source file: mills2.txt Date: Tue, 27 Feb 1996 07:42:30 -0800 Subject: Re: 7:4 as a structural interval From: Paul Hahn On Tue, 27 Feb 1996, Kerr Jamieson wrote: > Re David B. Doty's message:- > >Re Mr. Tsuji's question "Can we meet the fifth somewhere?" If I understand > >this to mean "will some number of 7:4's = some number of 3:2's," the answer > >is "not in JI." > > Surely seven of the one is half-a-dozen of the other in any context? > > Or am I missing the point somewhere along the line? I think you are (no offense)--the question is not: Are there integer X and Y such that (7/4) * X = (3/2) * Y ? but rather Are there integer X and Y such that (7/4) ^ X = (3/2) ^ Y ? Since the prime factorization of any integer is unique, the answer is clearly "no". --pH (manynote@library.wustl.edu or http://library.wustl.edu/~manynote) O /\ "A three-cushion player doesn't need to be married. -\-\-- o He already has enough aggravation." Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Tue, 27 Feb 1996 19:55 +0100 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA19433; Tue, 27 Feb 1996 10:55:00 -0800 Date: Tue, 27 Feb 1996 10:55:00 -0800 Message-Id: <9602271850.AA20996@delta1.deltanet.com> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu