source file: mills2.txt Date: Wed, 12 Mar 1997 15:02:17 -0800 Subject: RE: Positive Linear Temperaments From: Manuel.Op.de.Coul@ezh.nl (Manuel Op de Coul) From: PAULE John C. wrote: >Doubly postive systems resembling 22-tet are also possible. I >will post some such tunings at a later date. What is the definition of "doubly positive?" Do you mean, two positive systems separated by exactly one-half octave? If so, I hope you don't give away any more of my secrets, at least until XH 17 comes out, which is, when? Or did someone else come up with the idea of two positive systems separated by exactly one-half octave before I did? (My paper includes, in addition to new ideas on what 22-tet does, two optimized "doubly positive (?)" systems for doing what 22-tet does. 22-equal actually falls in between the unweighted and weighted solutions, which no other equal tuning without vastly more notes can claim.) Also worth considering are doubly negative systems resembling 26-tet and triply positive systems resembling 27-tet, if I am using this language correctly. -Paul E. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Thu, 13 Mar 1997 00:04 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04966; Thu, 13 Mar 1997 00:04:21 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA04962 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id PAA15209; Wed, 12 Mar 1997 15:02:45 -0800 Date: Wed, 12 Mar 1997 15:02:45 -0800 Message-Id: <009B12C615F0F9A3.6A55@vbv40.ezh.nl> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu