Unfortunately, I can't see a source of this book in the UK, and Amazon.com says it can't ship to me! (I hope that means they don't have distribution rights, not that my location is blacklisted/quarantined)But most astonishing of all is that Jan van Biezen's rhythmic discoveries now make Gregorian chant amazingly easy to sing. Theoretically, Antiphons could be learned by a congregation without ever looking at a page, and choirs could sing melismatic Graduals in unison without conducting. I shiver with excitement!
[review by 'coemgenus' of Rhythm, Meter and Tempo in Gregorian Chant]

Jan van Biezen's rhythmic discoveries now make Gregorian chant amazingly easy to sing
The latter. One of the earlier mensuralists surely would have noted it if the former were the case. Blackley writes of the "ordinarily binary nature" of chant but, following Vollaerts and Murray, admits short-long and long-short-long exceptions. (See https://www.scholaantiqua.net/pdfs/RhythmBeforeMid-Twelfth.pdf.)So, does the written evidence for mensural rhythm, in the period when this music was sung this way, also provide evidence of the steady tactus? Or perhaps that's read into this music from Arabic or Byzantine performance practice?
I would say it's his interpretation of ornamental notes. The summary in English (http://www.janvanbiezen.nl/gregorian.html) presents the substance of his theories.There is very little difference, ultimately, between them. What is it that sets van Biezen's work apart?




Jan van Biezen's rhythmic discoveries now make Gregorian chant amazingly easy to sing
"There is very little difference, ultimately, between them. What is it that sets van Biezen's work apart?" I would say it's his interpretation of ornamental notes.
there's no good way to notate those in square notes
The liquescent s at the end of Spiritus is another can of worms. Does it suggest a voiced [z] sound? Space between the s and d? A "shadow vowel"? Or merely that the s sound has to finish before the beat?
The most helpful site for comparative analysis is omnigreg.at.
I also saw in a French forum a Gregorian scholar saying that Van Biezen's researches answer all the objections that Cardine raised in relation to Vollaerts' mensuralism
Compare the three for each source to get an idea of the inconsistency of the scribes.
Where do the recorded offerings of speculative interpretations by Marcel Perez stand in your estimation?
I have read some criticism of his use of oblique organum/ison/drone, which apparently isn't documented before the 14th century.
Blackley was one of the last to publish on mensuralism.
There may be a kernel of truth in what he and others have proposed, but it would seem that we can never know with any certitude how the very earliest cantors performed their chant ... not to mention something so basic as how they 'felt' their chant, influenced immeasurably how the chant was performed.
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