source file: mills2.txt Date: Fri, 21 Jun 1996 15:28:22 -0700 Subject: Self-Similar scales correction From: John Chalmers I need to make a correction to the note I posted this AM about Self-Similar scales. The iterated type of Brian McLaren's that I discussed is not octave limited, but rather, is bounded by the generating relation itself. In his paper "The Uses and Characteristics of Non-Just Non-Equal-Tempered Scales," 1993. XH15:27-41, he generates one class of such scales by taking a number (e, pi, etc.) converting it to cents (1200*log(N)/log(2)) and sequentially dividing the cent values by the original number. If pi is chosen, the initial value is approximately 1982 cents, then 631, 201, etc. as each term is divided by pi. He did not consider more than one such cycle, that is adding multiples of 1982 to these numbers. --John Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sat, 22 Jun 1996 20:24 +0100 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id LAA00357; Sat, 22 Jun 1996 11:24:49 -0700 Date: Sat, 22 Jun 1996 11:24:49 -0700 Message-Id: Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu