Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:2/2
K:Ador
['(dB) A2 (AB) GFGB', '(dB) A2 (AB) GFGB A^GAB cBcd e^def', 'e2 (ef)', '(Bd) e2 (ef) gfge efge a2 (ef)']  
X:1
L:1/8
M:2/2
K:Ador
 (dB) | A2 (AB) GFGB | A^GAB e2 (dB) | A2 (AB) GFGB | dBGB d2 (dB) || A2 (AB) GFGB | A^GAB cBcd | 
 e^def gfge | dBGB A2 |] | (Bd) | e2 (ef) gfgf | ed^cd efgf | e2 (ef) gfge | dBGB d2 (Bd) || 
 e2 (ef) gfge | efge a2 (ef) | ^gaba =gfef | gedB A2 |]  