source file: mills2.txt Date: Wed, 19 Feb 1997 21:32:57 -0800 Subject: To Charles Lucy, ghosttones From: Matt Nathan Charles Lucy wrote: > >Are you sure that the ghosttone positions line > >up exactly with the fret positions, and aren't > >slightly displaced in some places? > > How wide is your finger? How thick is a fret? The node of a vibrating string and the edge of a fret effectively resolve to points, no matter the width of the finger used to dampen the string or the thickness of the fret. Are you saying that these points always coincide? > >Where does an octave fit into a sequence of fourths > >and fifths? As you know, no number of fourths and > >fifths will produce an octave (except in equal > >temperaments). > > At the first stage. i.e. at the 50% position. You're missing the contradiction. You said all ghosttones follow a series of fourths and fifths. An octave doesn't occur in such a series. Please explain this contradiction. > Therefore octaves are at 50%, 25%, 12.5% 6.25% etc. > yet which octave, I have yet to ascertain again. So you're saying that these first few important ghosttones are rational intervals (2.000, 4.000, etc.)? > >Have you measured the frequencies of the open string > >and this ghosttone using a tuner to see if their > >interval ratio is indeed 2.988824? This would be an > >obvious first test of your model. > > Yes, yet it tells me more about the electronics and > limitations of my tuner, than about the string sounds > or frequencies it is supposed to be reading .... > > Counting beating against another nearby tuned string > with a metronome makes more sense to me. Will you describe this procedure? Matt Nathan Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Thu, 20 Feb 1997 07:26 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA12235; Thu, 20 Feb 1997 07:26:42 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA12231 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id WAA01761; Wed, 19 Feb 1997 22:25:06 -0800 Date: Wed, 19 Feb 1997 22:25:06 -0800 Message-Id: <330C01E5.2D61@dnvr.uswest.net> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu