Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/16
M:2/4
K:D
['A4 GFED G2B2B2A2', 'e4 dcBA']  
X:1
L:1/16
M:2/4
K:D
 A4 GFED | G2B2B2A2 | d2cd edcB | A2G2G2F2 | A4 GFED | G2B2B2A2 | d2F2 EFGB | A2C2 D4 :: e4 dcBA | 
 d2f2f2e2 | fdcB ecBA | ^G2A2B2E2 | e4 dcBA | f2a2a2f2 | e2(dc) B2e2 | c2A2 A4 :|  