source file: mills2.txt Date: Thu, 23 Jan 1997 13:03:27 -0800 Subject: Re: re as submediant of IV or dominant of V From: Joseph Downing On Thu, 23 Jan 1997, Gary Morrison wrote: > > In my (modestly named) "DOWNING I", I tune the Ds above middle C as the > > dominant of V, and the Ds below middle C as the submediant of IV. > > Oooo. As with cases of playing in more than one tuning at a time, I'd > have to think about that one, and for similar reasons... > > > I just have to be careful how I voice chords. > > Do you have any methodical ways of addressing that, or just trial with > hopefully not too much error? > Actually, I tuned C# and F# as eleventh partials, and Eb, Bb and Ab as seventh partials. After a little experimenting, I realized that all of these notes were pretty useless below middle C, as they need to be relatively high in a chord voicing to sound smooth. So, then I went back and tuned the black notes below middle C to more useful pitches. That's when I realized that I could also use different Ds above and below middle C. I decided to use the D that's a fifth above G for the notes above middle C, and the D that's a third below F for the notes below middle C because the D below middle C is more likely to serve as a root of a ii chord (and its advantageous to have a low note for a root) while the D above G is more likely to be voiced as an upper voice. BTW, I will be doing a presentation for the local piano tuners guild in March demonstrating this tuning and a couple of pieces. I also use this tuning to demonstrate intervals to my sight singing classes. Even the non-major class yesterday could hear the difference between the 8:9 and 9:10 major seconds. (And they really liked a Gershwin excerpt of Prelude #2 which showed the 6:7 'blue' third!) Joe Downing, in Syracuse Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Thu, 23 Jan 1997 23:37 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA13359; Thu, 23 Jan 1997 23:37:39 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA12673 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id OAA20787; Thu, 23 Jan 1997 14:37:33 -0800 Date: Thu, 23 Jan 1997 14:37:33 -0800 Message-Id: <9701221718.AA15396@arthaud.saclay.cea.fr> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu