Preheat oven to 425°. Prepare baking sheet with parchment paper or silicon baking sheet.
Place flour, sugar, baking soda, baking powder, and salt in food processor. Pulse to combine.
In separate bowl, mix buttermilk and 1 egg. Set aside.
Cut the chilled butter into cubes and place in the food processor. Pulse until butter is combined as small pea size pieces.
Add buttermilk and egg mixture. Pulse until begins to form dough ball.
Add chopped ham, shredded cheese, and chopped dill. Pulse to combine but do not over mix.
Turn dough out onto lightly floured surface. Knead 1-2 times to further combine and shape into an 8 inch round. Cut into triangles. This recipe will yield 8 large scones or 12 smaller scones.
Take second egg, beat slightly and use as an egg wash on the scones.
Place the scones on the prepared baking sheet. Bake for 15-20 minutes.
Remove from over when golden brown.
Cool on rack. °