source file: mills3.txt Date: Wed, 31 Dec 1997 20:55:10 +0100 Subject: vertical/horizontal/motherlode From: "Paul H. Erlich" Any pitch in a score is participating in both vertical and horizontal relationships, unless the score is one-dimensional. Therefore it doesn't make sense to talk about having different sets of pitches for horizontal and vertical sonorities. Of course, homophony provides for one "melody" and one can reserve a subset of the pitches for this and another subset for everything else. But even so, the non-melody parts will have horizontal movement of their own, as well as diagonal ("cross-") relations with the melody itself. In contrapuntal music, all harmony is generated by the melody intertwining with its own imitations. In such a context, one needs a single set of pitches to provide all the melodic, harmonic, and diagonal ingredients of the piece. SMTPOriginator: tuning@eartha.mills.edu From: "Paul H. Erlich" Subject: RE: Measures of Scale PostedDate: 31-12-97 21:19:39 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: 31-12-97 21:17:15-31-12-97 21:17:16,31-12-97 21:16:38-31-12-97 21:16:39 DeliveredDate: 31-12-97 21:16:39 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 C125657E.006F6F8E; Wed, 31 Dec 1997 21:19:06 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA09158; Wed, 31 Dec 1997 21:19:39 +0100 Date: Wed, 31 Dec 1997 21:19:39 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA09131 Received: (qmail 28840 invoked from network); 31 Dec 1997 12:19:36 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 31 Dec 1997 12:19:36 -0800 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu