Compose a musical piece that embeds the provided musical pattern as its core element.
'Compound Ternary'  
X:1
L:1/8
M:4/4
K:Dmix
 af{a}ge{a} fd d2 | cA{c}BG ADDE |{A} EDEG A3 B | cA (3Bcd ef g2 | azge{a} fd d2 | cA{c}BG ADDE | 
{A} EDEG A3 B | cAGE{A} ED D2 :: c3 e{a} ge^ce | d^cdf{c'} afde | fgeg{a} fedf | e3 f e^cAB | 
 c3 e{a} ge^ce | d^cdf{c'} afde | fgeg{a} fedB | cAGE{A} ED D2 :|"^variations" |: 
 af{a}ge{a} fd d2 | cA{c}BG AD D2 |{A} FDFG A3 B | cBAB cdeg | af{a}ge{a} fd d2 | cA{c}BG AD D2 | 
{A} FDFG A3 B | cAGE{A} ED D2 :: c2 ec{a} ge^ce | d^cdf{c'} afdf | g2{c'} bg fg{c'}af | 
 edef e=cAB | cBce{a} ge^ce | d^cdf{c'} afdf | g2 ag{a} fddB | cAGE{A} ED D2 :|  