source file: mills2.txt Date: Thu, 20 Feb 1997 21:22:02 -0800 Subject: RE: Reply to Neil from Paul From: Gary Morrison -------------------- Begin Original Message -------------------- Message text written by INTERNET:tuning@ella.mills.edu ">I probably ought to let Neil speak for himself, but I suspect that he meant >less specifically than the harmonic series itself, but JI in general. I see no difference here. I could say, "19 consistenly represents 9-limit JI and 34 consistenly represents 5-limit JI," but I didn't want to start the odd vs. prime debate on the definition of "limit" again. " -------------------- End Original Message -------------------- I'm not sure about 19 or 34 right off the top of my head, but there is a difference: Approximating the harmonic series itself forces them to be represented relative to the fundamental of that series. Two harmonic approximations in some equal-temperament could, for example, be way flat of the harmonics they are closest to, but if they are nearly equally flat, then that tuning will have a pretty good approximation to that frequency ratio, but not of either of those harmonics. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 21 Feb 1997 08:38 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA13461; Fri, 21 Feb 1997 08:38:16 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA13414 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id XAA04971; Thu, 20 Feb 1997 23:36:29 -0800 Date: Thu, 20 Feb 1997 23:36:29 -0800 Message-Id: <330CE709.20D6@ix.netcom.com> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu