Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/8=320
M:6/8
K:G
['', 'dBG BAG', 'DGG FAF GBd']  
X:1
L:1/8
Q:1/8=320
M:6/8
K:G
 g2 e |: dBG BAG | dBG g2 e | dBG BAG | FAA ABc | dBG BAG | Bdd edc | Bd^c def |1 gfa gfe :|2 
 gdB dBd || g2 e dcB | cBA BGE | DGG FAF | GBd e2 f | gfe dcB | cBA BGE |1 DGG AGA | BGG GBd :|2 
 DGG FAF | GBd gfe ||  