Restitution from An. Mon., but I don't know what to make of it: the manuscripts present many variations in modes 4, 5 and 8
The mode 1 version restituted in the AM is the most consistent across time, being in Ka and Vat 8737, and it is the one that ended up in the franciscan books and eventually in the curial use and in the medicean edition after Trent (see https://play.google.com/books/reader?id=pRzS_AIJW3IC&pg=GBS.PA256&hl=fr ) so it is traditional in the best sense of the word, and authentic. This source has neumes that fit it better than H: https://digital.onb.ac.at/RepViewer/viewer.faces?doc=DTL_2976033&order=1&view=SINGLE