source file: mills2.txt Date: Sun, 20 Oct 1996 10:09:41 -0700 Subject: RE: Equal beating well temperaments, rep From: Gary Morrison <71670.2576@CompuServe.COM> > schismatic temperaments should refer > only to those with fifths larger than 700 cents. Otherwise, the diatonic > thirds are purer than the schismatic thirds, and the tuning is better > characterized as a meantone temperament That strikes me as a curious comment considering that third-, quarter-, fifth-, and sixth-comma meantone all have fifths smaller than 700c. > It doesn't seem useful to characterize a tuning as a tempering of the > pythagorean comma unless the tuning in question is an equal temperament. I'm inclined to agree. I suspect that Manuel used that either as a just a convenient point of comparison. Or perhaps he used it from the more well-temperamentish perspective of being able to sum the temperings of fifths around the circle (12 total) and arrive at -1. That of course only works when you temper things in terms of the pythagorean comma rather than syntonic. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sun, 20 Oct 1996 19:08 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04291; Sun, 20 Oct 1996 19:10:38 +0200 Received: from eartha.mills.edu by ns (smtpxd); id XA04296 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA05601; Sun, 20 Oct 1996 10:10:35 -0700 Date: Sun, 20 Oct 1996 10:10:35 -0700 Message-Id: <961020170425_71670.2576_HHB70-4@CompuServe.COM> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu