Compose a musical piece by integrating the alphabetic representation of the specified sequence and the provided motif.
X:1
L:1/8
M:4/4
K:Amix
['c<A A2', 'd>B A>a a>^g a>b a>g e<a a2']  
X:1
L:1/8
M:4/4
K:Amix
 c<A A2 E<A A2 | c>A A>e a>e f>d | c<A A2 E>A c>A | B<d G>d g>e d>B | c<A A2 E<A A2 | 
 c>A A>e a>e f>d | c<A A2 E>A c>A | B<d G>d g>e d>B || A>a a>^g a>b a>g | e<a a2 c'>a b>^g | 
 a>b c'<a b<^g a<f | =g>e d>=c B<G d>B | A>a a>^g a>b a>g | e<a a2 c'>a b>^g | a>b c'<a b<^g a<f | 
 =g>e d>=c B<G G>B ||  