Take a walk at night
I really like walking around the old town of Split after dark when the crowds have gone and just the cats are roaming around. Well, not quite but still you will get a totally different impression and you can take some night shots.
One night there was a concert in the Peristil of a really good singer. Also with less people around you may notice different details than during the day. Cats, cats and more cats :-)

The Riva Promenade, Split
Meat on the whole
Marco Marulic statue -Milesi palace in Brace Radic
Raised section where emperor's palace was located