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
['cBAG EGDE G2 GA B<G G2 cBAG', 'c2 ce']  
X:1
L:1/8
M:2/2
K:Ador
 cBAG EGDE | G2 GA B<G G2 | cBAG EG D2 | edcB c<AAB :: c2 ce dcde | c2 ce dB G2 | cBce d2 cd | 
 edcB c<AAB :|  