source file: mills2.txt Date: Tue, 25 Mar 1997 13:43:39 -0800 Subject: RE: Indian music (Paul E) From: Manuel.Op.de.Coul@ezh.nl (Manuel Op de Coul) From: PAULE to John Clough Are you the Clough who co-wrote with Rowell the article on early Indian scales and recent diatonic theory in _Music Theory Spectrum_? The article showed that "second-order-maximal-evenness," along with one other property, was sufficient to define the four rotationally distinct gramas of early Indian theory. Well, I accidentally discovered that a slightly different (but no more complex) definition of second-order-maximal-evenness is sufficient to give you the gramas without invoking any additional properties. If you are interested, I will discuss this definition. Incidentally, I believe the gramas resulted from tuning pure thirds and fifths, which were then reckoned in terms of 22 degrees, which can be explained in many ways. I don't find plausible the argument that the 22 degrees were a "universe" from which the scales were chosen. Nonetheless, if one goes down that path, there is an easier derivation of the gramas than that in your paper. -Paul E. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Tue, 25 Mar 1997 22:46 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA16858; Tue, 25 Mar 1997 22:46:07 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA03373 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id NAA06203; Tue, 25 Mar 1997 13:43:11 -0800 Date: Tue, 25 Mar 1997 13:43:11 -0800 Message-Id: <009B1CF40E3F1432.8A33@vbv40.ezh.nl> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu