Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/8=180
M:4/4
K:G
['BAGF GFDE F2 AF CFAF BAGF GFDG', 'gfgd Bcde fefc']  
X:1
L:1/8
Q:1/8=180
M:4/4
K:G
 GA | BAGF GFDE | F2 AF CFAF | BAGF GFDG | cedc BG G2 | BAGF GFDE | F2 AF CFAF | BAGF GFDG | 
 cedc BG G2 |] gfgd Bcde | fefc ABcd | gfgd BGAc | dg g2 bgag | gfgd Bcde | fefc ABce | dBcA DEFG | 
 cedc BG G2 |]  