source file: mills2.txt Date: Sat, 5 Oct 1996 02:18:01 -0700 Subject: To Gary, Paul E, Re: non-octave scales From: "Enrique Moreno" I don't know how to put this in sufficiently modest terms, but you guys MUST obtain a copy of my doctoral dissertation, which deals with the expanded chroma phenomenon and the three-dimensionality of pitch cognition. A series of experiments indicate that, under certain strict conditions (in which the partial structure of the tones is more or less irrelevant), powers of 3 (and possibly of 5) do replicate the smilarity condition eliceted by powers of 2 in tonal or modal polyphony. During the past months I have seen many postings touching on this topic (particularly by Gary and Paul E.) but (I hate to put it in this terms) the statements therein are mostly gropping in the dark. Unfortunately, I don't have much time to participate in the list's discussions. So, do forgive any unintended patronizing tone, call Stanford's CCRMA (415) 723 497, extension 300, ask for my diss. to be mailed to you, and get some interesting facts. For now, all that I can point out is that the main problem in discussing octave equivalence and expanded chroma in any meaningful way is the awareness of distinguishing between the psychophysical and cognitive domains. Therein lies the confusion. Enrique Moreno Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sat, 5 Oct 1996 20:24 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA14421; Sat, 5 Oct 1996 19:25:56 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA14412 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id LAA16944; Sat, 5 Oct 1996 11:25:53 -0700 Date: Sat, 5 Oct 1996 11:25:53 -0700 Message-Id: <961005182246_71670.2576_HHB44-7@CompuServe.COM> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu