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This unusual coin is warm to the touch and vibrates gently in your hand.
― In-game description

Strange Coins are a form of currency used to purchase items from Xûr during his visits to the Tower or the Vestian Outpost.

Strange Coins can be randomly awarded for completing Public Events with a Gold Rating, completing Crucible matches, completing Weekly Nightfall Strikes, decrypting encrypted engrams, opening loot chests in the Prison of Elders, opening reputation packages, and turning in bounties.

For items that can be purchased with Strange Coins, see Xûr/Possible Merchandise.