Author of DeepRhyme here. With respect to the authors of DeepBeat, what they are doing is less ambitious. They are taking full existing lines out of a rap lyric corpus and assembling it into a verse that rhymes and makes sense. There is a paper that is very similar to what I did : http://www.emnlp2015.org/proceedings/EMNLP/pdf/EMNLP221.pdf . It's hard to compare our models, because they don't give much output text. They trained on 1% of the data I did, so I'm a bit dubious how successful they could have been.

I am writing a followup post where I'm going to talk about previous work, I hope no one takes any disrespect.