Installing a different copy of WP in a different directory..?

Hi everyone. I’ve installed WP in a directory on my site with no trouble, but I’d also like to install a clean/new copy of it in a different directory for a different use. I’ve checked the docs, searched, and googled but have yet to find anything that answers this particular question. I thought if I just re-uploaded the same files that I could start fresh again, but I just saw the same content from my original installation. Any help or information would be great, thank you! 🙂