Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:4/4
K:Bb
['edcA BFBd GBFD', 'DFB,F BFdB c2']  
X:1
L:1/8
M:4/4
K:Bb
 f | edcA BFBd | GBFD C2 Cf | edcA BFBd | GBFD B,2 B, :| E | (DE/F/) B,F DFB,F | BFdB c2 (cd) | 
 (D/E/F) (B,F) DFEG | FBAc B2 (Bd) | (DE/F/) (B,F) DFB,F | BFdB c2 (ce) | dfeg fBdB | AFGA B2 B ||  