The Nunc Dimittis – also known as the Song of Simeon (Luke 2:29-32) – is a canticle used in Evening Prayer. Below is an audio file of the easiest way, in my opinion, to chant the canticle.
As you can see in the pagescan from the 1940 Episcopal Hymnal below, I’m chanting #668, a setting written by J. Naylor.
Please let me know if you have any questions about chanting the Nunc Dimittis. I’m no expert, but I’m happy to help!