  Hawking radiation from an evaporating black hole has often been compared to
black body radiation. However, this comparison misses an important feature of
Hawking radiation: Its low density of states. This can be captured in an easy
to calculate, heuristic, and semi-analytic measure called "sparsity". In this
letter we shall present both the concept of sparsities and its application to
$D+1$-dimensional Tangherlini black holes and their evaporation. In particular,
we shall also publish for the first time sparsity expressions taking into
account in closed form effects of non-zero particle mass. We will also see how
this comparatively simple method reproduces results of (massless) Hawking
radiation in higher dimensions and how different spins contribute to the total
radiation in this context.
