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As some catalysts are meant to be used at lower levels (Oolacile, for example), they will reach their optimal scaling level sooner than those meant to be higher level catalysts (Logan's). Specifically, they have different: base Mag Adj, max Mag Adj, and scaling. Be aware that the Mag Adj on different catalysts will scale differently. The higher the Mag Adj, the stronger the spell's effect (note: some spells, such as Chameleon, are not affected by this stat).
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Its potency scales with the relevant character Stat (Intelligence, Int or Faith, Fth). Magic Adjustment (Mag Adj) is a special stat unique to spell casting weapons, and determines the amount of damage spells will do. Talismans are a Weapon Category that enables players to cast Miracles in Dark Souls and Dark Souls Remastered.
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