source file: mills3.txt Date: Sat, 1 Nov 1997 11:21:48 +0100 Subject: Paul's postings From: Daniel Wolf It is interesting that in a recent posting, Paul Erlich seems to admit th= e role of conditioning in interval preference. I think that this and a broader contextual base are necessary elements in a useful theory. (By a ''broader contextual base'', I mean to include alternative musical contex= ts and in particular those that allow for longer listening periods. Clearly,= a classical _Presto_ is going to allow for shorter sampling periods than a music with a 24-hour drone. In the latter case, a difference of a fractio= n of a cent may become vivid.) Regarding the spectra of real string instruments: I tried a small experiment with my Javanese rebab, an e-bow, a band-pass filter and a frequency counter. Driving each brass string with the e-bow so as to redu= ce deviations caused by bowing, I then isolated individual partials, and measured so as to compare with integer multiple frequencies. I found deviations as follows: octave: +4cents, -5 cents; twelfth: +5cents, +4 cents, double octave: -3cents, +8cents. I suspect that what is going on is the following: the wire would like to vibrate in exact integer multiples, but the composition of the wire is uneven enough that the nodal points are shifted a bit and the actual frequency of the partial heard reflects the actual length of the part of the string closest to the bridge. = I suspect that the deviation in gut strings would be larger due to greate= r inconsistancies in the materials, but that using a real bow will tend to obviate these deviations, in a chorus-like effect. Incidentally, Paul's earlier claim that flageolet tones would be sharp du= e to stretching the string cannot be born out. In a recording session this year at Hessischer Rundfuk, we had great problems with the flageolets on the cellist's G string. They sounded all wrong, so I asked the Tonmeister= to measure them. Some were sharp, but most were too low! The cellist put = on a new string and everything improved to an acceptable level. I thought th= at the string removed must have been very old. I later asked the cellist and= he said that, no, in fact it had been put on only the day before. SMTPOriginator: tuning@eartha.mills.edu From: DMB5561719@aol.com Subject: Dream House PostedDate: 02-11-97 01:10:27 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: 03-11-97 19:21:42-03-11-97 19:21:42,03-11-97 18:22:07-03-11-97 18:22:08 DeliveredDate: 03-11-97 18:22:08 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 C1256544.0064DC82; Mon, 3 Nov 1997 19:21:40 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA01279; Mon, 3 Nov 1997 19:22:51 +0100 Received: from ns.NL.net by ns (smtpxd); id XA01277 Received: by ns.NL.net (5.65b/NLnet1.3) id AA18929; Mon, 3 Nov 1997 12:07:36 +0100 Received: from contura.NL.net by ns.NL.net (5.65b/NLnet1.3) id AA08545; Sun, 2 Nov 1997 11:36:16 +0100 Received: from ns.NL.net (ns.NL.net [193.78.240.1]) by contura.NL.net (8.8.7/8.8.7) with SMTP id LAA19956 for ; Sun, 2 Nov 1997 11:36:10 +0100 (CET) Received: from contura.NL.net by ns.NL.net (5.65b/NLnet1.3) id AA07968; Sun, 2 Nov 1997 11:32:50 +0100 Received: from ns.NL.net (ns.NL.net [193.78.240.1]) by contura.NL.net (8.8.7/8.8.7) with SMTP id LAA19099 for ; Sun, 2 Nov 1997 11:31:29 +0100 (CET) Received: from ella.mills.edu by ns.NL.net (5.65b/NLnet1.3) id AA02003; Sun, 2 Nov 1997 01:10:27 +0100 Date: Sun, 2 Nov 1997 01:10:27 +0100 Received: (qmail 7709 invoked from network); 1 Nov 1997 16:09:19 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 1 Nov 1997 16:09:19 -0800 Message-Id: <971101190706_715741407@emout06.mail.aol.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu