Incorporate the given motif and use the alphabetical representation of the specified musical sequence to compose a distinctive musical piece.
X:1
L:1/8
M:6/8
K:Dmix
['A3 AG=c AGE D2 E =CDE', 'def ed=c A3 GA=c', '=cAA BAB =cAG DAA =cAA BAG A2']  
X:1
L:1/8
M:6/8
K:Dmix
|: A3 AG=c | AGE D2 E | =CDE Gd=c | A4 z G | A3 AG=c | AGE D2 E | =CDE AGE | D6 ::{/d} d3 def | 
 ed=c A3 | GA=c GA=c | GA=c edc | d3 def | ed=c A3 | GA=c AGE | GED D3 :: DAA =cAA | BAB =cAG | 
 DAA =cAA | BAG A2 G | DAA dAA | =cAA deg | age d=cA | GED D3 :|  