Preheat oven to 375 degrees F. Spray six standard-size baking cups with cooking spray.
In a large bowl, use a whisk to combine the flours, sugar, baking soda, baking powder, and salt. Cut in the butter until the mixture is crumbly.
In a small bowl, use a whisk to lightly beat the buttermilk and egg together. Slowly stir the buttermilk mixture into the flour mixture until just combined.
Combine the currants with ½ T. of flour and mix into the dough. It will be sticky.
Dump the dough onto a well-floured countertop and knead it a few times and shape into a round loaf. Using a sharp knife, cut the dough into six equal pieces. Shape each piece of dough into a round ball and place one dough ball into each prepared baking cup.
Bake for about 20 minutes, or until a toothpick comes out clean. When you tap the muffins they should have a hollow sound.
Cool on a wire rack.