On 22-tET and commas, I have no idea where the pseudo terminology came from, but the syntonic comma in 22 is just as real as anywhere else. In equal temperament systems, no comma will equal 81:80. If the syntonic comma is defined as usual, then it is one unit of this tuning, appx. 54.545 cents.
Gary, I wouldn't give the same note name, e.g. E, to two different notes, although I see why you did that. But even in the key of C you will sometimes need one E and sometimes the other.
Paul Rapoport
Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 28 Apr 1997 06:46 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA32186; Mon, 28 Apr 1997 06:46:34 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA32243 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id VAA00960; Sun, 27 Apr 1997 21:44:49 -0700 Date: Sun, 27 Apr 1997 21:44:49 -0700 Message-Id: <33642F82.883@dnvr.uswest.net> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu
>and I don't agree with Morrison that this comma is either an error, or >something to be avoided; I am learning to embrace it, work with it...the >results are totally unique.
I was using the word "error" in the mathematical sense of the word: a difference - pitch difference in this case. That's all. Call it a pseudocomma "delta" if you'd like. And I agree that it is indeed a very useful musical effect.
It's a "pseudo"comma rather than a comma for two reasons: * It does what it does on closed set of pitches rather than producing an open set of pitches like the ... original, official, or whatever you want to call it ... syntonic comma. * It's not an 81:80 frequency ratio.
Neither Ivor nor I intended "pseudo" to suggest that its not real, nor "error" to suggest that its a mistake.
Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Tue, 29 Apr 1997 03:25 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA00109; Tue, 29 Apr 1997 03:25:28 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA00137 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id SAA27968; Mon, 28 Apr 1997 18:23:34 -0700 Date: Mon, 28 Apr 1997 18:23:34 -0700 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu