source file: mills2.txt Date: Wed, 7 May 1997 05:49:28 -0700 Subject: Harmonic Waste From: Mark Nowitzky Paul, In your theory of well-temperaments, on http://library.wustl.edu/~manynote/unique.html, I like the part about "harmonic waste". (And I thought harmonic waste was anything composed in the 20th century!) Actually, I tend to think music bounces between different tunings of the same note in our brains, whether or not the instrument producing the notes cannot handle it. E.g., in a ii, V, I progression (jazz or whatever), in the key of C Major, I think the D minor triad uses a different D (a slightly lower D) than the G Major triad does. My theory is that our brains know what was "meant" by the out-of-tune notes of an E.T. piano (or of a lousy singer). Anyway, keep up the good work! --Mark +------------------------------------------------------+ | Mark Nowitzky | | email: nowitzky@pacificnet.net | | www: http://www.pacificnet.net/~nowitzky | | "If you haven't visited Mark Nowitzky's home | | page recently, you haven't missed much..." | +------------------------------------------------------+ Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Wed, 7 May 1997 14:52 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA06842; Wed, 7 May 1997 14:52:03 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA06874 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id FAA13206; Wed, 7 May 1997 05:49:53 -0700 Date: Wed, 7 May 1997 05:49:53 -0700 Message-Id: <3370AE9E.4285@mag.linz.at> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu