On Nov 27, 2007 2:48 PM, Eyolf Østrem <[EMAIL PROTECTED]> wrote: > On 27.11.2007 (13:44), Trevor Bača wrote: > > I wish I knew enough about Medieval music (or Medieval music theory > anyway) > > to know if the Medieval invetors of "duplum" and "triplum" and > "perfectus" > > and "imperfectus" and the like ever touched on the topic ... they'd make > a > > good source to steal from ... > > Oh, they did, they did... Not the medieval guys, but their > early-renaissance followers, such as Franchino Gaffurio, who, as far as I > remember, is the one who does the most thorough presentation of all the > different alternatives: > > http://www.chmtl.indiana.edu/tml/15th/GAFPM4_TEXT.html > > The principle is an extension of the nomenclature of sesquialtera (3:2) > and > sesquitertia (4:3) etc., and particularly the names with -partiens and > -particularis. As the complexities grow, so do the names: 30:7 is called > Quadruplasuperbipartiensseptimas... > > sesqui-: numerator one higher than denominator > subsesqui-: denom. one higher than num. > superpartiens: num. contains den. plus a specified part of itself, e.g. > supertripartiensquinta = 8:5, supersexcupartiensseptima=13:7, etc. > subsuperpartiens: same as the former, only upside down: > supersexcupartiensseptima=7:13 > etc. > > Charming system, but not very practical...
Oh, Eyolf, what a gem. Thanks so much for the beautiful reference. And, yes: not very practical, but how fascinating ... :-) -- Trevor Bača [EMAIL PROTECTED]
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