Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:6/8
K:D
['FAA dAA', 'A2 a agf']  
X:1
L:1/8
M:6/8
K:D
 FAA dAA | BAG A2 G | F2 A DAA | G2 A FED | FAA dAA | BB/A/G A2 G | FAA DAA | GEC D2 :| dBA A2 a | 
 agf g2 a | fdA FAA | G2 A FED | dc/B/A A2 a | agf gag | fdA FAA | GEC D2 :|  