Preheat the oven to 350°F. Place the rack in the center.
Butter and flour the cake pans.
Sift the dry ingredients into a small bowl. Set aside.
In a separate bowl, beat butter and sugar with the stand mixer's paddle attachment. Cream on medium speed for 3 minutes or until fluffyand pale.
Scrape down the sides of the bowl. Add one egg at a time andmix on medium-low speed until incorporated.
Add the vanilla bean paste and coffee. Mix on medium.
In another bowl, combine the buttermilk and half and half.
Mix the dry ingredients into the wet ingredients in 4increments, alternating with the buttermilk mixture on low speed. Remember to start and end with the dry ingredients.
Once the batter is combined, turn the mixer off and scrape down the sides of the bowl.
Set the mixer on low and add the black food coloring until you get your desired shade.
In another bowl, combine the vinegar and baking soda. Add it to the batter and beat for 10 seconds on medium speed.
Turn the mixer off and pour the black velvet cake batter into the prepared cake pans.
Bake for 20 to 30 minutes, or do the toothpick test to know if the cake layers are done.
Remove the pans from the oven and allow the cake layers to cool for 10 minutes. Then, remove the cake layers from the pans and coolcompletely on a wire rack before you frost and assemble your cake.