... I only put it into one calculation. There's the increasing size of the integral: http://www.research.att.com/~njas/sequences/A117538 2, 5, 7, 12, 19, 31,...
http://www.research.att.com/~njas/sequences/A117536 Whoa, whoa, whoa. Whoa. My head just exploded. Is it possible to explain why these pop out of the Riemann...
... I guess the Riemann-Siegal formula for Z(t) would be a good place to start. Or simply take the zeta function in the half-plane with real part greater than...
... I missed this somehow. ... No integral in this one. ... Ditto. ... This is the one I was referring to. It's also the best of the lot as far as ETs, except...
... I guess what's really needed is a rate of growth estimate for these things, or an omega theorem (theorem about something exceeding a given value infinitely...
... behavior ... is ... the ... This isn't much compared to the Riemann Zeta thread, (which is how I got involved in the newsgroup, BTW) but just to finish off...
... (t) ... et. ... of ... 1395, ... Gene, in the last list, when you say midpoint, is it the only possible integer value between the zeros of z(x)? (For which...
... Right. At most one integer value appears in the interval. (For which ... Right, that's it. I wrote that Wikipedia article just so as to have the Z function...
With Dave Keenan's new Sagittal spreadsheet, I've started taking another look at notating regular temperaments. One of the temperaments that's always been a...
... I put a start on this. I'm doing a Graham-style thing with the errors of primes in ETs. I can print the n best (as in least badness) ETs under different...
... another ... accidentals ... Hi Herman, That's beautiful. Wonderful to see the information being put to use so quickly. Sorry I took so long to finish it. I...
Of course you have to use the "Show message option/Use fixed width font" thing to see what I'm talking about in my previous message in this thread. -- Dave K...
... another ... that's ... accidentals ... notate ... into ... But ... Could you put in a key? It would be nice if this was translated into something where a...
... I don't have a clue what you are doing. Is there a prime limit 540 looks outstanding in? I went up to the 101-limit and the best I found, which I would...
... I'm making a start now. First sentence of 1.2 - this only applies to regular temperaments, right? Taking the best approximations of primes in an ET, we...
... The 40th prime is 173. If you look for ETs < 1201 in the 173-limit, 540 should win on error * complexity, where complexity = 540^(40/39) and error = the...
... Some further points (1) Why bring up pre-weighting? (2) Table 3 is kind of confusing if you are not used to seeing a mapping/val presented thusly. (3) It...
... Understandable. I like the pure notation because the size of the symbol gives you a rough idea of how big the interval is, and I can never remember the...
... I think pretty much all of these are the names from Paul's paper without the -pent and -sept suffixes (if any). I don't recall if I've seen "luna" in any...
... I can never remember the single ascii symbols; they're pretty much arbitrary and you have to memorize each one. Besides, without using the mythological...
... Hi Carl, Good point! I guess I can retrospectively claim to have been using the term linear temperament in the strict Erlich/Secor manner. ;-) For...
... Drat, you got me there. I've been meaning to read that term the strict way ever since Paul beat me up over it. I'm glad to see I'm not alone in still...
I've put this up: http://www.xenharmony.org/inverses.htm My hope is that Graham will find it worth referencing, and people in general useful to know....
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