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
['D2 B{c} BAG BdB A2 B GED', 'G2 A']  
X:1
L:1/8
M:6/8
K:G
 D2 B{c} BAG | BdB A2 B | GED G2 A | B(4:3:4d/B/A/B/ AGE | D2 B{c} BAG | BdB A2 B | GED G2 A |1 
 BG^F G2 E :|2 BG^F GBd |: (ve2{g^f} e) edB | (ve2{g^f} e) edB |{c} d3 de^f |{^f} g^fe dBA | 
 G2 A B2 d | (e/f/g) e dBA | GED G2 A |1 BG^F GBd :|1 BG^F G3 |]  