Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
M:4/4
K:Ador
['A,2 A,C E2 EF GEDB,', 'a3 b agef', 'A2 eA(3cBA eA(3cBA', 'gedB BA']  
X:1
L:1/8
M:4/4
K:Ador
 A,2 A,C E2 EF | GEDB, G,A,B,G, | A,2 A,C E2 EF | GEDB, EA,A,G, | A,2 A,C E2 EF | GEDB, G,2 g2 | 
 edeg a3 f | gedB BA A2 :: a3 b agef | g3 a gede | a3 b agef | gedB BA A2 | agef g3 e | dedB GABd | 
 cBAB cdea | gedB BA A2 :: eA(3cBA eA(3cBA | d3 B GB B2 | eA(3cBA e3 a | gedB BA A2 | 
 eA(3cBA eA(3cBA | dedB GABd | cBAB cdea | gedB BA A2 :: aece aece | gdBd gdBd | aece a3 f | 
 gedB BA A2 | agef g3 e | dedB GABd | cBAB cdea | gedB BA A2 :|  