Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:2/2
K:G
['(3(DEF G3) A']  
X:1
L:1/8
M:2/2
K:G
|: GE |"G" D2 (3(DEF G3) A | (BG)Bd (cB)AG |"D" (FG)EF (DE)FG | AFdF E2 (GE |"G" D2) (3(DEF G3) A | 
 (BG)Bd"C" (ef)ge |"G" (dc)BA"D" (GF)GA |"G" B2 G2 G2 :: (3GBd |"G" g2- gf (gb)ag |"D" f2 d2 fagf | 
"C" (ed)ef gfed |"Em" B2 e2- egfe |"G" (dB)GB d2 Bd |"C" (ed)ef g2 fe |"G" (dc)BA"D" (GF)GA | 
"G" BGGF G2 :|  