  We study the asymptotic behavior of Sudler products $P_N(\alpha)=
\prod_{r=1}^{N}2|\sin \pi r\alpha|$ for quadratic irrationals $\alpha \in
\mathbb{R}$. In particular, we verify the convergence of certain perturbed
Sudler products along subsequences, and show that $\liminf_N P_N(\alpha) = 0$
and $\limsup_N P_N(\alpha)/N = \infty$ whenever the maximal digit in the
continued fraction expansion of $\alpha$ exceeds $23$. This generalizes results
obtained for the period one case $\alpha=[0; \overline{a}]$.
