source file: mills3.txt Date: Tue, 13 Jan 1998 04:04:21 +0100 Subject: RE: Clearer From: "Paul H. Erlich" Carl, I like your suggestions on the sentences comparing 7-limit temperaments to 5-limit 12-equal. I encourage you to change those in your .pdf version of the paper (which already looks good). }I'm with you on the need for a generalized diatonic scale, but I missed the }definition. I don't see why a fifth is ever anything but the fifth degree }of a scale. The tritone isn't part of the "unaltered diatonic" scale, so I }can't see how it can be a type of 5th or 4th degree in that scale. A 5th or 4th does not have to occur between the tonic and another scale degree. The interval between the 4th and 7th in a major key is an >augmented fourth. > >}How do you define dissonace, as in "characteristic dissonance", at a given >}odd limit? An interval whose ratio involves odd numbers (after factors of >}two are taken out) bigger than the limit? > >Yes, I thought my paper made that clear. SMTPOriginator: tuning@eartha.mills.edu From: "Paul H. Erlich" Subject: RE: Tritone ratios PostedDate: 13-01-98 04:10:43 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $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: 13-01-98 04:10:12-13-01-98 04:10:12,13-01-98 04:10:01-13-01-98 04:10:01 DeliveredDate: 13-01-98 04:10:01 Categories: $Revisions: Received: from ns.ezh.nl ([137.174.112.59]) by notesrv2.ezh.nl (Lotus SMTP MTA SMTP v4.6 (462.2 9-3-1997)) with SMTP id C125658B.001166D7; Tue, 13 Jan 1998 04:10:33 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA23594; Tue, 13 Jan 1998 04:10:43 +0100 Date: Tue, 13 Jan 1998 04:10:43 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA23667 Received: (qmail 25393 invoked from network); 12 Jan 1998 19:10:41 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 12 Jan 1998 19:10:41 -0800 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu