The way I embedded my playlist was by creating a membership at Grooveshark.com
Add whatever music you would like onto you playlist. Go under add a song and Grooveshark even allows you to search for songs, bands or other playlists if you need to
Once you have created your playlist, go to ‘Share’. It is under the title of your playlist.
Select ‘Embed’ again and then copy what is in the window.
Finally, paste the HTML under the tag when you make a new post or page ‘HTML’
Boom. You have a playlist embedded on your blog!