source file: mills3.txt Date: Sat, 25 Oct 1997 04:33:58 +0200 Subject: 31/21 From: DrewLesso I really like ascending into these Harmonic depths. First of all Paul, I won't dispute your quip concerning Carl's ear, but it's quite a journey from 31/21 to 300000000000001/200000000000001 even though the ear cannot come along. I seem to remember a cartoon "Scientists Probing Blind with Instruments" from Utopia or Oblivion by Buckminster Fuller. The Harmonic usage is very important. If we are only concerned about aural feedback then Paul is definitely correct in his perceptions, but if we are dealing in the nature of the surrounding Harmonic territory and exact measurements then Carl's argument for consonance definitely wins the day. The beauty of Harmonics, of which Tuning is a branch, prescribes collections of interval relationships in a variety of disciplines. Paul, if I am leading to the absurdities you mentioned I guess it's intentional. Infinity/1 . . . 0/0 . . . 1/Infinity Lambdoma Matrix Monochord SMTPOriginator: tuning@eartha.mills.edu From: bq912@freenet.uchsc.edu (Neil G. Haverstick) Subject: ears and music (or sound) PostedDate: 25-10-97 19:37:37 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: 25-10-97 19:36:40-25-10-97 19:36:41,25-10-97 18:37:18-25-10-97 18:37:19 DeliveredDate: 25-10-97 18:37:19 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 C125653B.0060BC67; Sat, 25 Oct 1997 19:36:37 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA27367; Sat, 25 Oct 1997 19:37:37 +0200 Date: Sat, 25 Oct 1997 19:37:37 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA27351 Received: (qmail 22827 invoked from network); 25 Oct 1997 10:37:29 -0700 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 25 Oct 1997 10:37:29 -0700 Message-Id: <199710251735.LAA18033@freenet.uchsc.EDU> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu