Construct a melodic piece using the designated alphabetic pattern and the provided musical theme.
X:1
L:1/8
M:2/2
K:G
['AD D2 A3 G E2']  
X:1
L:1/8
M:2/2
K:G
"D" AD D2 A3 G |"C" E2 cE dEcE |"D" AD D2 A3 G |"C" E2 cE"D" EDDB :|"D" Adde fdec | 
"Am" ABcA"C" dB c2 |"D" Adde fdcA |"C" GEcE"D" EDDB |"D" Adde fdec |"Am" ABcd"C" ef g2 | 
"Am" afge d2 ed |"C" cAGE"D" EDDB |]  