source file: m1457.txt Date: Thu, 25 Jun 1998 12:56:00 +0300 (DST) Subject: operations over scales (J.Haluska) From: Jan Haluska Hi all, Let the violinist John feel and play individually the Bach's Air ("On the string G") in the Pythagorean Tuning. Let the violinist Jane feel and play this Air individually in the 1/4-meantone tuning (why not?). We do not doubt that the professional players John and Jane are able to play this piece together with pleasure. The question is: IN WHICH TUNING? More generally: clearly 6+2=8,6-2=4,6:2=3, 6x2=12, etc., where +,-,:,x are operations over numbers 6 and 2. CAN ANYBODY TELL ME SOMETHING OR GIVE A REFERENCE ABOUT OPERATIONS OVER SCALES? They can be unary(one player), binary (duo), ..., n-ary (the assembly play). Regards, Jan Haluska High Tatra - Slovakia ------------------------------ End of TUNING Digest 1457 *************************