source file: mills3.txt Date: Fri, 9 Jan 1998 21:31:29 +0100 Subject: Re: 22TET From: alves@orion.ac.hmc.edu (Bill Alves) Carl, Looking at your 22TET JI approximation, it occurs to me that it will all fit pretty neatly into the 11 limit. You have 31/16, and, by implication its inversion 32/31, but 33/32 is only 1 cent off, and is already present in the distance between the 4/3 and the 11/8 (or 3/2 and 16/11). Likewise 40/33, while a couple of cents further off than 23/19 that you use, also uses this interval down from the 5/4. A 25/22 (11/10 down from 5/4) is just 2 cents worse than your 17/15. While the 600 cent interval is always a problem in low limit JIs, 99/70 (7/6 down from 33/20), though not exactly a pretty ratio, nails it. Here are my suggestions in your format, with inversions filled in: > 1- 55 33/32 (1) > 2- 109 16/15 (3) > 3- 164 11/10 (1) > 4- 218 25/22 (3) > 5- 273 7/6 (6) > 6- 327 40/33 (6) > 7- 382 5/4 (4) > 8- 436 9/7 (1) > 9- 491 4/3 (7) >10- 545 11/8 (6) >11- 600 99/70 (0) >12- 655 16/11 (6) >13- 709 3/2 (7) >14- 764 14/9 (1) >15- 818 8/5 (4) >16- 873 33/20 (6) >17- 927 12/7 (6) >18- 982 44/25 (3) >19- 1036 20/11 (1) >20- 1091 15/8 (3) >21- 1145 64/33 (0) >22- 1200 2/1 (0) I understand that you may be using different criteria for your approximations, so I just offer these as another possible interpretation and look forward to your paper. Bill ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^ Bill Alves email: alves@hmc.edu ^ ^ Harvey Mudd College URL: http://www2.hmc.edu/~alves/ ^ ^ 301 E. Twelfth St. (909)607-4170 (office) ^ ^ Claremont CA 91711 USA (909)607-7600 (fax) ^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ SMTPOriginator: tuning@eartha.mills.edu From: Steven Rezsutek Subject: Re: PostedDate: 09-01-98 23:56:17 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 09-01-98 23:55:52-09-01-98 23:55:52,09-01-98 23:55:44-09-01-98 23:55:45 DeliveredDate: 09-01-98 23:55:45 Categories: $Revisions: Received: from ns.ezh.nl ([137.174.112.59]) by notesrv2.ezh.nl (Lotus SMTP MTA SMTP v4.6 (462.2 9-3-1997)) with SMTP id C1256587.007DF354; Fri, 9 Jan 1998 23:56:11 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA21420; Fri, 9 Jan 1998 23:56:17 +0100 Date: Fri, 9 Jan 1998 23:56:17 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA17427 Received: (qmail 29867 invoked from network); 9 Jan 1998 14:56:13 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 9 Jan 1998 14:56:13 -0800 Message-Id: <199801092206.RAA21071@doghouse.hq.nasa.gov> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu