Develop a musical composition using the outlined alphabetical depiction of the structure and the provided theme.
X:1
L:1/8
Q:1/4=120
M:2/4
K:C
['A G E D C', 'c>d e c']  
X:1
L:1/8
Q:1/4=120
M:2/4
K:C
"^Lively" A | G E D C | F2 F A | G E D C | D2 D A | G E D C | F>G A F | G>F E>D |{D} C2 C || G | 
 c>d e c | f>e d e | c>d e c | (dB) G B | c>d ec | f e d f | e>g d e | c2 c ||  