Prepare the filling: In a large skillet, heat 1 tablespoon olive oil over medium-high heat, and add the ground beef. Break up with a wooden spoon, and saute until evenly browned, 10 minutes. Transfer to a bowl. Wipe out the pan, return to medium heat, and add 2 tablespoons olive oil. Add the onions, and cook for 8 minutes, until they are translucent and begin to soften. Add in the turmeric and cook for 2 minutes longer. Add the ground beef back in. Add the remaining 1 ½ tablespoons of salt, pepper, cinnamon, and dried savory spice. Mix well, and cook for 2 minutes to incorporate the flavors.