Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/16
M:3/8
K:E
['B4 GE D4 FA']  
X:1
L:1/16
M:3/8
K:E
 EG | B4 GE | D4 FA | c2c2AD | E2e2EG | B4 GE | D4 FA | c2c2BD | E4 |]  