Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
Q:1/4=128
M:2/4
K:C
['C>D EG']  
X:1
L:1/8
Q:1/4=128
M:2/4
K:C
 G |"C" cC C>D | EG cd/c/ |"G" BG G/A/B/c/ | dG GA/B/ |"C" c/B/A/G/ FE |"G" DG G/A/G/F/ | 
"C" EC"G" DC/D/ |"C" EC C :| D |"C" EC C>D | EG GA/G/ |"Dm" FD D>E |"F" Fc c/A/G/F/ |"C" EC C>D | 
 EG GA/G/ |"Dm" FD"F" c/A/"G7"G/F/ |"C" EC C :|  