... Hold on -- you seemed to imply that you could interpret Hahn distance as weighted graph length. Did I grasp your meaning correctly? If so, how do you do...
... These are distinct so I have no idea how the "weighted version" can be both. Let me repeat what you yourself acknowledged: the "Hahn distance" of 9:5 is: 1...
... I thought you insisted on using "Hahn distance" only for the weighted version. The algorithm given by Paul gives 9:5 as 3.9068905956085187 in either the...
... distance ... so, ... I don't think that helps. I meant, how do you construct the graph, and with what weights? ... So you say. However what you're...
... Obviously I'm still not using the magic words. What, Paul, would you like me to call this thing we've been talking about now for 10 years? ... Didn't we...
... can ... Quite the contrary. I've been quite consistent in using for the unweighted version, as I remember Paul Hahn's ideas well. ... He may have also...
... Words? ... I don't care! I don't know why this is your response when I ask you how you construct the graph! ... ratio- ... positions), ... happens in ... ...
... I understood and agree, but I'm simply not clear on what your preferred terminology is. I can only guess from the above that you want the unweighted...
... Though it doesn't agree with 'weighted Hahn' as I would have ever understood that term: there, the 7-limit distance is just what you say, but the 9-limit...
... which ... faster, ... (2) ... Maybe I have no place butting in here, but I get 1408.7 for err(j) and 0.37159 for err. This is using Octave. Just for fun,...
... don't ... diameter ... Sure, if we can find a graph to support it! I've been putting the 'distance' in "Hahn distance" in quotes because this isn't clear ...
... But you do care. The reason people everywhere find communicating with you so exhausting may be that every time they want to refer to something they have...
... for ... website. ... (11)/log ... (2)]; ... log ... The (j) part should have been deleted, as we discussed. ... Which tuning did you plug in? ... For which...
... you ... Maybe so, but not now, not here. ... No, because in most people's idea of a triangular lattice, 9 will have twice the distance of 3 no matter which...
... Hahn's assertion was that the odd- and prime-limit distance would be the same. When did he take this back, and what code are you using to get 3.17? ... As...
... version, ... favored, ... say, ... algorithms ... What exactly do you mean by this? ... As I recall, *I* made an incorrect assertion resembing this, which ...
... On the graph, there will be something you get to when you take two steps in the 3 direction. What is this something? And furthermore, even if there is a...
... Whoops -- adding yields 3.90689059560852, which is the number you gave. But in the 9-limit or above, 9:5 is a consonant ratio of 9, a single step of length...
... That 9:5 would have a the same distance in the 7- and 9-limit. ... This compares it to expressibility. Don't see anything about its value at different...
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