Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
Q:1/8=232
M:4/4
K:G
['cA E2', 'e^d ef gf ga b2 d2 d2']  
X:1
L:1/8
Q:1/8=232
M:4/4
K:G
|: D | B2 AB e2 dB | d2 cA E2 FG | AA AB cA E2 | GA cG D2 B,2 | B/c/B AB e2 dB | d2 cA E2 FG | 
 AA AB cA FA | G2 g2 g3 :: g | e^d ef gf ga | b2 d2 d2 (3(ded) | cB AB cd ef | g2 B2 dg fg | 
 e^d ef gf ga | b2 d2 d2 (3(ded) | cB AB cd ef | (3(gag) ga g3 :|  