Design a music composition that incorporates the given motif, while maintaining the essential musical format.
X:1
L:1/8
M:4/4
K:Dmin
['d2 e2 f2 e2', 'defg a4 dfed ^c2 A2'  
X:1
L:1/8
M:4/4
K:Dmin
 d2 e2 f2 e2 | dfed ^c2 A2 | d2 e2 f2 e2 | defg a4 :: g2 ga g2 g2 | g2 ga g4 | g2 fg a2 g2 | 
 f4 e4 | defg a4 | dfed ^c2 A2 | defg a4 | dfed ^c2 A2 | a2 ga bagf | e4 d4 :|  