Most weapons damage formulaes are stat dependant. Some, such as swords, depend on the characters strength stat, while others depend on the magick stat of the weapon.
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DMG = [11 x RANDOM(1~1.125) - DEF] x STR x (Lv+STR)/256]
This formula is for if you have the Brawler licence, or if you have an Amber Armlet equipped (it increases unarmed damage).
DMG = [(Lv+STR)/2 x RANDOM(1~1.125) - DEF] x STR x (Lv+STR)/256]
Maces are the only weapon that completely relies on the characters magic stat.
DMG = [ATK x RANDOM(1~1.125) - DEF] x [1 + MAG x (Lv+MAG)/256]
DMG = [ATK x RANDOM(1~1.125) - MDEF] x [1 + STR x (Lv+STR)/256]
DMG = [ATK x RANDOM(0~1.111) - DEF] x [1 + STR x (Lv+VIT)/128]
These weapons depend on both magick and strength. The higher a level you get, though, the less weighting is magic and depends more so on strength.
DMG = [ATK x RANDOM(1~1.125) - DEF] x [1 + STR x (Lv+MAG)/256]
These depend upon speed and strength. These can give you an edge in battle in earlier levels because the speed stat grows very slowly in comparison to everything else.
DMG = [ATK x RANDOM(1~1.125)]- DEF] x [1 + STR x (Lv+SPD)/218]
DMG = [ATK x RANDOM(1~1.125)]^2
These are unique because they rely solely on the attack power and doesn't rely upon the targets physical or magical defence.
Some things, such as a characters status ailments or a foes elemental type can drastically affect the outcome of an attack. Todo: What are these modifiers, etc, etc.