Design a music composition that incorporates the given motif, while maintaining the essential musical format.
X:1
L:1/8
M:4/4
K:C
['D2 DD F2']  
X:1
L:1/8
M:4/4
K:C
 D | D2 DD F2 D2 | ^FA A2 A2 z F | D2 DD F2 G2 | A2 AA A2 ^F2 | D4 F2 GG | AA A2 (AG) ^F2 | 
 D4 (AG) F2 | D4 z2 z ||  