source file: m1434.txt Date: Mon, 1 Jun 1998 12:35:07 EDT Subject: The tuning formerly know as... From: Hi, tuning friends! I've been just lurking awhile, but still doing lots of tuning explorations. There's a set of tunings that I recently began to explore, and like a lot, that I can't come up with a good name for. Maybe somebody out there could help me out. I doubt that I'm the first person to try this method of tuning generation; some sort of nomenclature has probably been given by someone. If not, could one of you math gurus tell me the accepted terminology for the mathematical method I'm using? The tunings, which are simply non-repeating, theoretically infinite sets of harmonically related tones, are generated thusly: 1) Begin with any integer. 2) Add 1 to it 3) Add 2 to the result 4) Add 3 to the result of that and so on until you have enough tones to satisfy you, fill up your instrument's tuning table, or exceed the limits of human hearing An example would be 27, 28, 30, 33, 37, 42, 48, 55, 63, 72, 82, 93, ... Of course, you could also subtract instead of adding but I haven't tried that yet. These tunings really stretch the ear without ever clashing in the way that ET intervals can. I find that I have to be careful not to use too many tones at once; working gradually up and down the set sounding 3 to 6 adjacent tones at a time seems to work best. The results tend to sound remarkably modern while being neither grindingly dissonant nor neoclassical sounding. Remarkably, the organization of the tones seems clear to the ear. Well, enough promotion of my latest fascination, whatever it's called. Thanks! David Finnamore Nashville, TN Just Tune It!