source file: mills3.txt Date: Tue, 19 Aug 1997 19:37:52 +0200 Subject: Reply to Graham Breed From: "Paul H. Erlich" I regret that our previous discussions were interrupted due to problems with the list server. I'd be happy to continue discussing those issues if you are so inclined. But I'd like to understand this question: >Now, does anyone know of a 2-D approximation (linear >temperament) that covers 22tet? Approximating the >enharmonic diesis (7 0 -3)H and syntonic comma (-4 4 -1)H >to be equal doesn't work. If it did, it would cover 12, 22, >34 and 46tet. It is, incidentally, significant that these >are all even numbers. I would appreciate some clarification here, as I'm not sure what this question means. However, I'll take a stab at it. In the ancient Hindu sruti system, the syntonic comma (-4 4 -1) is reckoned as one sruti, while the interval 2048/2025 (is that a diaskhisma?) is zero srutis. That last interval is (11 -4 -2)H, I believe. Does that "work" (and does this help to explain why 22 was usually chosen as the total number of srutis)? I like to see 22tet in 3-D. Take the 7:5 and 10:7 to be equal, and temper the fifths upwards by about 1/4 septimal comma so that four of them make close to a just 9:7. Voila, 22tet. SMTPOriginator: tuning@eartha.mills.edu From: Denis.Atadan@mvs.udel.edu Subject: Tape Swap Participants PostedDate: 19-08-97 22:49:22 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $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: 19-08-97 22:49:27-19-08-97 22:49:28,19-08-97 22:47:25-19-08-97 22:47:25 DeliveredDate: 19-08-97 22:47:25 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C12564F8.00726213; Tue, 19 Aug 1997 22:49:22 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA02115; Tue, 19 Aug 1997 22:49:22 +0200 Date: Tue, 19 Aug 1997 22:49:22 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA02110 Received: (qmail 27839 invoked from network); 19 Aug 1997 20:49:11 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 19 Aug 1997 20:49:11 -0000 Message-Id: <199708192004.QAA05119@copland.udel.edu> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu