Here are some rationalized wolves for three temperaments (meantone, hanson/kleismic, magic) which have consonances as a generator. I give the generator leading...
... Interesting math, in any case! But, hmm, the word "harmonic" seems to be used not in a musical way - what would the connection to music be? -- Hans Straub ...
7-limit now . . . val for 10: <10 16 23 28] val for 16: <16 25 37 45] wedgie: <<-6 2 2 17 20 -1]] According to Gene's file, this has TOP error of 3.740932 and...
Thanks again for this, Gene. Would it be too much trouble to also do [8, 6, 6, -9, -13, -3] and [6, -2, -2, -17, -20, 1] ? Those would be great. Also add these...
... This is the "Number 82" temperament that I commented on back in January. I still haven't done anything with it, but I've been kind of busy lately....
The tratio request I referred to would involve finding the smallest tratios, and/or the tratios with smallest LCM, for the 23 (now 25) wedgies listed below. ...
... It was going to be, for both 5-limit and 7-limit, (error/16.6667)^(2/3) + (complexity/23.5)^(2/3) < 1 since the bound falls in a nice wide moat in both...
... I guess this is all up for grabs at the moment. I'm using "semifourths" instead of "hemifourths" because generating by "semifourths" was already mentioned...
... <gwsmith@s...> ... tabulating, ... limit ... The hanson thing doesn't matter since catakleismic/hanson7 isn't being discussed anyway. I could give what I...
... 5- ... Sure. ... None. ... Yes; you said you couldn't handle the 11-limit case, so I'll save that, as well as {2,3,7}, {3,5,7}, etc., for part 2 and future...
... My computer keeps crashing now every 1000 temperaments or so, but I could finish doing 11 limit if your graph was truly crucial; I have in mind buying a...
Even though we were using a different complexity measure on January 27 (L-inf instead of L1), my current list of 25 is quite close to this one. So the method...
... This appears, to the best of my fading recollection, to be the temperament behind Andrzej Gawel's 19-of-36-equal scale. Does anyone have the Mills tuning...
... Some months back I ganked all the stuff on the mills site I could find. It isn't much, and the string "gawel" apparently doesn't appear within. However,...
... Very interesting. Now, how about: [3, 12, 11, 12, 9, -8] (Gawel?) [6, 10, 3, 2, -12, -21] [2, -9, -4, -19, -12, 16] The idea is that I'm moving my boundary...
... Gawel is OK by me. ... I don't have a name for this one. ... This I called beatles, on the highly questionable grounds that 19/64 is a poptimal generator....
... Huh? How does changing 23.5 to 24 make it a fixed exponent? ... The ... "Fifty ... and 50 ... I have no idea what you're talking about. What do you mean?...
... Boy, Paul, I am sure looking forward to your paper!! This reminds me that my 'tuning-math forms' project is in limbo. I have all the materials collected......
... Other than ennealimmal, which is a "bonus" temperament, my paper stays below complexity < 24 -- and I doubt I'll be talking about adding wedgies. So don't...
... Oh, I suspected as much. I'm looking forward to it for other reasons! ... Remember, the one where I show how to calculate this stuff on paper, 'long...
... Parakleismic + Amity = Ennealimmal. Both parakleismic and amity have 4375/4374 as a comma, and so does their sum (and difference, for that matter.) I did...