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Beat together the buttermilk, egg and sugar.
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Mix 3 cups flour together with the baking powder, soda and salt.
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Add about 2/3 of the flour mixture to the buttermilk and stir well.
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Gradually add the melted butter, incorporating it thoroughly into the mixture.
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Stir in the remaining flour mixture and the currants.
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A little more flour may be necessary to form a stiff dough.
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Turn the dough out on a lightly floured surface and knead for several minutes.
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Separate it into 3 equal parts.
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Shape each part into a thick circle about 4-5 inches across.
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Cut the circles into quarters with a sharp knife, and arrange the scones on a buttered cookie sheet (I use a baking stone).
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Bake in preheated 400 degree oven for 20-25 minutes or until lightly browned. (watch them so they don't dry out!).
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Serve warm, or cold if you can wait that long.