source file: m1470.txt Date: Thu, 9 Jul 1998 11:50:32 -0500 (CDT) Subject: RE: Helmholtz's and Ellis's tunings From: Paul Hahn On Thu, 9 Jul 1998, Paul H. Erlich wrote: > I thought the duodenarium was a 12-tone scale, Euler's 3^3.5^2 genus. I > guess I was wrong. Please straighten me out. As best I can interpret Ellis, he seems to use "duodene" to refer to the 12-tone Euler genus Paul E. describes, and "duodenarium" to the infinite plane that results when you tile a bunch of these together--in other words, the 3-5 harmonic lattice. --pH http://library.wustl.edu/~manynote O /\ "Churchill? Can he run a hundred balls?" -\-\-- o NOTE: dehyphenate node to remove spamblock. <*>