source file: mills2.txt Date: Sun, 6 Jul 1997 08:10:46 +0200 Subject: Re: The Outer Limits From: mr88cet@texas.net (Gary Morrison) >So far, all of the limits I have seen discussed have been _upper_ limits. > Has anyone explored the idea of lower limits - say, a lower 3-limit, which >would not allow a power-of-two to stand alone in a numerator or denominator? Oh yes! Up to a point anyway. That's an essential element of, or approach to perhaps, a nonoctave tuning, which I have long found interesting. I however have been working mostly with two nonoctave equal temperaments. But either way, you're absolutely right that the complexity of the harmony increases more rapidly when you omit two (or more). And so also does the variety. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sun, 6 Jul 1997 08:12 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA05574; Sun, 6 Jul 1997 08:12:33 +0200 Date: Sun, 6 Jul 1997 08:12:33 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA05614 Received: (qmail 2195 invoked from network); 6 Jul 1997 06:11:14 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 6 Jul 1997 06:11:14 -0000 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu