Imac 27" late 2013 + "modern" startup system on external ssd
I'm working happily on my powerful 27" iMac late 2013 booted from an external SSD running 10.13.6. I also sometimes run 10.9.5 - in both cases because of legacy applications. I've tried to install a "modern" system on another external SSD (automatically converted to AFPS), but the new and old systems don't "see" each other, so I can't switch between them, and the computer jams. Is there a way around this problem?
iMac 27″, macOS 10.13