinforcements (NINE) - Race Shift (NINE) - Modules (NINE) - Magatama (3) - Reason (3) - Demon Co-Op (SJ) - EX Missions (SJ) - Challenge Quest (4) - Whisper event (4) - Smirk (4) - Barrier (4) - Partners (4A) - Magatsuhi Skills (5) - Miracles (5) - Essence (5)
Devil Summoner series
Loyalty - Personality - Mystic Change - Nemechi (SH) - Case Files (RKKA)
Majin Tensei series
Rank - Affinity (2) - Arcana (Ronde)
Persona series
Shadows / Personas (Initial / Prime / Ultimate / Ancestor / Reverse / Sub) - Skill Card - Totem (1) - Type/Subtype (1+2) - Affinity (1+2) - Rank (1+2) - Mystic Change (1+2+5) - One More (3-5) - Growth Rate (1+2) - Unknown Power (1+EP) - Personality (1+2, 5) - Material Card (2) - Mutation (2) - All-Out Attack (Cut-in) - Heart Item (3) - Shuffle Time (3+4) - Daily Life (3-5) - Calendar (3-5) - Social Stats (3-5) - Social Link (3+4) - Tactics (3-5) - Requests (3-5;Q+Q2) - Arcana Chance (4) - Forecasts (Fusion / Weather) (4+5) - Boost (Q+Q2) - Power Spot (Q+Q2) - F.O.E (Q+Q2) - Confidant (5) - Technical (5+5S) Treasure Demon (5+5S) - Party Switch (5+5S) - Disaster Shadow (5R) - Fusion alarm (5R) - Persona Traits (5R) - Third Eye (5+5S) - Master Arts (5S) - BOND (5S) - Persona Points (5S)
Devil Children series
Trainer - Bank - BattleNet - Relic Fusion - Power Fusion - Powers
Digital Devil Saga series
Berserk Mode (2)
Devil Survivor series
Devil Auction - Extra Turn Battle - Skill Crack - Titles (DSO / DS2 / RB) - Fate System (2) - Add-On (2)
Other
Equip Type (GMT:TM) - Skill Systems (GMT:TM) - Sword Exchange (GMT:TM) - Class Change (TMS♯FE) - Topic System (TMS♯FE) - Side Quests (TMS♯FE) - Ad-lib Performance (TMS♯FE) - Session (TMS♯FE) - Dual Arts (TMS♯FE)
Characters
Playable Protagonist - Morgana - Ryuji Sakamoto - Ann Takamaki - Yusuke Kitagawa - Makoto Niijima - Futaba Sakura - Haru Okumura - Goro Akechi - Sumire Yoshizawa
Confidant Igor - Sojiro Sakura - Chihaya Mifune - Munehisa Iwai - Tae Takemi - Sadayo Kawakami - Ichiko Ohya - Shinya Oda - Hifumi Togo - Yuuki Mishima - Toranosuke Yoshida - Caroline & Justine - Sae Niijima - Takuto Maruki
Major Targets Suguru Kamoshida - Ichiryusai Madarame - Junya Kaneshiro - Shadow Futaba - Kunikazu Okumura - Masayoshi Shido - Holy Grail / Yaldabaoth - Azathoth / Adam Kadmon
Other Principal Kobayakawa - SIU Director - Shiho Suzui - Natsuhiko Nakanohara - Mika - Lala Escargot - Angel and Julian - Medjed - Wakaba Isshiki - Sugimura - President Tanaka - Kazuya Makigami - Naoya Makigami - Shadow Mishima - Shinichi Yoshizawa - Rumi - Shibusawa - Jose - Kasumi Yoshizawa - Coach Hiraguchi
Locations
Tokyo Yongen-Jaya (Café Leblanc) - Shibuya - Aoyama-Itchome (Shujin Academy) - Shinjuku - Akihabara - Kichijoji - Ogikubo - Inokashira Park - Tsukishima - Akasaka Mitsuke - Suidobashi - Odaiba Seaside Park - Ichigaya - Ikebukuro - Ginza - Harajuku - Meiji Shrine - Jinbocho - Miura Beach - Maihama (Tokyo Destinyland) - Kanda - Roppongi - Ueno - Asakusa - Chinatown - Nagatacho - Shinagawa - Nakano - Kosei High School
Palace Kamoshida's Palace - Madarame's Palace - Kaneshiro's Palace - Futaba's Palace - Okumura's Palace - Niijima's Palace - Shido's Palace - Mementos (Path of Qimranut - Path of Aiyatsbus - Path of Chemdah - Path of Kaitul - Path of Akzeriyyuth - Path of Adyeshach - Path of Sheriruth - Depths of Mementos - Qliphoth World - Path of Da'at) - Maruki's Palace
Other Velvet Room - Hawaii - Thieves Den
Music
Albums Original Soundtrack (Persona 5 / Royal (JP / EN))
Songs "Wake Up, Get Up, Get Out There" - "Life Will Change" - "Beneath the Mask" - "Last Surprise" - "Rivers in the Desert" - "The Whims of Fate" - "Tokyo Daylight" - "Hoshi To Bokura To" - "Break In To Break Out" - "Infinity" - "Dark Sun..." - "Autonomy" - "Found a Light" - "IT'S TOO LATE" - "Colors Flying High" - "Take Over" - "He's a Trickster☆" - "I Believe" - "No More What Ifs" - "Throw Away Your Mask" - "Our Light"
Archives
Story Persona - Persona user - Shadow - Shadow Self - Second Awakening - Picaro Persona - I am thou - Cognition - P. A. D. - Metaverse - Metaverse Navigator - Mask - Wild Card - Phantom Thieves of Hearts - Phantom Aficionado Website - Antisocial Force - Treasure - Police - Calling Card - Change of Heart - Psychotic breakdown - Mental shutdown - General Public - Seven Deadly Sins - Sea of Souls - Bond - Featherman
School Life Daily Life - Activities - Calendar - Weather - Seasons - Confidant - Social Stats - Yen - Hideout - Class - Train - Invitations - Gifts - Bathhouse - Studying - Diner - Cleaning - Maid Café - Billiards - Books - DVDs - Retro Games - Movie theater - Big Bang Challenge - Gigolo Arcade - Bed - Batting Cage - Fishing Pond - Crossword Puzzle - Darts - Infiltration Tools - Cooking - Training - Old Temple - Laundry - Part Time Jobs - Shrine - Confessional - Jazz Jin - Houseplant - Refrigerator - TV Quiz Show - Blackboard - Vegetariano - Lottery - Cultivation - Fortune Telling - Decorations
Vendors Shops: (Persona 5 / Royal) - Vending machines - Takemi Medical Clinic - Untouchable - Jose's Shop - Home Shopping Program - Tanaka's Shady Commodities
Phantom Life Mementos Requests - Third Eye - Security Level - Search Objects - Treasure Chests - Treasure Demon - Safe Room - Thieves Guild - List of Shadows - List of Bosses - Skill Card - Will Seeds - Deviations
Battle Items: (Persona 5 / Royal) - Skills: (Persona 5 / Royal) - Party - Battle Stats - Damage - Accuracy - Experience - Level - Difficulty - Status Changes - Element - Traits - Navigator - Tactics - Guard - Follow Up - Harisen Recovery - Endure - Protect - Pickpocket - Party Switch - Baton Pass - One More - Critical - Technical - Showtime - Cut-in - All-Out Attack - Hold Up - Personality - Battle Drops - Game Over - Disaster Shadow
Velvet Room List of Personas: (Persona 5 / Royal) - Fusion - Special Fusion - Hanging - Lockdown - Electric Chair - Arcana - Skill Inheritance - Fusion Accident - Fusion alarm - Challenge Battle
System Trophies: (Persona 5 / Royal) - Cutscenes - New Game Plus - Patches and Updates
Unused Content: (Persona 5 / Royal)
Development
Corporate Atlus Co., Ltd. - Sega
Personnel Katsura Hashino - Shigenori Soejima - Shoji Meguro - Lyn Inaizumi - Atsushi Kitajoh - Ryota Kozuka - Kenichi Tsuchiya - Toshiki Konishi - Kazuhisa Wada - Lotus Juice
Other Media
Games Royal - Dancing in Starlight - Strikers
Productions Persona 5 The Animation The Day Breakers - Persona 5 The Animation (Episodes) - Persona O.A. - Persona 5 The Night Breakers - Persona Stalker Club V - PERSORA AWARDS 3 - Persora -The Golden Best 5- - Persona 20th Anniversary All Time Best Album - Persona 5 The Stage
Publications Manga - Dengeki Comic Anthology - Comic à La Carte - Comic Anthology (DNA Media Comics) - Tartarus Theater Wild - the Animation Dengeki Comic Anthology - Mementos Mission - Persona Magazine
Events Super Live 2015 - Super Live 2017 - Super Live 2019 - TGS 2021 - 25th Anniversary Symphonic Concert
20th Anniversary Festival - 25th Anniversary
Take Tokyo Tower - E3 2016 - Take the Treasure
Miscellaneous Merchandise
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