Bring 4 quarters water to a rolling boil in a large pot.

Combine 1⅓ cups of the cream and the butter in a sauté pan large enough to accommodate the cooked pasta. Heat over low heat until the butter is melted and the cream comes to a bare simmer. Turn off the heat and set aside.

When the water comes to a boil, add 1 tablespoon salt and the pasta to the boiling water and stir to separate the noodles. Cook until almost al dente. Drain the pasta and add it to the sauté pan. Add the remaining ⅓ cup cream, the parmesan, ½ teaspoon salt, pepper to taste, and the nutmeg. Cook over very low heat until the sauce is slightly thickened, 1 to 2 minutes. Serve the fettuccine immediately in heated pasta bowls.

Measure out the flour into a large bowl. Make a well in the center and add the eggs. Use a fork to break up the eggs slightly. Use a rubber spatula to mix the eggs into the flour until the dough is smooth. If it’s sticky, knead in more flour. If it’s too dry to mix in all the flour, knead in water ½ teaspoon at a time until the dough comes together.

Divide the dough into 6 portions. Spread dry kitchen towels under the pasta roller and over the counter. Set the pasta machine at its widest opening. Working with one portion of dough at a time and keeping the others covered, roll the dough through the pasta roller. Fold it in thirds like a letter and roll it through the wide setting again. Repeat four more times, adding flour as needed to prevent the dough from sticking to the machine.