Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
Q:1/4=75
M:6/8
K:F
['C E G B2 B']  
X:1
L:1/8
Q:1/4=75
M:6/8
K:F
 C F G A2 A | (AF) G A3 | A C A (GC) G | (F3 F2) z | F B c d2 d | (dc) =B c3 | c G c (dG) d | 
 (c3 c3) | C E G B2 B | (AB/) (c/B/) A3 | C E G B2 B | (A>B) (c/B/) A3 | c c c (AG) F | (FG) F d3 | 
 c A F C2 c | (c3 c3) |]  