Compose a musical piece by integrating the alphabetic representation of the specified sequence and the provided motif.
X:1
L:1/8
M:2/2
K:Ador
['cAeA cAeA', ':|2 cBAG ABcd', 'c2 ec']  
X:1
L:1/8
M:2/2
K:Ador
 cAeA cAeA | cAeA BAGB |1 cBAB cdef | gfge dBGB :|2 cBAG ABcd | e=fed cAAB |: c2 ec gcec | 
 c2 ec dBGB |1 c2 ec gcef | gfge dBGB :|2 cBAG ABcd | e=fed cAAB |:"^variations" cAeA cAeA | 
 cAeA dBGB |1 cAeA cdef | gfgd BAGB :|2 cBAG ABcd | eged cBAB |: c2 ec gcec | c2 ec BAGB |1 
 c2 ec gcec | gfgd BAGB :|2 cBAG ABcd | eged cAAB ||  