Develop a musical composition by integrating the alphabetically represented musical pattern and the supplied melodic theme.
X:1
L:1/8
Q:1/2=80
M:2/2
K:G
['g dBAG cAGF', 'A2 c2 B2 d2 A2']  
X:1
L:1/8
Q:1/2=80
M:2/2
K:G
 g | dBAG cAGF | Ggfe"^cr" d3 g | dBAG cAGF | G2 B2 G2 z2 :: A2 c2 B2 d2 | A2 c2 B2 d2 | 
 A2 A>c B2 B>d | dcBA G2 z2 ::  