  We present an overview of our study of the short period variable stars in the
Large Magellanic Cloud, and in the dwarf galaxies Fornax, Leo I, and NGC 6822.
Light curves are presented for RR Lyrae stars, Anomalous Cepheids and, for the
first time, for Dwarf Cepheids in the field and in the globular cluster #3 of
the Fornax galaxy.
