source file: mills2.txt Date: Wed, 15 Jan 1997 13:18:42 -0800 Subject: More on the comma experiment From: Steven Rezsutek Gary M asked off-list if I had used V or V7 in my experiment, and what I actually did to deal with the comma problem in 22. I'm not sure if not using the V7 would alter things so far as the comma goes, but I left things as unadorned triads, and used only 3 voices, mostly to keep things as simple as I could, seeing as how I'm still learning much of this. (So please excuse the less than artful voice leading :) I've appended some notation below which illustrates how I made the progressions in 22. The source scale is 0-2-4-7-9-11-13-16-18-20, and the borrowed tone (deg 15) comes from the same scale on the dominant (13-15-17...) The "bad" version [ii "regular" minor triad]: 20 17 13 13 7 9 7 0 0 4 4 0 8va ---------------------------------------------------- 16 10 13 ^ | comma shifts I IV ii V I The "good" version [ii "diminished" triad with a subminor third]: 20 15 13 13 7 9 7 0 0 4 4 0 8va ---------------------------------------------------- 16 9 13 ^ | deg. 15 is borrowed tone Of course since then I think I've grokked a little more, so I'll probably go back and try this or similar exercises using 4 voices (as long as the stretch on the keyboard doesn't get out of hand, that is :) Gary, I hope this answers your questions well enough. I'm looking forward to your comments. Steve Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Wed, 15 Jan 1997 22:45 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04882; Wed, 15 Jan 1997 22:48:50 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA04989 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id NAA12193; Wed, 15 Jan 1997 13:48:48 -0800 Date: Wed, 15 Jan 1997 13:48:48 -0800 Message-Id: <199701152143.VAA01865@chiswick.globalnet.co.uk> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu