source file: mills2.txt Date: Wed, 9 Jul 1997 23:32:46 +0200 Subject: Re: Modulating dekanies by hexanies (was RE: Meantone, Partch) From: Paul Hahn On Wed, 9 Jul 1997, Daniel Wolf wrote: > In fact, modulation of this sort is a primary resource in 20th century > composition. Stravinsky's tonal resources included playing the octotonic > collection against each diatonic transposition (and vice versa); Partch a> nd > Schoenberg multiplied a set of tone by their inversion (the row box and > diamond are remarkably strange bedfellows); Boulez's ''multiplication'' > technique is another species of the same. Okay, I misunderstood you before. I had thought that one might be using all ~60 tones within a short space of time, when in fact you mean (paraphrasing) transposing a ten-note scale through six different tonal centers. That sounds eminently comprehensible. --pH http://library.wustl.edu/~manynote <*> O /\ "Foul? What the hell for?" -\-\-- o "Because you are chalking your cue with the 3-ball." Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 11 Jul 1997 10:04 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA09407; Fri, 11 Jul 1997 10:05:00 +0200 Date: Fri, 11 Jul 1997 10:05:00 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA26375 Received: (qmail 18950 invoked from network); 10 Jul 1997 17:07:47 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 10 Jul 1997 17:07:47 -0000 Message-Id: <199707101259_MC2-1A9B-6C4F@compuserve.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu