Preheat the oven to 350˚. Whisk the eggs, 1/4 cup yogurt, the dill, turmeric, 1/2 teaspoon salt and a few grinds of pepper in a large bowl. Heat 3 tablespoons olive oil in an 8-inch ovenproof nonstick skillet over medium heat. Add the scallions and cook, stirring, until softened, about 30 seconds. Pour in the egg mixture. As the edges start to set, scrape them with a rubber spatula and push the cooked egg toward the middle of the pan. Continue doing this until the eggs are about half cooked, 2 to 3 minutes, then stop stirring and let the edges set, about 30 seconds. Sprinkle the feta on top.
Transfer the skillet to the oven and bake until the frittata is set and just a little soft in the middle when pressed, 13 to 15 minutes. Let cool in the skillet for a few minutes, then slide out onto a cutting board.
Meanwhile, slice the cucumbers and toss with 1/4 teaspoon salt in a medium bowl. Let sit 5 minutes, then drain off any liquid. Stir in the remaining 1/4 cup yogurt and the lemon juice. Season with salt and pepper.
Warm the pitas in the oven, about 3 minutes; tear into quarters. Cut the frittata into wedges and divide among plates along with the cucumber salad and pita. Top the cucumber salad with the remaining 1 tablespoon olive oil and the pomegranate seeds.