McGlynn also created new compositions that could be perceived as arrangements of Irish songs but were, in fact, new melodies composed to traditional texts. He has stated that "People just assume that I have just found a 'living' version. In fact I have done what has made solo traditional music so viable: I have created a new version. I take the songs and reinterpret them in a new way. My priority is always to create a choral version that works." His most successful choral work in this genre is "Dúlamán", a setting of the traditional Irish poem of the same name. This work has been performed and recorded extensively by professional choral groups such as Chanticleer and Cantus. It features another characteristic aspect of his musical language in its use of multiple alternating rhythms.