Drum fills are a way of “filling time” during a short break in a rock or pop song, usually using a rapid sequence of notes played in succession across multiple drums in a drum kit. Considering the common configuration known as a five-piece kit, we see that moving from one drum to another is considerably easier in some combinations than others. We construct a set of rules to model patterns which avoid these difficult transitions, and then construct and solve recurrence relations to count the number of n-beat patterns which fit the rules. Variations on the theme are provided by varying the durations of notes and the numbers and types of drum allowed.