Yeah, you're on target. You only need five hearts for the first sword upgrade. After that, I think it's once you get twelve hearts, you get the White Sword

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Sheikahchica is my amazing ZU girlfriend <3 | Thank you to Blackfeather for the beautiful sig. And Karma for the adorable avy.

DK : "I thought you were taller than that. It's going to be much easier to wrestle you to the ground in a completely homosexual way when I see you."