source file: mills2.txt Date: Fri, 22 Nov 1996 15:55:32 -0800 Subject: FW: Discussion on "Reply to Gary Morriso From: PAULE Don't want to leave anyone out. . . ---------- From: Paul H. Erlich To: Heinz Bohlen Subject: Re: Discussion on "Reply to Gary Morriso Date: Friday, November 22, 1996 9:02AM >I find >overtones much less important under harmonic aspects than >combination tones. Many on the list, primarily Bill Sethares (are you familiar with his work?), have the opposite viewpoint. I try to emphasize both, since both seem very important in defining consonance as I hear it. A third property is close to combination tones in its implications for consonance but is perhaps more important since it does not require loud volumes: the "virtual pitch" property; i.e., the closer the chord is to a harmonic series, the more clearly a "root" will be perceived (by the same means by which we hear a harmonic series as a single pitch), and the more consonant the chord will be. >2.) With regard to subsets of the scale: Unlike Pierce's obviously >preferred subscale 0 1 3 4 6 7 9 10 12 (13), I defined two "diatonic" >scales, a "Delta" scale 0 2 3 5 6 7 9 10 12 (13) and a "Gamma" scale 0 1 >3 4 6 7 8 10 12 (13). I like the "Gamma" best, but that is a personal view. I'll have to try these different modes out! As you may have read, Gary Morrison and I have both experimented with this tuning and fail to hear any 3:1 equivalence. We hear the nearest approximations of 2:1 and 4:1 in the scale as being the closest equivalences, even when square waves are used. Do you think Enrique is right that we have been brainwashed and just need to be re-brainwashed, or is the experimental evidence for equivalence at a (slightly stretched) 2:1 valid? Many studies have found evidence for octave equivalence in mammals. . . Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sat, 23 Nov 1996 00:55 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04704; Sat, 23 Nov 1996 00:56:33 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA04682 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id PAA02361; Fri, 22 Nov 1996 15:56:31 -0800 Date: Fri, 22 Nov 1996 15:56:31 -0800 Message-Id: <01961122172310/0005695065PK3EM@MCIMAIL.COM> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu