Generally, when you're wanting to filter a list, the Memento list filtering facility needs to be available -- the library entries list and
not the list of links in an entry view card. This means linking
from the library whose entries are to be filtered
to the other libraries. Where do you like to spend the most of your time and your efforts?
I'll make an assumption and suggest a linking structure based on that. I'll assume your efforts are maker-centric. So, the links should go out from there. Then, you can not only filter, but also aggregate, sort, group, and chart from that list. Some links may not make sense for this model, so some adjustments might need to be made.
So, there'd be a link-to-entry field from maker to its masters, one to its songs, one to its labels, and one to its series. Now, when considering this, some might seem not to make sense, like maker to series, for instance. A way to provide fields to filter on in this case is to create a Lookup field or JavaScript field in Makers for the series based on a link-to-entry field, say, from master to series. In that case, go ahead and keep your link-to-entry field from Masters to Series, but put a Lookup field in Makers to that link-to-entry field in Masters. Then you can filter your list while in Makers by this value even though the link-to-entry field is elsewhere. A Lookup field is truly trivial to create. Just identify that other library where the link-to-entry field is and identify that field. A JavaScript field to do the same thing is also trivial, though you do has to remember the exact syntax to use. If the distant field is "Series" in Masters and the local field is Masters in Makers, then the JavaScript field script would be is...
field("Masters")[0].field("Series");
In my case, I'm a singer, so my #1 home is Songs and my #2 home is Artists. I optimize my database design for the list of songs first and then optimize for the list of artists. I also have Sets (playlists), Record labels, and Album tracks. Artists include performers, lyricists, composers (songwriters), producers, arrangers, & bands. When an artist is a band, I link the band artist (say, Peter Paul & Mary) to the solo artists Peter, Paul, & Mary, taking care to never link a band to a band. (That would cause a loop and crash Memento. Actually, in the desktop edition, Memento crashes anyway, despite never linking to a band, so I don't use the desktop edition (one of many reasons).) In theory, I'm tracking record labels, but I seldom actually do. I'm not sure what your Series is, but I guess I'm not tracking that either.