Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/4
M:4/4
K:C
['A E']  
X:1
L:1/4
M:4/4
K:C
 z3 A/-A/ | A A E ^F | G3/2 ^F/ E A/A/ | A A E ^F | G2 z A/A/ | A A E ^F | G3/2 F/ E C | 
 D E (D/C/) B, | A,2 z A/A/ | A A E ^F | G3/2 (^F/ E) A/-A/ | A A E ^F | G2 z A/A/ | A A E ^F | 
 G3/2 F/ E C | D E (D/C/) B, | A,2 A, B, | C2 B, B, | A,2 E ^F | A2 E/ ^F3/2 | A2 z E/^F/ | 
 A E G3/2 ^F/ | E A, B, G, | A, A, B, G, | A,2 z2 |]  