source file: mills3.txt Date: Sun, 24 Aug 1997 16:09:33 +0200 Subject: Re: Pitch Relations and Frequency Ratios From: mr88cet@texas.net (Gary Morrison) > To say, for example, that 53-tET has no syntonic comma isn't helpful. > Sure it's tempered, but so are all ET intervals, including the perfect > fifth, a term which is not restricted to 3/2 in common usage. What's > so special about 81/80? In short, two things: 1. 81:80 is a well-known means of creating an open system of tuning - one with an indefinite number of tones per octave. Ivor Darreg felt, and I agree, that that property is as important as the fact that it's the pitch difference between the dominant of the dominant and the submediant of the subdominant, or at least too important to relegate it to a minor subdistinction within a larger category. 2. The syntonic comma, in its historical usage as 81:80 has become a mathe- matical unit of meantone temperament. It seems risky to lump a yard in with a meter and call them both meters! SMTPOriginator: tuning@eartha.mills.edu From: non12@deltanet.com Subject: Doubly Positive systems PostedDate: 24-08-97 17:23:31 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 28-08-97 09:57:43-28-08-97 09:57:43,28-08-97 09:55:16-28-08-97 09:55:17 DeliveredDate: 28-08-97 09:55:17 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C12564FD.00548A67; Sun, 24 Aug 1997 17:23:24 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA20462; Sun, 24 Aug 1997 17:23:31 +0200 Date: Sun, 24 Aug 1997 17:23:31 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA20465 Received: (qmail 27012 invoked from network); 24 Aug 1997 15:23:29 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 24 Aug 1997 15:23:29 -0000 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu