source file: mills2.txt Date: Sun, 20 Oct 1996 07:18:35 -0700 Subject: RE: More on equal beating tunings From: Manuel.Op.de.Coul@ezh.nl (Manuel Op de Coul) Thanks John for explaining the method for calculating beats. I realise where my blunder was. I had better read Rasch's article! I took the difference frequency between the just and the tempered interval for the beat rate. But it's not that but the partials in the octaves above that beat. So the value I gave for equal beating major third and fifth is in fact for the major third beating twice as fast as the fifth, and where it was twice it's in reality four times as fast. The last two ones labeled "other one" were an attempt to get the solution for the case with beating in the opposite direction as John demonstrated. Hopefully having it right now are these the values for equal beating major third and fifth for the positive schismatic mean-tone temperament: Equal: 701.7278 Opposite: 701.6910 Manuel Op de Coul coul@ezh.nl Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sun, 20 Oct 1996 19:07 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04284; Sun, 20 Oct 1996 19:08:57 +0200 Received: from eartha.mills.edu by ns (smtpxd); id XA04292 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA05250; Sun, 20 Oct 1996 10:08:54 -0700 Date: Sun, 20 Oct 1996 10:08:54 -0700 Message-Id: <961020170419_71670.2576_HHB70-3@CompuServe.COM> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu