source file: mills2.txt Date: Fri, 23 May 1997 16:54:10 +0200 Subject: RE: pure? From: Manuel.Op.de.Coul@ezh.nl (Manuel Op de Coul) SPurman554@aol.com writes: > Based on the C major scale in > 12TET, how should each note be tuned to most closely approximate a pure JI > tuning? Below is a tuning I found in a book: Gary's guess is almost right, the scale he gave is Ellis's Duodene. The one from your book is 135/128 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 9/5 15/8 2/1 but I've never seen it before. The only difference is the C# of 135/128, flat by a diaschisma from 16/15. If you transpose the scale by a fifth and then take the octave inverse, you get a lute tuning from Mersenne. 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; Fri, 23 May 1997 22:07 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA08874; Fri, 23 May 1997 22:07:31 +0200 Date: Fri, 23 May 1997 22:07:31 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA08879 Received: (qmail 17362 invoked from network); 23 May 1997 20:07:21 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 23 May 1997 20:07:21 -0000 Message-Id: <33856C00@fsdsmtpgw.fsd.jhuapl.edu> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu