source file: mills2.txt Date: Thu, 20 Feb 1997 21:07:35 -0800 Subject: more mystical talk From: Gary Morrison Forgive me if I'm getting involved in a side point here, but... -------------------- Begin Original Message -------------------- Message text written by Neil: "In 34 tone eq, you have a comma because of two separate circles of 5ths" -------------------- End Original Message -------------------- Weeeellll... the two circles are a pseudocomma apart alright, but I'm sure if 34TET's pseudocomma can be said to be because of its double circle of fifths. I suppose it may be OK to suggest the cause-effect in reverse. And certainly there are double-circle systems that DON't have pseudocomma problems, quartertones for example. The pseudocomma in 34TET, 22TET, and 53TET are due to the same source as the (real) comma in 5-limit JI: The (major) third of a chord does not appear four identical fifths above the root. Four 34TET fifths above the root of a chord is its supramajor third, 1/34 above the real major third. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 21 Feb 1997 06:11 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA13358; Fri, 21 Feb 1997 06:11:05 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA13352 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id VAA28353; Thu, 20 Feb 1997 21:09:20 -0800 Date: Thu, 20 Feb 1997 21:09:20 -0800 Message-Id: <199702210005_MC2-118C-A6B0@compuserve.com> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu