Putting Youtube playlist on website, but I want to be like a stream

So my problem is, i am making a DJ website. I have a youtube channel, and i have good music there, and what i want is to make a youtube playlist and then show it in my website, but i want to be like so - playlist with 20 songs, it goes like a stream (first song, secons song ect) it cant stop, it should go in a loop. I want kinda like a radio but with a video who no one could rewing or go further. A good example is this site, and i don't know how he is doing that with his youtube playlist ... http://ift.tt/2h6zMvd