Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/2
K:Ador
['G2 EG FEDF EGFE DB,A,=C B,E E2', 'edB^c d2']  
X:1
L:1/8
M:2/2
K:Ador
 G2 EG FEDF | EGFE DB,A,=C | B,E E2 GFGA | Beef edBA | G2 EG FEDF | EGFE DB,A,=C | B,E E2 GABA |1 
 GEFD E2 EF :|2 GEFD E2 EB |: Beef edBd | gBfB edB^c | d2 d^c dAFA | dfe^c dAFA | Beef edBd | 
 gBfB edB^c | d2 d2 e2 e2 |1 f3 e dBAd :|2 f3 e dBAF ||  