  We prove a general ampliation homogeneity result for the quasicentral modulus
of an n-tuple of operators with respect to the (p,1) Lorentz normed ideal. We
use this to prove a formula involving Hausdorff measure for the quasicentral
modulus of n-tuples of commuting Hermitian operators the spectrum of which is
contained in certain Cantor-like self-similar fractals.
