source file: mills2.txt Date: Wed, 25 Jun 1997 06:33:22 +0200 Subject: Re: Octaves not exactly 2^N From: mr88cet@texas.net (Gary Morrison) >I saw one about tunings with octaves not being >exactly powers of 2. In most cases of variation it seems that values >greater (rather than less) than 2 are found in practice. The reasons >may relate to overtones being not exact harmonics of the fundamental. As an aside for any of you newcomers to the list, Bill Sethares has developed some well-defined techniques for manipulating the overtone structures of tones to make them have JI-like effects in non-JI tunings. Or the reverse. He's working up a book on the topic. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Wed, 25 Jun 1997 10:01 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA21670; Wed, 25 Jun 1997 10:01:57 +0200 Date: Wed, 25 Jun 1997 10:01:57 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA21701 Received: (qmail 26261 invoked from network); 25 Jun 1997 08:01:41 -0000 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 25 Jun 1997 08:01:41 -0000 Message-Id: <199706250400_MC2-1933-63C3@compuserve.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu