Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/4
M:3/4
K:F
['c c']  
X:1
L:1/4
M:3/4
K:F
"^1" F G E | F3 |"^2" A B G | A3 |"^3" c c c | c A F |"^4" C D E | F3 |]  