  The coinvariant algebra is a quotient of the polynomial ring
$\mathbb{Q}[x_1,\ldots,x_n]$ whose algebraic properties are governed by the
combinatorics of permutations of length $n$. A word $w = w_1 \dots w_n$ over
the positive integers is packed if whenever $i > 2$ appears as a letter of $w$,
so does $i-1$. We introduce a quotient $S_n$ of $\mathbb{Q}[x_1,\ldots,x_n]$
which is governed by the combinatorics of packed words. We relate our quotient
$S_n$ to the generalized coinvariant rings of Haglund, Rhoades, and Shimozono
as well as the superspace coinvariant ring.
