Compose a musical piece utilizing the given motif as the foundation while maintaining the required musical form.
X:1
L:1/16
M:2/4
K:Amix
["a2aa a2aa c'aba faef gagf"  
X:1
L:1/16
M:2/4
K:Amix
|:"A" (GA)AA A2AA |"A7" BABc"D" d4 |"G" BAG2 BAG2 | ABAG"E7" E4 |"A" (GA)AA A2AA | 
"A7" BABc"D" d2>f2 |"G" gagf ecd^d |"E7" ecB2"A" A4 ::"A" a2aa a2aa | c'aba faef |"G" gagf efga | 
 gfed cde2 |"A" a2aa a2aa | c'aba faef |"G" gagf edcA |"E7" B^GEF"A" A4 :|  