Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:3/4
K:C
['c2 cede', 'C2 ECEG B,2 EB,EG A,2 CA,CE']  
X:1
L:1/8
M:3/4
K:C
 cd | e2 eede | c2 cede | c2 cede | cdedcB | A2 AABc | G2 GGBc | F2 FABc | d2 ddcd | e2 eede | 
 c2 cede | c2 cede | cdedcB | A2 AABc | G2 GABc | d2 edcB | c3 GED || C2 ECEG | B,2 EB,EG | 
 A,2 CA,CE | DDEDCB, | C2 ECEG | B,2 EB,EG | A,2 CA,CE | D4 CD | E2 _AE_AB | cdcBAB | G2 BGBd | 
 efedcB | A2 AABc | G2 GABc | d2 edcB | c4 ||  