\documentclass[a4paper, 12pt]{article}

\begin{document}

\section{LilyPond snippets inside lists:}

Itemize environment:
\begin{itemize}
\item
\lilypond[staffsize=11,fragment]{ c'} do
\item
\lilypond[staffsize=11,fragment]{d'} re
\item
\lilypond[staffsize=11,fragment]{e'} mi
\item
\lilypond[staffsize=11,fragment]{f'} fa
\item
\lilypond[staffsize=11,fragment]{g'} sol
\end{itemize}

\end{document}
