source file: mills3.txt Date: Mon, 15 Dec 1997 19:57:55 +0100 Subject: dissonance curve From: Peter.Blasser@oberlin.edu I'm not up on my reading, so I'd like to ask a question about a dissonanc rating system. Is there one where you rate according to the absolute value of the log of each factor. An example best be placed here: dissonance of 3/2 = log2(3) + |log2(1/2)| = 1.584963 + 1 = 2.5863 dissonance of 11/8 = log2(11) + |(3 * log2(1/2)| = 3.45 + 3 = 6.45 dissonance of 32/31 = 5 * log2(2) + |log2(31)| = 5 + 4.954 = 9.954 This seems to be "fairer" on the higher limits, where, say a change from 71 to 73 would effect a dissonance change of 73/71, rather than 73-71 as some systems point to. Do you understand this. I just thought about it really hard this morning, and I don't know if it is correct. I think that the systems that assign a number (n-1) to a limit n would point to a dissonance change of 73-71, which is larger than it should be. e.g. again: old system: dissonance of 73/8 = 72+1+1+1 = 75 dissonance of 71/8 = 70+1+1+1 = 73 change of 2 this system: dissonance of 73/8 = log2(73) + 3log2(2) = 6.189 + 3 = 9.189 dissonance of 71/8 = log2(71) + 3log2(2) = 6.149 + 3 = 9.149 change of .05 If this exists, what is the name of it? What do you think of its validity? Thank you. +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ [Peter Blasser [Oberlin College Mailroom Box #277, 135 W.Lorain St., [Oberlin, Ohio, 44074-1081. [Peter.Blasser@Oberlin.edu . . . . +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ SMTPOriginator: tuning@eartha.mills.edu From: Peter.Blasser@oberlin.edu Subject: by the way PostedDate: 15-12-97 20:03:42 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: 15-12-97 20:01:38-15-12-97 20:01:39,15-12-97 20:01:19-15-12-97 20:01:19 DeliveredDate: 15-12-97 20:01:19 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 C125656E.00688397; Mon, 15 Dec 1997 20:03:30 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA16165; Mon, 15 Dec 1997 20:03:42 +0100 Date: Mon, 15 Dec 1997 20:03:42 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA16169 Received: (qmail 25727 invoked from network); 15 Dec 1997 11:03:38 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 15 Dec 1997 11:03:38 -0800 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu