source file: mills3.txt Date: Tue, 12 Aug 1997 22:09:16 +0200 Subject: Re: TUNING digest 1151 From: Paul Rapoport I knew someone would pounce on my objection to general use of quartertone and say that syntonic comma should be restricted to 81:80. Thanks, Gary! However, I disagree. Syntonic comma may be defined algebraically and then applied to any tuning system in which that formula makes sense. 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? I know we've been over this before, but I think I'm being consistent. As far as I'm concerned, anyone is welcome to talk about quartertones in 31-tET; you just won't find them in the tuning. Any JI term that has an ET equivalent is probably OK to use in the tempered sense, as long as that use is understood. This is where "quartertone" is different: it's already a tempered term. Your turn, Gary. Paul Rapoport SMTPOriginator: tuning@eartha.mills.edu From: kukula@synopsys.com Subject: Natural Harmony PostedDate: 12-08-97 22:44:12 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: 12-08-97 22:44:14-12-08-97 22:44:15,12-08-97 22:42:37-12-08-97 22:42:38 DeliveredDate: 12-08-97 22:42:38 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C12564F1.0071E612; Tue, 12 Aug 1997 22:44:13 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA00459; Tue, 12 Aug 1997 22:44:12 +0200 Date: Tue, 12 Aug 1997 22:44:12 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA00457 Received: (qmail 20733 invoked from network); 12 Aug 1997 20:31:59 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 12 Aug 1997 20:31:59 -0000 Message-Id: <199708122027.NAA05498@sunatg3> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu