The Meinrad tones have a moving reciting tone, so don't fit what OP describes. I have definitely seen a collection as described, but I can't remember where. I'll have a trawl through my files when I get the chance. I recall "Way of Beauty" tones being a collection of tones for English, but I don't remember what they were like.
I found the ones I was looking for - the tones by forum member Fr Aaron Williams ( @awilliams ). There's a previous discussion here, and the same tones are used in his Vesperal, discussed here. I've attached another version also by him, but I can't find where I found it. The project went through a few revisions.
Just to check whether I'm catching on to Michael's request:
Are you looking for psalm tones in which the reciting note is the same in both halves of the tone? That's easy enough: the eight standard Gregorian psalm tones have that feature.
Some of the English tones were composed with more than two segments, in order to accommodate the formatting of the Grail-translation psalms in the LOTH in stanzas up to six lines long. A pattern with four to six segments, all on the same reciting tone, probably did not seem very appealing.
I'm planning on using a Gregorian tone for the introit antiphon and then a very simple English tone for the psalm so people can join in on the introit at daily Mass on Fridays. I always use Gregorian tones at all other times.
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