source file: mills2.txt Date: Fri, 22 Nov 1996 17:00:45 -0800 Subject: Re: Fractional comma manifesto From: Paul Hahn On Thu, 21 Nov 1996, Kami Rousseau wrote: > We use 31TET, 53TET and 72TET to approximate just intervals, like > 5/4 > and 7/4. But what are we _really_ doing? Stacking up an infinity of > 3/2's! In > a certain sense, using a ET scale means playing in an extended 3-limit > tuning. I can't quite agree--for example, if you try to derive 72TET from a spiral of fifths it closes after twelve steps. You need to throw in at least one higher-limit interval to make a two-dimensional web. --pH (manynote@library.wustl.edu or http://library.wustl.edu/~manynote) O /\ "How about that? The guy can't run six balls, -\-\-- o and they make him president." Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sat, 23 Nov 1996 02:00 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04564; Sat, 23 Nov 1996 02:01:30 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA04750 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id RAA07050; Fri, 22 Nov 1996 17:01:27 -0800 Date: Fri, 22 Nov 1996 17:01:27 -0800 Message-Id: <199611220508_MC1-C58-1941@compuserve.com> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu