source file: mills2.txt Date: Tue, 17 Dec 1996 07:10:14 -0800 Subject: Genesis of a Music question From: Gary Morrison <71670.2576@compuserve.com> > What is a 5 limit (or any "n" limit for that > matter)? ... Is the highest prime 5 that any number in numerator or > denominator can be divided into? Yes, either numerator or denominator. > What about 16/15. This ratio's numerator and denominator are > divisible by primes that are 5 or less. 16:15 is a 5-limit harmony (a half step in particular. > Does he choose his scale based on > what sounded good, on how close to just he could get? Partch's tuning system, called "Monophony", IS just, rather than close to it. He chose it based on many goals, including what sounded good I'm sure, but also on provisions for modulation, and other goals. I'd probably better not say much more, because I don't claim to be an authority on Monophony, and because there are many others on the list who know more. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Tue, 17 Dec 1996 16:09 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA20943; Tue, 17 Dec 1996 16:11:20 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA20933 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id HAA10103; Tue, 17 Dec 1996 07:11:16 -0800 Date: Tue, 17 Dec 1996 07:11:16 -0800 Message-Id: <199612171000_MC1-D44-44E1@compuserve.com> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu