Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/8
M:6/8
K:G
['BAB GEF G2 A', 'g2 g fed']  
X:1
L:1/8
M:6/8
K:G
 e | dBB BAB | GEF G2 A | B2 e dBA | Bde gfe | d2 B BAB | GEF G2 A | Bee dBA | BGF GBd :: 
 g2 g fed | Bee efg | g2 g fed | Bdd d2 e | g3 fed | Bdd def | g3 eag | fef g3 :|  