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Lets say my sigilyph used calm mind, it gets a 1.5 SAtk boost right? then he uses stored power the next turn which says that the increase of damage depends on how much boost in stats the user has. So my question is, will stored power get boosted more than 1.5 percent?

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Calm Mind boosts SpAtk and SpDef one stage each. So the base power for Stored Power would now be:

20 × NumIncreases + 20 = 60

Plus the special attack boost:

(20 x 2 + 20) x 1.5 = 90

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