Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/4
Q:1/4=100
M:4/4
K:C
['E E']  
X:1
L:1/4
Q:1/4=100
M:4/4
K:C
 E | E (F/ ^F/) G e | e (d/ c/) B A | G3/2 A/ B (c/ d/) | c E G G | B (A/ G/) G ^F | 
 c (B/ A/) A ^G | A e d G | c B E E | F (G/ A/) A F | d (c/ d/) B G | e3/2 d/ c A | G3 F | E3 |]  