Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/8
M:3/4
K:G
['DG G3 F Ec c3 a gfedcF']  
X:1
L:1/8
M:3/4
K:G
 D2 | DG G3 F | Ec c3 a | gfedcF | G2 BD G2 | DG G3 F | Ec c3 a | gfedcF | G4 |]  