My ministry produces a very popular, even featured on iTunes, Liturgy of the Hours audio podcast. We looked at using the tones and found them to be very simple. You should try looking on wikipedia. What was a little more difficult was knowing what to use where. We ended up not “chanting” because we were only 4 people all with no vocal talent. What we did do is lay a musical bed under the psalms and had the most popular psalms put to musical, mostly in a pop Italian style. During ordinary time we only publish Morning Prayer so give it a listen if you have a chance and let us know about how we could use the tones if you every work it out.