Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
M:3/4
K:G
['DFAc B2G2 B4 BdBG AcAF G2DB, G,2>g2', 'DEFG F2AF G2BG cDcD BDBD', 'DEFG F2AF G2BG cDcD BDBD']  
X:1
L:1/16
M:3/4
K:G
|: DFAc B2G2 B4 | BdBG AcAF G2DB, | G,2>g2 f2d2 f4 | fafd ege^c d4 :: g2G2 G2AB cdef | 
 g2B2 dcBc A4 | DEFG F2AF G2BG | cDcD BDBD AGFE | DEFG F2AF G2BG | cDcD BDBD A4 | gbgd dgdB BdBG | 
 AcAF G4 G,4 :: G4 G2B2 B2d2 | d2g2 b2g2 d2B2 | G2AB c4 e4- | e2A2 A2BA GFED | DEFG F2AF G2BG | 
 cDcD BDBD AGFE | DEFG F2AF G2BG | cDcD BDBD A4 | gbgd dgdB BdBG | AcAF G4 G,4 :|  