source file: mills3.txt Date: Sun, 14 Dec 1997 02:42:55 +0100 Subject: Reply 2 to Graham Breed From: Gregg Gibson Graham Breed said: > As there is no modulation in Indian music, 436-cents thirds > will never arise, even if you follow Gregg's highly suspect > argument. Alas, the incommensurability of the thirds and fifths in 22-tone equal does not arise only when modulation is employed, which I have always been very careful to note. If, taking C as tonic, we tune by fifths of 709 cents, we have a G of 709 cents and a B of 1145 cents. These two intervals form a 'major third' of 436 cents. 22-tone equal melody is a tissue of such badly, indeed unrecognizably mistuned consonances. To pretend that Indian singers use major thirds of 436 cents is contradicted by all the studies I have seen. They may well use an interval between the major third and perfect fourth for purposes of ornament, but certainly not as the usual diatonic interval. The idea that a static scale ? la just intonation can be employed melodically so long as one does not modulate, fails to understand that it is not only in modulation that commensurable consonance is necessary; the very tissue of melody itself falls apart unless the consonances are conciliated by temperament. 22-tone equal does not do this, which is one reason why it is such a poor system. SMTPOriginator: tuning@eartha.mills.edu From: Gregg Gibson Subject: Reply 3 to Graham Breed PostedDate: 14-12-97 03:16:23 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: 14-12-97 03:14:29-14-12-97 03:14:30,14-12-97 03:14:11-14-12-97 03:14:12 DeliveredDate: 14-12-97 03:14:12 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 C125656D.000C4BD7; Sun, 14 Dec 1997 03:16:14 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA14789; Sun, 14 Dec 1997 03:16:23 +0100 Date: Sun, 14 Dec 1997 03:16:23 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA14794 Received: (qmail 101 invoked from network); 13 Dec 1997 18:16:21 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 13 Dec 1997 18:16:21 -0800 Message-Id: <3493A39E.1697@ww-interlink.net> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu