source file: mills2.txt Date: Sun, 16 Feb 1997 16:49:27 -0800 Subject: Reply to Matt and Harmonics & YAMS From: clucy@cix.compulink.co.uk (Charles Lucy) >So far you have only followed this up with questions. I'm >waiting to see your better model. I hold that real strings >have partials which are nearly but not exactly harmonic. >It's up to you to show that this is not so, and that the >proper model is built on the value pi, and that this >justifies your tuning system for plucked and hammered >string instruments, and that this justifies your tuning >system for other instruments. >Matt Nathan Thank you for your thoughts. From a practical standpoint, whatever I should produce as proof, in terms of instruments, experiments, data etc. I have too strong a vested interest in "proving" that Harrison was correct. Hence whatever further experiments, I should set up, few would believe me. I published details of his equations, and how they can be applied to musical instruments, about ten years ago, and since then, with others, have been making music and recordings using the technology. We come down to the problem of all "scientific" hypothesis logic, that a "Law" is only valid, until someone comes up with a better "Law". In this case the prevailing "Law" is a mapping of harmonics based on exact integer frequency ratios, and the proposed hypothesis is a mapping based on pi, as very clearly described by Harrison and at our websites. As I have yet to afford a full equipped acoustic lab, (neither in UK or here in Hawaii), the comparisons are difficult to make except on an experiential level. I missed the posting in alt.sci.physics.acoustics that you reposted. Thank you, I access newsnet via tymnet, then bix-to-cix via telnet and sometimes things get lost on the way, from my impatience with the delays and slow echos. Re: The question about Yamaha DX/TX microtunable gear. I have a list of YAM figures for many of the tunings and a table of the values for LucyTuning. For those who want to explore it, you can find it at: www.wonderlandinorbit.com/projects/lullaby where it can be downloaded. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 17 Feb 1997 04:43 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA08218; Mon, 17 Feb 1997 04:43:53 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA08206 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id TAA25604; Sun, 16 Feb 1997 19:42:16 -0800 Date: Sun, 16 Feb 1997 19:42:16 -0800 Message-Id: <3307D125.62BC@ix.netcom.com> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu