source file: mills2.txt Date: Fri, 17 Jan 1997 17:21:10 -0800 Subject: RE: Reply to Pat Missin From: PAULE Note that I don't agree with James Tenney here, nor am I appealing to authority, but the assymmetry is strong enough to cause exaggerated responses an obviously careful listener. Even Daniel and Little Wolf preferred 10 12 15 17 to /12 /10 /8 /7, despite the smaller numbers in the latter.*** Only in changing the comparison to 17 20 24 30 vs. /7 /6 /5 /4 does the subharmonic version win out. The real test, Daniel, is to start with a just minor triad in sine waves, and then, without looking at the numbers, and starting far away from the target pitch, try to tune a fourth sine wave to the /7 or 17 purely by ear. If you can do the former with anywhere near the accuracy with which you can do the latter, I'll eat my hat. ***Yes, in tuning the added major sixth to the 17 above a minor triad 10 12 15, two double difference tones will stop beating: the 2 and the 5. But a true test of symmetry would be whether you and your little one also think /17 /15 /12 /10 is more consonant than 7 8 10 12. If you think I'm posting a lot, be glad I'm in digest mode! Have a nice weekend. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 20 Jan 1997 19:16 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA08580; Sun, 19 Jan 1997 17:42:41 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA07721 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id IAA17546; Sun, 19 Jan 1997 08:42:38 -0800 Date: Sun, 19 Jan 1997 08:42:38 -0800 Message-Id: <32E24E44.3FB9@top.monad.net> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu