  In this note, we present a new way to associate a spectral triple to the
noncommutative $C^*$-algebra $C^*(\Lambda)$ of a strongly connected finite
higher-rank graph $\Lambda$. We generalize a spectral triple of Consani and
Marcolli from Cuntz-Krieger algebras to higher-rank graph $C^*$-algebras
$C^*(\Lambda)$, and we prove that these spectral triples are intimately
connected to the wavelet decomposition of the infinite path space of $\Lambda$
which was introduced by Farsi, Gillaspy, Kang, and Packer in 2015. In
particular, we prove that the wavelet decomposition of Farsi et al. describes
the eigenspaces of the Dirac operator of this spectral triple.
