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:G
['dB B2 gabg abge', 'GA BddB']  
X:1
L:1/8
M:4/4
K:G
|: B3 e dB B2 | gabg abge | d2 Bd gedB | A2 GB ABGA | Bdde dB B2 | gabg abge | dGBd gedB | 
 GBAF G2 GA :: BddB A2 BA | GEDE GABd | eaaf gedB | GBdB A2 GA | BddB AdBA | GEDE GABd | 
 bgaf gedB | GBAF G4 :|  