Preheat your oven to 375°F / 190°C. Have your pre-baked pie crust ready on a wire rack.
In a medium skillet over medium heat, melt 1. 5 tablespoons (75 ml / 2.5 fl oz) of the butter.
Add the diced onions and sauté for about 10 minutes, until they are tender and fragrant but not browned.
Remove from the heat.
In a large bowl, whisk the eggs until they are well blended.
Whisk in the buttermilk, minced garlic, basil, thyme, tarragon, oregano, salt, and a few grinds of black pepper.
Stir in the cooked onions.
Sprinkle the grated cheese evenly over the bottom of the pre-baked pie crust. Carefully pour the buttermilk and egg mixture over the cheese.
Cut the remaining 1 tablespoon (15 ml / 0.5 fl oz) of butter into small pieces and dot them over the top of the tart.
Bake for 25 to 30 minutes, or until the center is just set and a knife inserted near the middle comes out clean.
Let the tart cool on a wire rack for at least 20 minutes before slicing. This helps it set up properly.
Serve warm.