source file: mills2.txt Date: Fri, 11 Jul 1997 10:51:23 +0200 Subject: 9-axis From: "Paul H. Erlich" Dan Wolf wrote, >> Graham Breed wrote: > > > ''I don't see > > that we need a new dimension for 9.'' > >> This depends entirely on how 9 is used. If - like Partch or Wilson, or in> >> certain temperaments (the TX81Z resolution comes to mind) - 9 is used as >> a >> distinctive harmonic entity, then it is useful to visualize 9 on its own >> axis. If, on the other hand, 9 is only used in terms of 3^2, then by all >> means let 9 share the 3 axis. > >Also, if 9/5 and 9/7 are to be used as distinctive harmonic entities (i.e., >consonances), and not only arising from 3*3/5 and 3*3/7, then it is useful to >include a 9-axis into the triangular lattice. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 11 Jul 1997 12:08 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA31705; Fri, 11 Jul 1997 12:09:03 +0200 Date: Fri, 11 Jul 1997 12:09:03 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA31645 Received: (qmail 12442 invoked from network); 10 Jul 1997 15:56:39 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 10 Jul 1997 15:56:39 -0000 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu