How to register instance of a nested generic interface in a dependency injection container

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C#

generics

repository

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I'm trying to create a dynamic architecture for a Audio/Video player application.

I want to be able to change the type of playlist and type of repository from inside the ioc container.

This should be injected in constructors around the application:

IPlaylist<IMedia> playlist, IRepository<IPlaylist<IMedia>> playlistRepository

I currently am able to change the playlist type but I'm having problems figuring out a solution for registering the repository dependency correctly.

Generic IPlaylist:

public interface IPlaylist<TMedia> where TMedia : IMedia
 {
   string PlaylistName { get; set; }
   IList<TMedia> Media { get; set; }
 }

SongPlaylist:

public class SongPlaylist: IPlaylist<Song>
 {
   public string PlaylistName { get; set; }
   public IList<Song> Media { get; set; }
 }

MediaPlaylist for both songs and videos:

 public class MediaPlaylist : IPlaylist<Media>
  {
    public string PlaylistName { get; set; }
    public IList<Media> Media { get; set; }
  }
}

Repository interface:

public abstract class RepositoryBase<TConnection, TEntity> : IRepository<TEntity> where TEntity : class

Repository for songs:

public class SongPlaylistRepository : RepositoryBase<SignalRConnection, IPlaylist<Song>>

Repository for songs and videos:

public class MediaPlaylistRepository : RepositoryBase<SignalRConnection, IPlaylist<Media>>

Dryioc container: Here I register the generic IPlaylist which works:

containerRegistry.Register(typeof(IPlaylist<>), typeof(SongPlaylist));

This is what I would like to do, but I get "unexpected use of an unbound generic name":

containerRegistry.RegisterInstance<IRepository<IPlaylist<>>>(new SongPlaylistRepository(new SignalRConnection(new HubConnection("https://webapiaddress.com/"), "hub")));

What I have tried:

I've tried a lot of different things but I can't figure out if my architecture is way off or if I'm just not using the dependency injection container appropriate.