source file: mills3.txt Date: Thu, 30 Oct 1997 18:48:09 +0100 Subject: Re: TUNING digest 1222 From: Carl Lumma >> It must be something else, then, that causes additive patches to sound more >> like violins when you detune the harmonics. > >I suggest that "something else" is vibrato. I don't think it's vibrato. >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. Now we're talking! >For details, see my paper in JASA, Sept 93. Journal of Acoustic Science and Astrology? >If you need a computer program that implements these >calculations, I can mail you one. By all means! Intel version? >Just a simple thought--consonance, having to do with the relationship >between 2 or more pitches--when the intervals coincide with the harmonic >overtone series, they are consonant--when they do not or one of them does >not, they are not consonant, irregardless of how they "sound" to the ear. >What "sounds" pleasant is, I believe, much more of a learned thing than >seems to be generally acknowledged. 7/4 "sounds" perhaps a bit dissonant >in the 12TET world, but I believe is extremely consonant when developed in >the proper musical setting. Right. Likes and dislikes are products of behavior. Carl SMTPOriginator: tuning@eartha.mills.edu From: "Paul H. Erlich" Subject: RE: a definition of sensory dissonance PostedDate: 31-10-97 01:05:13 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: 31-10-97 01:04:12-31-10-97 01:04:13,31-10-97 00:04:45-31-10-97 00:04:45 DeliveredDate: 31-10-97 00:04:45 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 C1256541.00005FF7; Fri, 31 Oct 1997 01:04:05 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA00062; Fri, 31 Oct 1997 01:05:13 +0100 Date: Fri, 31 Oct 1997 01:05:13 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA00053 Received: (qmail 6385 invoked from network); 30 Oct 1997 16:05:07 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 30 Oct 1997 16:05:07 -0800 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu