Compose melodious music utilizing the prescribed letter representation and integrating the given thematic element.
X:1
L:1/8
M:6/8
K:Amix
['e2 c', 'gec ded cAF GBd']  
X:1
L:1/8
M:6/8
K:Amix
 e2 c dcA | AGE GED | Aaa agf | gec dcd | e2 c dcA | AGE GED | G3 e2 c | dcA A3 :| aea gec | 
 ded cAF | GBd gec | ded cAF | GBd ged | eAB cde | g3 e2 c | dcA A3 :|  