source file: mills3.txt Date: Wed, 19 Nov 1997 01:36:37 +0100 Subject: The severity of scale From: Carl Lumma >>Does this mean that you're going to go over to squared detuning? > >Go over from where? I used squared error as the loss function to calculate >optimal meantone temperaments and the quality of equal-tempered >approximations in many posts here. When I said that the maximum error was 20 >cents, would it have made any difference to say that the maximum squared >error is 400 cents squared? No, it would have just made me sound silly. Actually, the difference between squared detuning and regular detuning is quite important: it means that our intervals get worse exponentially. The regular, "cents detuning" method strongly implies arithmatic worsening. Carl SMTPOriginator: tuning@eartha.mills.edu From: wcooper@socrates.berkeley.edu Subject: New freeware tuning program PostedDate: 19-11-97 05:18:45 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: 19-11-97 05:17:24-19-11-97 05:17:25,19-11-97 05:17:33-19-11-97 05:17:34 DeliveredDate: 19-11-97 05:17:34 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 C1256554.00178D35; Wed, 19 Nov 1997 05:17:14 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA02418; Wed, 19 Nov 1997 05:18:45 +0100 Date: Wed, 19 Nov 1997 05:18:45 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA02416 Received: (qmail 20366 invoked from network); 18 Nov 1997 20:18:42 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 18 Nov 1997 20:18:42 -0800 Message-Id: <199711190417.UAA20715@socrates.berkeley.edu> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu