  We adopt Leaver's method to determine quasi normal frequencies of the
Schwarzschild black hole in higher (D >= 10) dimensions. In D-dimensional
Schwarzschild metric, when D increases, more and more singularities, spaced
uniformly on the unit circle |r|=1, approach the horizon at r = r_h = 1. Thus,
a solution satisfying the outgoing wave boundary condition at the horizon must
be continued to some mid point and only then the continued fraction condition
can be applied. This prescription is general and applies to all cases for
which, due to regular singularities on the way from the point of interest to
the irregular singularity, Leaver's method in its original setting breaks down.
We illustrate the method calculating gravitational vector and tensor
quasinormal frequencies of the Schwarzschild black hole in D=11 and D=10
dimensions. We also give the details for the D=9 case, considered in
gr-qc/0511064.
