  The constants of the effective action describing the massless modes in the
color-flavor-locking phase of QCD have been recently evaluated at high density.
Values of the pseudoscalar masses for nonvanishing quark masses have also been
given. The calculated values show however a puzzling feature: when $m_u=m_d=0$
and $m_s\not=0$ all the goldstones remain massless. We show that an additional
invariant is present which avoids this feature. We costruct this invariant and
discuss the emerging mass pattern for the pseudogoldstones. This provides for a
complete scheme for the pseudogoldstone masses in the color-flavor-locking
phase of QCD.
