Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:Ador
['A2 Bd', 'a2 ea']  
X:1
L:1/8
M:4/4
K:Ador
 A2 Bd edBA | GFGA GE D2 | A2 Bd edBd | egdB BA A2 :| a2 ea agef | g2 dg Bgdg | a2 ea agab | 
 gedB BA A2 | agab agef | g2 af gedB | dega bgaf | gedB BA A2 |]  