Place the corn meal, milk, water, and salt into pot; Let stand for 5 minutes. Use a hand strainer to remove the pieces that have floated to the top. Heat over medium-high heat whisking often and bring to a boil. Once the mixture starts to thicken you can decrease the heat to low and cover. Remove lid and whisk often (every 3 to 4 minutes) to prevent grits from sticking or forming lumps. Cook for 25 to 60 minutes or until mixture is creamy. Turn the stove off and add the pepper and butter. Mix well and allow the butter to melt. Slowly mix in the cheese a little at a time. It's done; eat up!!