source file: mills3.txt Date: Wed, 29 Oct 1997 21:06:07 +0100 Subject: a definition of sensory dissonance From: William Sethares Yesterday, Carl wrote: >In fact, despite my requests, I have not heard anyone give any >definitions of consonance whatever regarding this thread. >I've heard plenty of where to find definitions, which dead scientists >the definitions I may find agree with, and what categories the >definitions can and can't fit into. I'm sure that Ranier Plomp would be somewhat surprised to find out that he is already dead. Here is a brief definition of sensory dissonance: (1) Define the sensory dissonance between two sine waves to be given by the psychoacoustic data gathered by Plomp and Levelt. (A simple approximation to this is given below). (2) Given two sounds F and G, one with partials at frequencies f1, f2, f3, f4, etc and the other with partials at frequencies g1, g2, g3, g4, etc. Define the sensory dissonance between F and G to be the sum of all the dissonances between all the sine wave partials, weighted by the relative amplitudes of the partials. Suppose two sine waves are at frequencies f and g. The data gathered by Plomp and Levelt can be parameterized as the difference between two exponentials exp(-a |f-g|) - exp(-b |f-g|) where a and b are constants. For details, see my paper in JASA, Sept 93. If you need a computer program that implements these calculations, I can mail you one. Bill Sethares SMTPOriginator: tuning@eartha.mills.edu From: "Jo A. Hainline" Subject: Re: deeper into the mire PostedDate: 29-10-97 21:50:53 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: 29-10-97 21:49:54-29-10-97 21:49:55,29-10-97 20:50:28-29-10-97 20:50:28 DeliveredDate: 29-10-97 20:50:28 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 C125653F.00726BFD; Wed, 29 Oct 1997 21:49:47 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA31203; Wed, 29 Oct 1997 21:50:53 +0100 Date: Wed, 29 Oct 1997 21:50:53 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA31200 Received: (qmail 4137 invoked from network); 29 Oct 1997 12:50:51 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 29 Oct 1997 12:50:51 -0800 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu