Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:D
['FG A2', 'd4 f2 dd B2 AA BA FD']  
X:1
L:1/8
M:4/4
K:D
 FA A2 FG A2 | F>G AB E3 G | FG A2 Bc d>d | cd ec d4 :: f2 dd B2 AA | BA FD E3 G | FG A2 Bc d>d | 
 cd ec d4 :|  