At 8:18 AM +0100 3/27/08, dc wrote:
John Howell écrit:
Not in the Malipiero edition, if my memory is anywhere close to accurate. But 3/2 is fairly common in later Baroque music where it's an actual time signature and not a proportion.

You often mention this shift from proportions to time signatures. When did it take place according to you?

Well, it has nothing to do with "according to me," but if pressed I would have to say during the course of the 17th century. Giovani Gabrieli and Claudio Monteverdi were still using proportion signs at the beginning of the century. Archangelo Corelli was using time signatures at the end (although they can't always be interpreted exactly as we would expect to interpret them). But I wouldn't be terribly surprised to find examples of Bach or his contemporaries using the old fashioned proportions on rare occasions.

But to understand this gradual changeover (which is paralleled by changes in the use of barlines, the use of key signatures and accidentals, and a number of other notational changes that took place during the 17th century), it helps to know what the older system was and why it was needed.

And actually it wasn't needed until our notation system had evolved from triple subdivisions only (mid-13th century, under the influence of the Parisian rhythmic modes) to both triple and duple subdivisions (as advocated in "Ars nova" by Philippe de Vitry in around 1320). The mensuration signs (an unbroken circle indicating perfect tempus, a broken circle--still in use as our sign for "common time"--indicating imperfect tempus--duple subdivision--and the slash of diminution that cut the time values of either one in half--still in use as our sign for "cut time") were absolute through the 16th and early 17th century, relating only to the tactus (as far as we can tell). The proportion signs, on the other hand, always showed the relation between the new tempo and the previous tempo. Another mensuration sign would cancel the proportion and again relate to the tactus.

(I'm deliberately ignoring Prolation, which determined the duple or triple subdivision of the next faster kind of notes. But in practice, of course, it can't be ignored.)

The problem (not a problem for them, but a problem for us in learning to interpret late 13th century Franconian notation) is that Franco used the same note shape to indicate both a perfect longa (worth 3 breves) and an imperfect longa (worth only 2 breves), while a single breve could have its normal value of 1 breve or could be altered to represent the value of 2 breves--EXACTLY the same value of an imperfect longa! Everything depended on context, but we can actually learn to read--even sightread--good clear Franconian notation based on Franco's own rules of interpretation. After all, THEY did!

Sorry; more information than you asked for. But it's helpful to understand how we got to where we are today, and to do that we have to understand how things developed. My Early Music Literature class is now in the middle of transcribing a 15th century chanson from the original notation, which is a pretty daunting task for a modern musician, but they're doing great and learning an awful lot by doing it. First the notes and rests; then the musica ficta; and finally dealing with text underlay.

John


--
John R. Howell, Assoc. Prof. of Music
Virginia Tech Department of Music
College of Liberal Arts & Human Sciences
Blacksburg, Virginia, U.S.A 24061-0240
Vox (540) 231-8411  Fax (540) 231-5034
(mailto:[EMAIL PROTECTED])
http://www.music.vt.edu/faculty/howell/howell.html

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