Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/4
M:4/4
K:Amix
['e a', 'e a']  
X:1
L:1/4
M:4/4
K:Amix
 e"A" |"A" A3/2 B/ c d | e a e3/2 d/ | c A A B/c/ |"G" d d/B/ G B |"A" A3/2 B/ c d | e a e3/2 d/ | 
 c B/A/"G" G B |"A" A2 A :| g/f/"^B1" |"A" e a a g/f/ | e a e3/2 d/ | c A A B/c/ | 
"G" d d/B/ G g/f/ |"A" e a a g/f/ | e a e3/2 d/ | c B/A/"G" G B |"A" A2 A || g/f/"B2" | 
"A" e a a g/f/ | e a e3/2 d/ | c A A B/c/ |"G" d d/B/ G B |"A" A3/2 B/ c d | e a e3/2 d/ | 
 c B/A/"G" G B |"A" A2 A |]  