source file: mills3.txt Date: Sat, 6 Sep 1997 01:18:04 +0200 Subject: RE: Tuning of the 2nd sruti From: apotome@freemail.nl Graham Breed wrote: > The following scale doesn't make sense > to me: > 3 2 4 3 2 4 4 Gandhaara Grama (Sarngadeva der. ma-grama) That's not so surprising. The Gandhaara Grama or ga-grama for short was already obsolete in the time of Bharata. (Grama by the way means "tone system", or "basic scale".) The descriptions that survived are only vague. It's said to be a scale more for the gods than for the people. It has less fifths than the sa-grama and ma-grama. Several authors tried to deduce what it could have been, an alteration of the sa-grama or ma-grama. The possibility that appears in most books is 3 2 4 3 3 3 4, given by the 13th century author Sarngadeva in the book Sangita Ratnakara. So these modes are only theoretical, it's unlikely that any one is used in practice. The 22-tone sruti system is by no means uncontroversial, but experiments where musicians tune instruments or oscillators have produced tunings that are in good agreement with the theoretical values. There are many theories as to why there are 22. One connection that has been made is, there are 7 natural tones and 22 srutis, which is a clear reference to 22/7 (pi). > This scale works as a diaschismic but not a schismic scale: > 2 6 1 4 2 6 1 Raga Bhairav > I'm assuming the intervals of 6 steps should be just minor thirds, > but I have no proof of this. The sixth sruti is 6/5 (or seventh if you start counting at 1) but in this case it would be 1 7 1 4 1 7 1 for just minor thirds (ignoring schismas). Paul Erlich wrote: >Perhaps the best theoretical remedy would be >to consider a 10-sruti schisma-augmented perfect fourth (499.999 cents) a >consonant interval in its own right, and fix 729/512 as the correct >tuning of sruti 12. The value 729/512 instead of 64/45 also makes the scale inversionally symmetrical around the interval 6/5-5/4. Manuel Op de Coul coul@ezh.nl SMTPOriginator: tuning@eartha.mills.edu From: Manuel.Op.de.Coul@ezh.nl Subject: Announcement of concert PostedDate: 10-09-97 03:17:52 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: 10-09-97 09:17:15-10-09-97 09:17:16,10-09-97 09:16:40-10-09-97 09:16:40 DeliveredDate: 10-09-97 09:16:40 Categories: $Revisions: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C125650E.002801A8; Wed, 10 Sep 1997 09:16:58 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA19104; Wed, 10 Sep 1997 03:17:52 +0200 Date: Wed, 10 Sep 1997 03:17:52 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA19119 Received: (qmail 24914 invoked from network); 10 Sep 1997 01:16:22 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 10 Sep 1997 01:16:22 -0000 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu