Develop a musical piece incorporating the designated alphabet-based pattern and the supplied melodic theme.
X:1
L:1/4
Q:1/2=110
M:3/2
K:Edor
['G E E']  
X:1
L:1/4
Q:1/2=110
M:3/2
K:Edor
|:"^A""Em" G E E D E2 |"Em" G E E G"D" F/G/ A |"Em" G E E D E2 |"D" F D D B"B7" A G/F/ :: 
"^B""Em" E e e d e2 |"Em" E e e f g e |"Em" E e e d/c/"G" d3/2 B/ |"D" A F D B"B7" A G/F/ :|  