# Beamer onslide delayed and missing notes

I am having troubles with the use of \onslide<+-> and beamer notes.

For the following snippet

\documentclass{beamer}
\usepackage{pgfpages}
\setbeameroption{show notes}
\setbeameroption{show notes on second screen=right}

\begin{document}

\begin{frame}
\onslide<+->
1111
\onslide<+->
2222
\onslide<+->
333
\end{frame}

\note[itemize]
{
\item{First note.}
\item<2->{Second note.}
}

\end{document}


I obtain the following result

While I actually want to see "first note" appearing with "1111" and "second note" with "2222". Interestingly, the "second note" does not appear at all. What am I doing wrong?