Compose a piece using the alphabetic notation of the assigned musical structure and the provided melodic motif.
X:1
L:1/8
M:4/4
K:Amix
['', 'gaeg d<eg<a', 'B2 B<d', 'e2 d>e', 'A2 A>B']  
X:1
L:1/8
M:4/4
K:Amix
 e |: gaeg d<eg<a | egd<e d>BB>e | gaeg d<eg<a | g>ed>B A>AA e :| B2 B<d e<gd<e | B<de<g d>BB>e | 
 B2 B<d e<gB<d | g>ed>B A>AA>e | B2 B<d e<gd<e | B<de<g d>BB>e | B>AB<d e>dd>a | g>ed>B A>AAe || 
 e2 d>e G>ed>G | d>BG>e d>BB>a | e2 d>e G>ed>B | g>ed>B A>AA>a | e2 d>e G>ed>G | d>BG>e d>BB>a | 
 e2 d>e G>ed>B | g>ed>B A>AAe :| A2 A>B e<AB<e | e2 d>B d>BB>e | A2 A>B e<AB<e | g>ed>B A>AA>e | 
 A2 A>B e<AB<e | e>dd>e d>BB>e | A2 A>B edd>a | g>ed>B A>A A2 :|  