IIRC this was one of @wesruv's "crazy" plans for Basis while the theme was being developed. I have mentioned it in #3209, but moving it here so that the idea does not get lost...

...at some point long ago wile Basis was still being developed for inclusion into core, I recall @wesruv saying that he envisioned that we could be asking the user to input some colors of their brand (upload their logo for example), and then we have some sort of "magic" thing happening, where we take these colors and theme the site to match them.

Not sure if this was just a crazy "how awesome would it be if" idea, or if you actually had some plan @wesruv ??

...something like http://www.coolphptools.com/color_extract or https://github.com/thephpleague/color-extractor might help

GitHub Link: 
https://github.com/backdrop/backdrop-issues/issues/3231
GitHub Issue #: 
3231