Construct a melodic piece using the designated alphabetic pattern and the provided musical theme.
X:1
L:1/8
M:6/8
K:Amix
['e2 A']  
X:1
L:1/8
M:6/8
K:Amix
|:"A" ABd e2 A |"D" f2 A"A" e2 A |"A" ABd e2 A |"G" gfe dBG |"A" ABd e2 A |"D" f2 A e2 A | 
"G" gag gfe | dBg dBG ::"G" gag f2 e |"Em" efg"A" a3 |"G" gag gfe | dBg dBG |"G" gag gfe | 
"Em" efg"A" a3 |"G" gag gfe | dBg d B2 :|  