How to Auto Download 5-6 Files Daily Where Date in File Names Change

Hey Guys -

There's an audio stream which I listen to that's put up for download 2-3 times a week.  When posted, it isn't ever posted as a single file, but as 5-6 "parts" which once downloaded, I join together.  I'm trying to script or find an app which would automatically download these for me each day - and ideally even auto join them for me - but am at a roadblock.

The good news is that the URL which they are downloaded from seems to stay the same daily.  What changes is the file name, though.  Below are examples of the download links from the past two days:

Again, the # of parts changes from day to day, but have never seen it go over 6.  I'd only need it to run 2-3 days a week, but could even schedule that as a task in Windows if a script was used.  I have tried "Internet Download Manager," but it doesn't accept wildcards and I can't find an app that will.  Searching Google for "schedule download wildcard" gave too much of a variety of results so decided to post here first.

If I can get this working, I'm going to try to find a command line util which I might be able to script to auto-join the files in the download directory then copy to a new folder for sync with cloud.

Any ideas for the best way (script or app) to perform any of this would be appreciated.  

Thanks!