How to transfer "pure music" from Imac to Mac mini

Couldn't you just use the same serial number after downloading the software to the mini?

In the Mac manual there should be a section on settings, program and file transfer from your old mac to your new mac. I've done it once. it requires a double ended usb cable or the use of an adapter. I used a firewire cable which is not supported anymore. My information is a few years old, things may have changed but I doubt.

good luck

I'd just download it and use your existing key, but you can use a Time Machine backup to move from one Mac to another.