Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:6/8
K:G
['BGG Add B3', 'GBd g3', 'ABA GBB BAG BdB cBA GBB B2']  
X:1
L:1/8
M:6/8
K:G
|: BGG Add | B3 BAG | BGG ADD | GAG GED | BGG Add | B3 ABc | dge f2 d | cAF G3 :: GBd g3 | 
 fed cAF | GBd g3 | faf g3 | faf g2 e | fed cAG |1 B3 BAG | BdB cAF :|2 faf gfe | d3 dcA |: 
 GBB B2 d | c3 ABA | GBB BAG | BdB cBA | GBB B2 d | c3 ABc | dge f2 d | cAF G3 :|  