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:Gmin
['B2 B2 g>e c2 c2 F>^A c>e', 'e>d c>B B2 ^A4 F>^A c>e d>c', 'G2 G2 e>c A2', 'c>B A>G G2 ^F4 D>^F A>c B>A']  
X:1
L:1/8
M:3/4
K:Gmin
 B2 B2 g>e | c2 c2 F>^A | c>e d>c B>^A | B>c d>e f>d | B2 B2 g>e | c2 c2 F>^A | c>e d>c B2 | B4 :| 
 e>d c>B B2 | ^A4 F>^A | c>e d>c B>^A | B>c d>B d>B | e>d c>B B2 | ^A4 F>^A | c>e d>c B2 | B4 :| 
 G2 G2 e>c | A2 G2 ^F>D | E>F G>A B>A | B>c d>B d>B | G2 G2 e>c | A2 A2 D>^F | A>c B>A G2 | G4 :| 
 c>B A>G G2 | ^F4 D>^F | A>c B>A G>^F | G>A B>G B>G | c>B A>G G2 | ^F4 D>^F | A>c B>A G2 | G4 :|  