Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/4=120
M:2/2
K:D
['FAAg f2 ed', 'D G BdGA BGAF GEEG FAAg fgec']  
X:1
L:1/8
Q:1/4=120
M:2/2
K:D
 G | FAAg f2 ed | BdAF GEEG | FAAg f2 ed | BdAG FD D || G | FAAd"^NB1" BdGA | BGAF GEEG | 
 FAAg fgec | dBAG FDD |]  