Combine feta cheese, yogurt, mayonnaise, lemon juice, lemon zest, and garlic in a food processor and mix until well blended and smooth.
Add dill, basil, and pepper, salt and pulse to combine.
Transfer to a serving bowl and sprinkle lightly with sesame seeds for garnish.
Notes
This dip will firm up in the fridge, so let it sit at room temp for a half hour before serving.Serve with pita wedges, pita chips or even sliced vegetables!