  We prove that the Beurling dimensions of the spectra for a class of Moran
spectral measures are between $0$ and their upper entropy dimensions. Moreover,
for such a Moran spectral measure $\mu$, we show that the Beurling dimension
for the spectra of $\mu$ has the intermediate value property: let $t$ be any
value between $0$ and the upper entropy dimension of $\mu$, then there exists a
spectrum whose Beurling dimension is $t.$ In particular, this result settles
affirmatively a conjecture involving spectral Bernoulli convolution proposed by
Fu, He and Wen in [J. Math. Pures Appl. 116 (2018), 105--131]. Furthermore, we
prove that the set of the spectra whose Beurling dimensions are equal to any
fixed value between $0$ and $\ue \mu$ has the cardinality of the continuum.
