This morning I had to go on a quick look for this chant which Tomjaw posted some time ago, and I thought I'd re-post it in case anyone wants to sing it today.
Although here we have a few inches of snow, so actually burying the Alleluia will be hard. Perhaps we'll opt for a simple locked chest indoors.
We're burying "Al" at our church's potluck as part of our choir's bake sale. (Selling Max Miller's recipe for molasses-based Victorian funeral cakes.) We're inviting parishioners to write down bad habits and vices of theirs they wish to 'bury' this year and put it in the casket with Al. Hopefully, only one will rise.
We buried it yesterday with the ancient Vespers hymn (Dulce Carmen) sung in procession to the grave. Our priests then read four of the ancient prayers during the burial, then said the Benedicamus Domino still used at Vespers in the Roman Rite. We then processed backing the church singing Christus Vincit.
As for the melodies of the Alleluia dulce Carmen, as far as I know this hymn has not been used Liturgically for centuries. It can be found in modern Anglican books usually sung in translation.
The Melody posted at the top was found on the internet and I believe is a transcription from a manuscript. The mode II melody is my fault, when I can't find a melody for a Hymn in The Liturgical Year, Gueranger or the Analecta Hymnica, I will set it to a melody that fits the metre, So I chose that rather nice Dominican melody, interestingly it is very similar to the melody below from A.D. 1187!
OMagnum, the first image of your second post is the one I knew.
That said, I've never given it to a novus ordo congregation as much as I love it. We always just do "Alleluia song of gladness" to the hymn tune Dulce Carmen. I'm saving that for two weeks, however, since we don't do the gesimas.
The mode 2 melody appears to be a variant of the sarum hymn Urbs Beata, which can be found in translation in the 1940 Hymnal as Blessed City, Heav'nly Salem.
See also https://hymnary.org/text/the_strain_upraise_of_joy_and_praise which is sung hereabouts to Troyte’s Tune no. 2. J M Neale called it “cramped, tortured, tamed […] utterly destructive of the whole prose.” I think it’s rather sweet and naive, in a good way.
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