Preheat the oven to 400 degrees. Line a baking sheet with parchment paper or a silpat.
Combine flours, butter, sugar, salt, baking powder and baking sugar in a stand mixer fitted with the paddle attachment. Mix on medium speed until mixture is the size of peas and butter is thoroughly incorporated.
In a small bowl whisk together all remaining ingredients except pomegranate arils. Pour wet ingredients into stand mixer and mix together on medium speed until incorporated and almost forming a ball of dough. Fold in pomegranate arils carefully.
Turn dough out onto a floured surface and knead a few times to create a ball. Place ball of dough on lined baking sheet and form into a circle about 1/2 an inch thick. With a knife, slice into 8 triangles but do not cut fully through the dough.
Bake for 18-20 minutes unil just golden on top. Let cool for a few minutes before carefully pulling apart slices. Best served warm.
Notes
If you don't have buttermilk on hand you can make your own. I used 1/2 cup 1% milk and 1/2 tablespoon lemon juice. Let it sit for a few minutes before combining with other wet ingredients.