Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
M:4/4
K:G
['A2 BA', 'GABd efge']  
X:1
L:1/8
M:4/4
K:G
|: DGBG A2 BA | GE E2 cEGE | DGBG A2 BA | GE{G}ED EFGA | B2 Bd A2 BA | GE E2 cEGE | DGBG A2 BA | 
 GE{G}ED E E2 D :: GABd efge | dB B2 dBAB | GABd efge | dBAG EG{A}GF | GABd efge | dB B2 d2 ga | 
 bgag egde | gedB AGEG :|  