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:4/4
K:G
['adbd ed (3^cde']  
X:1
L:1/8
M:4/4
K:G
 (3DEF | GFGD ED (3CB,A, | G,B,DG BGAB | c2 cA ^c2 cA | dafd cB (3ABc | Bdgd adbd | 
 ed (3^cde dbgd | ^cdef gABc | da (3gfe d3 ^d | ec (3Bcd cGEC | dB (3ABc BGDB, | A,^CEA ^ceag | 
 gffe d2 dc | (3Bcd gd adbd | ed (3^cde dBGB | cA (3^cde abag | (3fed (3cBA G4 |]  