  We propose concurrence classes for general pure multipartite states based on
an orthogonal complement of a positive operator valued measure on quantum
phase. In particular, we construct $W^{m}$ class, $GHZ^{m}$, and $GHZ^{m-1}$
class concurrences for general pure $m$-partite states. We give explicit
expressions for $W^{3}$ and $GHZ^{3}$ class concurrences for general pure
three-partite states and for $W^{4}$, $GHZ^{4}$, and $GHZ^{3}$ class
concurrences for general pure four-partite states.
