source file: mills3.txt Date: Fri, 26 Sep 1997 00:07:31 +0200 Subject: Re: 22tet and 24tet From: Paul Hahn On Thu, 25 Sep 1997 Peter.Blasser@oberlin.edu wrote: > After testing 22tet and 24tet on a spreadsheet application, I must ask why > 22tet is better at imitating 11 limit ratios. [snip] You can't just consider the intervals in isolation. Consider how 5/4 and 7/4 are represented in 24TET. The closest approximation to 5/4 is 8 steps. The closest approximation to 7/4 is 19 steps. But the closest approximation to 7/5 is 12 steps, which doesn't equal 19 minus 8. So how are you going to tune a 4:5:7 triad in 24TET? --pH http://library.wustl.edu/~manynote <*> O /\ "Well, so far, every time I break he runs out. -\-\-- o But he's gotta slip up sometime . . . " SMTPOriginator: tuning@eartha.mills.edu From: neuwirth@smc.univie.ac.at Subject: Re: TUNING digest 1189 PostedDate: 26-09-97 14:16:14 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: 26-09-97 14:15:56-26-09-97 14:15:57,26-09-97 14:14:59-26-09-97 14:14:59 DeliveredDate: 26-09-97 14:14:59 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C125651E.00435D9F; Fri, 26 Sep 1997 14:15:48 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA31813; Fri, 26 Sep 1997 14:16:14 +0200 Date: Fri, 26 Sep 1997 14:16:14 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA31802 Received: (qmail 2318 invoked from network); 26 Sep 1997 05:16:09 -0700 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 26 Sep 1997 05:16:09 -0700 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu