... // ... I'm not sure what "statement above" you're referring to. The one at the top of this message seems to be the one in contention, and mentions...
... How would you infer it for say, an unweighted measure? ... Which? I calculate both via operations on the numerator and denominator of the given ratio... ...
... <gwsmith@s...> ... Here it is - (Message 1016) If t(n) = n(n+1)/2 is the nth triangular number, we may denote these by T(n) = t(n)/(t(n)-1) = and S(n) =...
... For the least squares weighted prime function of the nearest prime approximation to 73-equal: 1000 0.000386288890546 1.00000525939 2000 0.000342631907251...
... It can't be that simple if you need such a routine! Can you find one for Python? Or any free language? How efficient is it for optimizing a billion...
... I don't know what you are using for a weighting, but it probably isn't enough; you might try the p^(-1/2) as a weight for the prime p (apeing the Zeta...
... Why not? Routines are as common as dirt. Can you find one ... Probably. ... Why in the world do you want to do that? But simplex algorithms run pretty fast...
... <gwsmith@s...> ... less ... Sounds like you're talking about higher-order versions of distributional evenness. An Nth-order distributionally even scale ...
... on a ... encloses ... no ... at ... It is? Can you clarify your point then? ... in ... you ... was ... the ... If the triangular lattice is equilateral and...
... values ... Above you used "tempered over" to mean a distributing of a fixed amount of comma so as to contribute equally to several errors. Now that you say...
... have ... same ... is ... Gene, how do you respond? I don't see how "unweighted Kees" could possibly make any sense, so I look to you to fill me in....
... idea ... You're answering my question with a question. I neither see how your answer answers my question (which referred to a statement of yours which you...
... Which I just did (on a notepad, that is). The question is, how would someone discover these identities? It couldn't just be trial and error (like I did,...
... No, I mean "most of the time", and it seems that it happens more often than one might suppose for the better 7-limit temperaments. What's the minimax Kees ...
... We can define the "p-norm" on 7-limit monzo classes as ... Then || ||_2 is the symmetrical Euclidean norm, and || ||_1 is the unweighted Kees norm. The...
... I discovered them by observing the pattern in question, and them proving the general result, which turned out to be easy. ... Is your brother interested in...
... measures ... far ... unstable ... !!! You need to specify your mapping before beginning the optimization. In this case, you'd need mappings with hundreds...
... So most of the time it nearly always does?? ... I supposed it happened every time the TOP tuning didn't have pure octaves, but you said otherwise. ... Wow....
... would ... Yes I guess I rediscovered the one, but I don't think I would have come up with the reversed one on my own. (Squares based on Triangulars) ... in...
... that ... Not really, I'm just talking about visually depicting these lattices in such a way that the norms we want to use with them come out looking as...
... all ... other ... non- ... More likely, it's 81/80 itself that would provide an example of an interval in the torsional block which belongs to the kernel....
... I'll check, but if you have handy a table of wedgies you could post here it would be nice. Based on TOP, I told Igliashon that 13-equal ... I don't even...
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