Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:2/4
K:Ador
['A2 a2 ge gb/g/ ed', 'Bd e/f/e/d/ BA']  
X:1
L:1/8
M:2/4
K:Ador
|: A2 a2 | ge gb/g/ | ed BA | GB dB | A2 a2 | ge gb/g/ | ed B/A/G |1 A2 AB :|2 A2 A(3B/^c/d/ |: 
 ed BA | GA Bd | e/f/e/d/ BA | B2 Bd | e/f/e/d/ BA | GA B/c/d | ed gB |1 A2 A(3B/^c/d/ :|2 AB dB ||  