source file: mills3.txt Date: Tue, 23 Dec 1997 12:45:38 +0100 Subject: Re: 19, 22, 29, 41, 53 : 12 and multiples From: Paul Hahn On Tue, 23 Dec 1997, Robert C Valentine wrote: > Regarding 19TET in particular, perhaps it is the last temperment which > preserves "sameness" of the "big" and "small" major seconds (9:8, 10:9). Um, what? The nearness of 31, 43, and 55 TET to quarter, fifth, and sixth comma meantone has been known for hundreds of years. 31 is level-3 consistent through the 7-limit. 72TET is level 2 consistent through the 11 limit, BTW, and is used not only by Sims but by the Richter-Herf crowd. Wendy Carlos uses 144TET on Beauty In The Beast for her "Super-Just" 13-limit scale. On a theoretical basis, I would have preferred 270TET for a highly modulatory piece like she wrote, since 270 is the first tuning that is level-2 consistent through the 13-limit, but of course at such high numbers the difference is far too small for me to notice. --pH http://library.wustl.edu/~manynote O /\ "Do you like to gamble, Eddie? -\-\-- o Gamble money on pool games?" NOTE: dehyphenate address to remove spamblock. <*> SMTPOriginator: tuning@eartha.mills.edu From: Robert C Valentine Subject: 19, 22, 29, 41, 53 : 12 and multiples PostedDate: 23-12-97 13:14:54 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: 23-12-97 13:12:40-23-12-97 13:12:41,23-12-97 13:12:12-23-12-97 13:12:13 DeliveredDate: 23-12-97 13:12:13 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 C1256576.004312D1; Tue, 23 Dec 1997 13:14:33 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA24303; Tue, 23 Dec 1997 13:14:54 +0100 Date: Tue, 23 Dec 1997 13:14:54 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA24301 Received: (qmail 4419 invoked from network); 23 Dec 1997 04:14:46 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 23 Dec 1997 04:14:46 -0800 Message-Id: <9712231211.AA123846@ilx170.iil.intel.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu