source file: mills3.txt Date: Fri, 26 Sep 1997 23:15:34 +0200 Subject: Misc From: Carl Lumma >From: Paul Hahn > >It seems to me what Ivor was getting at was probably the fact that 12 >has many factors, which allows one to create what theorists call "scales >of limited transposition". E.g. 3 1 3 1 3 1 has only four different >transpositions, because transposed by 4 steps it's unchanged. (You can >create such a scale because 4 is a divisor of 12.) OTOH, in 19TET it's >impossible to create such scales, because 19 is prime. Yeah, it seems like this is more like it. Thanks again, Paul! >From: "Paul H. Erlich" >Carl Lumma wrote, > >>If we can agree that there is a difference between re-tuning music made for >>100 cent equal, as powerful a model and good-sounding a tuning as it is, and >>playing music made for 7+ limit Just Intonation, however embellished, > >I agree! That's why I'm more interested in 22-tet than 19, 31, or >50-tet. Whoops! I lost you. SMTPOriginator: tuning@eartha.mills.edu From: jszanto@adnc.com Subject: lumma, TET PostedDate: 27-09-97 02:18:31 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: 27-09-97 02:18:10-27-09-97 02:18:10,27-09-97 02:17:12-27-09-97 02:17:13 DeliveredDate: 27-09-97 02:17:13 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C125651F.0001A7A5; Sat, 27 Sep 1997 02:18:04 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA32502; Sat, 27 Sep 1997 02:18:31 +0200 Date: Sat, 27 Sep 1997 02:18:31 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA32491 Received: (qmail 29489 invoked from network); 26 Sep 1997 17:18:27 -0700 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 26 Sep 1997 17:18:27 -0700 Message-Id: <3.0.2.32.19970926171102.006b4cac@adnc.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu