Design a music composition that incorporates the given motif, while maintaining the essential musical format.
X:1
L:1/8
M:4/4
K:D
['D2 FD', 'd2 fd'  
X:1
L:1/8
M:4/4
K:D
 D2 FD FAdA | BAdA BAdA | D2 FD FAdf | gfeg fedB | D2 FD FAdA | BAdA BAdf | g2 ge f2 fd | 
 fgfe B2 A2 :: d2 fd Adfa | gefd edbc | d2 fd Adfa | gAfA eAfA | d2 fd e2 ge | f2 af g2 bg | 
 agfa gfeg | fedc d4 :|  