"Random Artist" Shuffle

[OregonTrail]

I have a lot of songs from one artist compared to all others. I enjoy listening to all of my music at once, however I would like a media player that plays random artists in sequence.

For example, if a library consisted of 100 songs.
50 from Artist 1
30 from Artist 2
15 from Artist 3
5 from Artist 4

The media player would shuffle songs like this.

Song from Artist 1 -> Song from Artist 2 -> Song from Artist 3 -> Song from Artist 4 -> Song from Artist 1 ....

After five cycles, Artist 4 would never be played again, and eventually only Artist 1 would be playing.

Can Winamp do this?

[MrSinatra]

no