source file: mills3.txt Date: Fri, 19 Dec 1997 19:12:35 +0100 Subject: 9-limit JI -- playing with fire again From: Steven Rezsutek I was paper-noodling the other day, and came up with what to me looks like a useable scheme for dealing with, if you will, 9 limit JI. Keep in mind that I'm still learning this stuff so "usable" for me may mean "trivial" for some of you. ;-) What I came up with -- and it's hardly earth shattering being right out of Partch's diamonds -- were two tone clusters: Utonality: 7/9 - 1/1 - 7/6 - 7/5 - 7/4 Otonality: 1/1 - 5/4 - 3/2 - 7/4 - 9/4 What stuck out, and I was inspired to look at it this way both by something Paul Erlich wrote, and by seeing the changes in the Helmholtz consonance graph under the influence of multiple drones seperated by 3/2s, is that there are two tones which seem to be structurally significant. For lack of better terms, I'm referring to them as "root" and "axis". The "root" is the 1/1 in the Partchian sense, and the axis is a tone that has a 3/2 above and below. In the Utonal, the root is 1/1 and the axis is 7/6, where in the Otonal the root is 1/1 and the axis is 3/2. As an isolated interval, I've for some time preferred the 7/6 to the 6/5 to give a "minor" feel, so this is intriguing to me. I started to play around with permutations, exchanging root and axis and such, and on paper it looks like there might something to work with here. It also looks like one could think of it as a pair of 4:5:6 and 6:7:9 chords, or their utonal counterparts. [Polytonality?] I don't have any polyphonic instruments set up in JI at the moment, though I'm hoping to put some rough 22tet stuff (so I can practice other parts and refine it) to tape over the holidays, after which I'll probably be more motivated to retune my synth (retuning it is a pain). In the meantime, I tried the utonal chord on my 22tet guitar, playing it "stick style", and found it to be quite pleasing, even in its tempered form, though I haven't try doing anything with it yet (it was getting late :) Comments? Advice? Thanks, Steve SMTPOriginator: tuning@eartha.mills.edu From: jinetwk@dnai.com (Just Intonation Network) Subject: Re: TUNING digest 1272 PostedDate: 20-12-97 01:31:55 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: 20-12-97 01:29:49-20-12-97 01:29:50,20-12-97 01:29:25-20-12-97 01:29:26 DeliveredDate: 20-12-97 01:29:26 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 C1256573.0002DD82; Sat, 20 Dec 1997 01:31:38 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA22378; Sat, 20 Dec 1997 01:31:55 +0100 Date: Sat, 20 Dec 1997 01:31:55 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA22400 Received: (qmail 1627 invoked from network); 19 Dec 1997 16:31:51 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 19 Dec 1997 16:31:51 -0800 Message-Id: <199712200031.QAA29998@hopf.dnai.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu