Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
M:2/4
K:Amix
['A>B cd', 'ge e2']  
X:1
L:1/8
M:2/4
K:Amix
|: A>B cd | ef g z | G2 BG | dG BG | A>B cd | ea a z | g>f gB | A4 :: ge e2 | ge e2 | f2 df | 
 a2 f2 | e>d ef | gf ed | BA GB | A4 :|  