Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:6/8
K:G
['DGG GFG B3 cBc', 'G2 f gdf gdf gdc BAG G/A/de']  
X:1
L:1/8
M:6/8
K:G
 A/F/ | DGG GFG | B3 cBc | d/c/Bd c/B/Ac | B/A/GB AFD | DGG GFG | B3 cBc | d/e/fd cAF | AGG G2 :: 
 f | gdf gdf | gdc BAG | G/A/de f2 c | AFA cBA | GAd/e/ g2 g | fed efe | def/d/ cAF | AGG G2 :|  