\documentclass{article}
\usepackage{parskip}
\usepackage[LGR,T1]{fontenc}
\usepackage[colorlinks=true,linkcolor=blue,urlcolor=blue]{hyperref}
\pagestyle{empty}

\usepackage[scaled=0.97]{newtxtext}
\usepackage{artemisia-greek}

\begin{document}

\section*{Times and Artemisia}

Combine Times from the \href{https://ctan.org/pkg/newtx}{newtx} package
with \href{https://ctan.org/pkg/gfsartemisia}{GFS Artemisia},
for Greek text.

% Teststring
\newcommand{\alphabet}{%
  abcdefghjiklmnoprqrstuvwxyzäöüß
  {\fontencoding{LGR}\selectfont abgdezhjiklmnxoprsctufqyw} \\
  ABCDEFGHJIKLMNOPRQRSTUVWXYZÄÖÜ
  {\fontencoding{LGR}\selectfont ABGDEZHJIKLMNXOPRSTUFQYW}%
}

\begin{description}
  \item [Normal:] \alphabet

  \item [it:] \textit{\alphabet}

  \item [sl:] \textsl{\alphabet}
  
  \item [bf:] \textbf{\alphabet}

  \item [bf it:] \textbf{\textit\alphabet}

  \item [sc:] \textsc{\alphabet}

  % \item [bf sc:] \textsc{\textbf\alphabet} missing in Bodoni
  
\end{description}

\end{document}