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:A
['Eeeeee ec/e/ dB/d/ cA Aa a/g/f/e/ d/c/B/A/', 'A>a fd d2 c>f ec c2 B>f']  
X:1
L:1/8
M:3/4
K:A
 Eeeeee | ec/e/ dB/d/ cA | Aa a/g/f/e/ d/c/B/A/ | AA/A/ A/G/F E2 | Eeeeee | ec/e/ dB/d/ cA | 
 Aa a/g/f/e/ d/c/B/A/ | GE/G/ B2 A2 ::[M:2/4] EG/B/ dB/G/ |[M:3/4] Ac/e/ ae/c/ A2 | 
[M:2/4] EG/B/ dB/G/ |[M:3/4] Ac/e/ ae/c/ A2 | A>a fd d2 | c>f ec c2 | B>f dc BA | AA/A/ A/G/F E2 | 
 A>a fd d2 | c>f ec c2 | B>f dc BA | GE/G/ B2 A2 :|  