Compose a tune that integrates the letter-based representation of the determined musical pattern and the given melodic idea.
X:1
L:1/8
M:4/4
K:C
['G,A,CD EGAB cBcd cAGB ABAG EGAB cAGE', 'e g2']  
X:1
L:1/8
M:4/4
K:C
 CA, | G,A,CD EGAB | cBcd cAGB | ABAG EGAB | cAGE DCCA, | G,A,CD EGAB | cBcd cAGB | ABAG EGAB | 
 cAGE D C2 :: e g2 e g2 eg | aged cA G2 | e a2 g a2 eg | agab ag e2 | e g2 e g2 eg | aged cAGB | 
 ABAG EGAB | cAGE D C3 :|  