Compose a piece of music that features the provided musical motif as a core component.
'Sectional: Through Composed'  
X:1
L:1/8
Q:1/4=120
M:6/8
K:D
"^Lively" A |: A2 d def | dcB A2 |1 F | A2 d def |{a} gfe fdB :|2 G | F2 D GEC | D2 D D2 |] D |: 
 (DFA) (ABc) | GFE |1 (E2 F) | (DFA) (ABc) | d3 (F2 E) :|2 EFG | dAF GEC | D2 D D2 |]  