William Sethare has done a good amount of research into adaptatively tuning music so that the intervals are always simple ratios. You can find some examples of this here : https://sethares.engr.wisc.edu/html/soundexamples.html
Unfortunately some sound examples are missing but a few of them are still online.
I'm not seeing any dead links there? That page has always been a listing of the mp3 files on the physical CD that comes with his book, only some of which were ever put online.
BTW, Sethares' research https://en.wikipedia.org/wiki/William_Sethares goes way beyond tuning music to simple ratios. His whole book is about working with a model of sounds being "in tune" with one another that doesn't just boil down to that.
Unfortunately some sound examples are missing but a few of them are still online.