source file: m1456.txt Date: Tue, 23 Jun 1998 14:40:00 -0400 Subject: Re: Commas and Consistency From: "Paul H. Erlich" This message is in MIME format. Since your mail reader does not understand this format, some or all of this message may not be legible. ------ =_NextPart_000_01BD9ED6.540A806A Content-Type: text/plain Sorry people, I don't know why my e-mail is suddenly doing that MIME stuff! Jonathan Walker wrote, >Thanks, Paul, for your definition of the "consistency" which was at >issue. A 5-limit consistent ET, unless I misunderstand you, would then >be definable as any ET of which the proposition >abs ( 4f(3/2) modn - f(5/4) ) = abs ( f(4/3) + f(5/4) - f(5/3) ) >is true, where for any real x, f(x) = [1/2 + log_2 x], and presumably >where the value of the expressions on each side is greater than 0. Is >this what you effectively mean? I think that is probably correct, but a much simpler and clearer proposition to determine 5-limit consistency is f(3/1)+f(5/3)=f(5/1). The general definition for L-limit consistency is f(b/a)+f(c/b)=f(c/a) for all 1<=a