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Power numbers from: https://www.gamefaqs.com/boards/672441-shin-megami-tensei-iv/66751506?page=21, which is in turn sourced from https://www34.atwiki.jp/megaten4/pages/284.html, in turn sourced from some strategy guide that I don't the name of
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Additional info from http://megamitensei.wikia.com/wiki/List_of_Shin_Megami_Tensei_IV_Skills
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Damage formula for both phys and gun skills is {(Skill power + (dex + str/2) × 1.5) × auxiliary coefficient × attribute compatibility × weak point correction ÷ average attack number + skill level bonus + correction} × difficulty correction + random number (0 to 15)
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Note the division by average attack number. So, the main benefit of # attacks is more chances to crit, but also see the next note.
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Skill level bonus reaches 23 damage on normal at +8. This is significant for multi-hit moves, since note that division by average attack number is _before_ adding skill level bonus!
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From my own testing, the expected # of hits is just the average of the minimum and maximum number of hits, regardless of # enemies
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Also, since your str/dex stats are added to power, late game an expensive MP skill might not do that much more than a cheaper skill
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Crit rate is something like (0.2%-0.3%) * Lu, at 150ish you should have a 50% crit rate
Source: https://www.gamefaqs.com/boards/672441-shin-megami-tensei-iv/66763926
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Your weapon/gun's power does not impact the damage of physical/gun skills!
Source on that: https://www.gamefaqs.com/boards/672441-shin-megami-tensei-iv/66751506?page=4
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Actual effect chances probably depend on Lu
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MPTargetExpected PowerDescriptionEffect-per-hitNotes
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Lunge6One enemy90Weak damage 1 attackhigh crit% / low hit %
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Oni-Kagura9One enemy150Medium damage 1 attackhigh crit% / low hit %
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Mortal Jihad13One enemy240Heavy damage 1 attackhigh crit% / low hit %
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Critical Wave10All enemies75Weak damage 1 attackhigh crit% / low hit %
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Megaton Press17All enemies135Medium damage 1 attackhigh crit% / low hit %
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Titanomachia30All enemies195Heavy damage 1 attackhigh crit% / low hit %
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Gram Slice5One enemy100Weak damage 1 attack
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Fatal Sword8One enemy160Medium damage 1 attack
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Berserker God12One enemy250Heavy damage 1 attack
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Heat Wave11All enemies80Weak damage 1 attack
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Javelin Rain21All enemies140Medium damage 1 attack
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Hades Blast32All enemies200Heavy damage 1 attack
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Bouncing Claw4One enemy80Weak damage 1-3 attacks
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Damascus Claw7One enemy140Medium damage 1-3 attacks
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Nihil Claw11One enemy230Heavy damage 1-3 attacks
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Scratch Dance9Multiple enemies100Weak damage 1-3 attacks
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Axel Claw15Multiple enemies220Medium damage 1-3 attacks
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Madness Nails26Multiple enemies340Heavy damage 1-3 attacks
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Fang Breaker12One enemy90Weak damage 1 attacklower enemy's attack
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Dream Fist9One enemy90Weak damage 1 attack70% inflict Sleep
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Purple Smoke14Multiple enemies235Medium damage 1-3 attacks70% inflict Panic
More hits means more chances to inflict
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Tetanus Cut11One enemy120Medium damage 1 attack70% inflict Sick
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Blight14All enemies100Weak damage 1 attack60% inflict Poison
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Occult Flash30All enemies120Medium damage 1 attack50% inflict Instant Death
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Binding Claw11One enemy120Medium damage 1 attack50% inflict Bind
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Poison Claw9One enemy120Medium damage 1 attack70% inflict Poison
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Branding Strike20One enemy310Heavy damage 1 attack25% inflict Brand
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Iron Judgment8One enemy120Medium damage 1 attack
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Kannuki-Throw (Uriel DLC)35Multiple enemies600Weak damage 1-15 attacks
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