source file: mills3.txt Date: Sun, 31 Aug 1997 19:51:06 +0200 Subject: Tuning of the 2nd sruti From: gbreed@cix.compulink.co.uk (Graham Breed) Back in digest 1167, Paul Erlich wrote: >The evidence that temperament was used lies in the fact that sruti 2 served >as a recognized chromatic alterations in both scales. It likely functioned as >16/15 in sa-grama and as 135/128 in ma-grama. Early instruments seemed to >have placed the fret for sruti 2 exactly halfway between the open position >and sruti 4. I've just started to work this out quantitatively, and I'd like some clarification. I assume sruti 4 is tuned to 9/8. For the sruti 2 fret to be halfway here implies halving the frequency difference, hence the interval is ln(17/16)/ln(2)*1200=104.96 cents. Halving the pitch difference gives ln(9/8)/ln(2)*600= 101.96 cents. Are the data precise enough to say which it is? I've had a look through the ragas defined on srutis in Manuel Op De Coul's mode list. Some of them imply a diaschisma=0, but some are probably schismatic. The plot thickens ... SMTPOriginator: tuning@eartha.mills.edu From: gbreed@cix.compulink.co.uk Subject: Re: Demisemitones PostedDate: 31-08-97 19:47:38 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 01-09-97 17:08:22-01-09-97 17:37:54,01-09-97 17:37:37-01-09-97 17:37:38 DeliveredDate: 01-09-97 17:37:38 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C1256505.0053268B; Mon, 1 Sep 1997 17:08:13 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA09783; Sun, 31 Aug 1997 19:47:38 +0200 Date: Sun, 31 Aug 1997 19:47:38 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA09779 Received: (qmail 1715 invoked from network); 31 Aug 1997 17:47:30 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 31 Aug 1997 17:47:30 -0000 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu