Develop melodies utilizing the stated letter notation and the provided theme.
X:1
L:1/8
M:4/4
K:Amix
['BEEF GABc']  
X:1
L:1/8
M:4/4
K:Amix
 A2 Ae cAec | Aece dBGB | Aged cdec | BEEF GABc | ce e2 cee^f | aece dBGB | Aged cdec | BEEF GABc | 
 eaag edBd | fgge decd | egag ed=cA | BEEF GABc | egag edBd | fgge dBGB | AGAB =c2 cd | egaf gedB |]  