In a large mixing bowl, sift together the flour, salt, cream of tartar and baking soda. Once sifted, make a small well in the center and whisk in the buttermilk.
On a lightly floured surface, lightly knead the dough and form it into a one inch thick disk, about five to six inches in diameter.
Cut the disk into six equally sized wedges.
Place the wedges into a lightly greased pie plate or other small glass baking dish.
Bake at 400 F for 10 to 12 minutes, or until cooked through in the middle.
Serve Irish soda bread wedges warm with butter and jam.