source file: mills2.txt Date: Wed, 18 Dec 1996 07:06:01 -0800 Subject: Harrison/Lucy comments From: Gary Morrison <71670.2576@compuserve.com> > As far as I remember, Doty got his arithmetic correct, yet > insisted on comparing everything to integer frequency ratios, > which of course entirely missed the significance of > the beating. Equal-beating in a meantone framework, yes. Or, well, almost yes. Erv Wilson's meta-meantone has equal-beating between 1-3 and 3-5 of a close-voiced, root-position major triad, with no doubling, and no notes omitted. As Dan Wolf pointed out, LucyTuning is close to, but not exactly identical with, meta-meantone, so the value behind the pi-based definition is unclear. The usual 4:5:6 JI version of that same chord is also equal-beating, but not in a meantone framework as with meta-meantone. As for patenting and copyrighting tunings, Mr. Lucy might want to ponder whether that approach will backfire on him. That in the sense that requiring people to get his permission (and probably pay royalties) to use LucyTuning commercially is likely to pretty much ensure that nobody will use it. There's a lot of "tuner fish" (har har) in the musical ocean. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Wed, 18 Dec 1996 22:10 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA02494; Wed, 18 Dec 1996 22:13:08 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA02492 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id NAA20461; Wed, 18 Dec 1996 13:13:00 -0800 Date: Wed, 18 Dec 1996 13:13:00 -0800 Message-Id: Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu