source file: mills2.txt Date: Sun, 23 Feb 1997 22:43:15 -0800 Subject: Re: Beat frequencies from 110Hz. From: Matt Nathan Charles Lucy wrote: > Cix is down for maintainence, so I can't post this to tuning > at present. > Please forward, if you think it is relevant. > > If Harrison is correct, then we should get the beating rates > (or their doubles) > on this chart against 5/4 and 3/2 indicated as <<<<<<<. > This will then give us our A Major chord. > > LucyTuning beat frequency analysis Reference Freq. 110 Hertz > Large Ratio (L)1.116633 small ratio (s)1.073344 Pi3.141593 > Position JI Ratio JI (dec.)LT Ratio JI Hertz LT Hertz Beat Hz. Beat bpm > (A) I 1/1 1.000000 1.000000 110.0000 110.0000 0.0000 0.00 > ... > (C#) III 5/4 1.250000 1.246869 137.5000 137.1556 0.3444 20.66 <<<<< > ... > (E) V 3/2 1.500000 1.494412 165.0000 164.3853 0.6147 36.88 <<<<< This is the same chart again, with no explanation of what test provides the beats. It looks to me as if you're measuring beats between a reference pitch arbitrarily tuned to an ideal JI interval and a pitch from an arbitrarily placed fret. How is this beating supposed to show us anything about the frequencies of ghosttones, when no ghosttone is even used in the test? Matt Nathan Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 24 Feb 1997 07:56 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA15700; Mon, 24 Feb 1997 07:56:47 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA15691 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id WAA08745; Sun, 23 Feb 1997 22:55:13 -0800 Date: Sun, 23 Feb 1997 22:55:13 -0800 Message-Id: <33115047.33AD@dnvr.uswest.net> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu