source file: mills3.txt Date: Tue, 29 Jul 1997 04:18:21 +0200 Subject: Re: theories From: mr88cet@texas.net (Gary Morrison) As I often find myself doing, I'd like to second Neil's most recent request: I too think it would be great, if somebody can spare a half hour or so, to briefly list the essential underlying concepts, and summarize at least some of the discussion that has gone down about them. Even though I'm at least fairly familiar with many of these underlying concepts, to be honest with you, I've gotten rather lost in the myriads of messages as to what, if any, conclusions have come of them. On a related note: I found Neil's suggestion that the purpose of math "seems to be explaining the Universe in terms of various numerical balances" curious. I personally think that a better way to view musical math is as a modeling tool: Once you choose a concept by which you quantify some aspect of musical perception, math gives you a "bag of tricks" to apply that concept in ways that aren't otherwise apparent. For example, once we accept that our ears perceive pitch changes as multipliers of frequency, the mathematical principles of logarithms and exponentials tells us what that multiplier is for a 12TET half-step. SMTPOriginator: tuning@eartha.mills.edu From: DMB5561719@aol.com Subject: Re: theories PostedDate: 29-07-97 14:43:14 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: 29-07-97 14:57:46-29-07-97 14:57:46,29-07-97 14:56:34-29-07-97 14:56:35 DeliveredDate: 29-07-97 14:56:35 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C12564E3.0045E1D4; Tue, 29 Jul 1997 14:43:17 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA24651; Tue, 29 Jul 1997 14:43:14 +0200 Date: Tue, 29 Jul 1997 14:43:14 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA24641 Received: (qmail 973 invoked from network); 29 Jul 1997 12:42:49 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 29 Jul 1997 12:42:49 -0000 Message-Id: <970729083948_2093404914@emout16.mail.aol.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu