a definition of sensory dissonance

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