Crack eggs in a small mixing bowl and whisk until the yolks and whites are combined and no large streaks of each either is present. Beat in the salt, pepper, and cheese.

Slowly melt half a tablespoon of butter in a pan over low heat and add whisked eggs. Using a rubber spatula begin to push eggs towards the center of the pan.

Keep eggs moving towards the center from all sides. Flip and fold as necessary. Halfway through cooking, add the remaining butter. Allow eggs to firm up to desired consistency. Remove from pan immediately.