source file: mills2.txt Date: Thu, 16 Jan 1997 08:56:55 -0800 Subject: Reply to Daniel Wolf From: PAULE >There are some musical contexts (and some temperaments as well - >the tuning of the TX81Z comes to mind) What's this? >where 9 _has_ a harmonic function >distinct from 3^2. I couldn't agree more: that's why 9-limit harmony is different from 7-limit harmony. But to graph the same pitch at two different points on a lattice seems too confusing. That's just the way my brain works, though. More: >Wilson has [...] worked with [...] 3(1,3,5,7,9,11), I don't dispute the musical validity of this construct. In fact it supports everything I've been saying about odd numbers and about including a factor of 1 in the CPS. It's just that in graphing this along with 2(1,3,5,7,9,11), you'd have no idea that 1*9 is the same pitch as 1*3*3, if you have a separate axis for 9. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Thu, 16 Jan 1997 18:08 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA12926; Thu, 16 Jan 1997 18:11:45 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA12917 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id JAA04221; Thu, 16 Jan 1997 09:11:05 -0800 Date: Thu, 16 Jan 1997 09:11:05 -0800 Message-Id: <199701161208_MC2-F66-E451@compuserve.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu