source file: mills2.txt Date: Sat, 8 Mar 1997 20:48:34 -0800 Subject: ps From: Gary Morrison I'm jumping into this conversation in mid-course, so I may well be missing the context. If so, my apologies. -------------------- Begin Original Message -------------------- Message text written by INTERNET:tuning@ella.mills.edu "ergo, the distinction between C# and Db makes sense _only_ in well temperament. But of course, you can't set two different temperaments at once, at least not on a piano. " -------------------- End Original Message -------------------- Welll... Certainly C# and Db are different in meantone temperaments and just intonation as well as in well temperaments. And also in 17TET, 19TET and 31TET as well. But even if they are tuned exactly the same as they are in 12TET or 24TET, the two notes are functionally different. C# is nominally the leading tone in the key of D, and Db ... well, Db could be a number of formulations, like the seventh of a dominant seventh in the key of Ab, or the root of a Neapolitan in C. Certainly those keys are not extremely closely related, so the reasons why C# and Db should be identical (or bear any particular relationship to one another), are fairly complex. A tritone substitution, however, can get you from D to Ab in a flash, so that's probably the most direct relationship between the two. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sun, 9 Mar 1997 05:50 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA10048; Sun, 9 Mar 1997 05:50:36 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA09860 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id UAA02860; Sat, 8 Mar 1997 20:49:09 -0800 Date: Sat, 8 Mar 1997 20:49:09 -0800 Message-Id: <199703082345_MC2-124D-A3A9@compuserve.com> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu