source file: mills3.txt Date: Wed, 10 Dec 1997 00:10:25 +0100 Subject: to G. Gibson From: "Paul H. Erlich" Bill Alves wrote, >Anyway, I do not choose tuning systems to make sure that a melody is >perceived as different if I choose a slightly altered set of intervals. Well said! Choosing a tuning system with that justification might make sense in some algorithmic composition contexts but otherwise seems poorly motivated. Besides, Turkish musicians are trained in 53-tone and can readily distinguish between, and perform in, scales where one member is displaced by a comma (as often happens when comparing Turkish, Persian, and Hindu scales). Gregg Gibson wrote, >>I have used tree diagrams to examine all the possible heptatonic modes >>of the 19-tone equal that have a modicum of consonant intervals and >>chords, hence the four new modal genera, which I have previously >>suggested might profitably be added to the diatonic. In harmony these 28 >>new modes constitute what may be called the chromatic music, whose >>existence has been hitherto intuited, but never plainly defined. > >All of these 28 modes are well-represented in 12-equal. Or, if one accepts >the 12-equal version of the 7 diatonic modes, one should accept the 12-equal >version of the other 21 modes as well. I use them all the time on the 12 >guitar and have developed exercises for learning 18 of them. So how are these >modes a justification for 19-equal? > >Let me again suggest that the observed phenomenon of just over a quarter-tone >being the smallest accepted melodic interval is nothing more that the result >of a learned 12-equal template (albeit a movable one for those without >perfect pitch). Intervals from just over a quarter tone to just under >3/4-tone will be classified in the same group by those whose musical >experience has been limited to 12-equal. Similarly, intervals less than a >quarter tone will most closely resemble unisons in their field of experience. > > SMTPOriginator: tuning@eartha.mills.edu From: Gregg Gibson Subject: Reply to Paul Ehrlich PostedDate: 10-12-97 01:06:59 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: 10-12-97 01:05:02-10-12-97 01:05:03,10-12-97 01:04:49-10-12-97 01:04:50 DeliveredDate: 10-12-97 01:04:50 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 C1256569.0001B8F1; Wed, 10 Dec 1997 01:05:00 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA11062; Wed, 10 Dec 1997 01:06:59 +0100 Date: Wed, 10 Dec 1997 01:06:59 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA11063 Received: (qmail 23366 invoked from network); 9 Dec 1997 16:06:32 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 9 Dec 1997 16:06:32 -0800 Message-Id: <348E3F38.29D0@ww-interlink.net> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu