Pulse flour and 1 tsp salt in a food processor.
Whisk 4 eggs and water; slowly add to the processor until dough forms.
Continue for 1-2 minutes.
Knead for 4-5 minutes, form a ball, wrap in plastic, and let rest for 1 hour.
Combine ricotta, 1 egg, 1/2 cup Pecorino, Parmesan, 3/4 tsp salt, and 3/4 tsp pepper and set aside.
Divide dough into 8 pieces, keeping unused portions wrapped.
Roll one piece into a rectangle and feed through a pasta machine, reducing settings until the smallest.
Outline ravioli on half the pasta sheet with a 2-inch cutter.
Place a tablespoon of filling on each outline, wet edges with an egg-water mix, fold dough over, seal, and cut. Repeat.
Boil salted water, cook ravioli until they float (3-4 minutes).
Melt butter in a skillet over medium heat, add black pepper and 1/4 cup pasta water, simmer 1 minute.
Add ravioli, toss with cheese, and adjust with more pasta water if needed.
Season with salt and pepper, garnish with Parmesan.