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Preheat oven to 400 degrees. Whisk together 3/4 cup cream and egg. In a large bowl, whisk together flour, granulated sugar, baking powder, and salt.
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With a pastry blender or two knives, cut butter into flour mixture until it resembles coarse meal, with a few pea-size pieces of butter remaining. Stir in currants. With a fork, stir in cream mixture until just combined. (The dough should be crumbly; do not overwork.)
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Transfer dough to a lightly floured work surface and pat into a 6-inch circle. Cut into 6 wedges and transfer to a parchment-lined baking sheet. Brush tops with 1 tablespoon cream and sprinkle with sanding sugar, if desired. Bake until golden, 16 to 18 minutes, rotating sheet halfway through.