Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:2/4
K:C
['G[ec] [eg]2 G[fd] [fd]2 B[bg] [bg][af] [af][ge]', 'F2 E[BG] [BG]2']  
X:1
L:1/8
M:2/4
K:C
 G[ec] [eg]2 | G[fd] [fd]2 | B[bg] [bg][af] | [af][ge] [ge]2 | EA GC | B, [AF] [GF]2 | FB AF | 
 EA G2 | G[ec] [eg]2 | G[fd] [fd]2 | B[bg] [bg][af] | [af][ge] [ge]2 | Ge e/d/c/B/ | Af f/e/d/c/ | 
 Ba g>B | cc c2 ||[K:F] cF F2 | E[BG] [BG]2 | GF ED | C[AF] [AF]2 | cF F2 | E[BG] [BG]2 | CD EC | 
 [fA][fA] [fA]2 |]  