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Messages 10359 - 10388 of 17519   Oldest  |  < Older  |  Newer >  |  Newest
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10359
Here are some rationalized wolves for three temperaments (meantone, hanson/kleismic, magic) which have consonances as a generator. I give the generator leading...
Gene Ward Smith
genewardsmith
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May 1, 2004
8:48 pm
10360
... 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 ...
hstraub64
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May 3, 2004
10:08 am
10361
... way - ... Beats me; "harmonic" here is in the sense of "abstract harmonic analysis", meaning Fourier analysis on groups....
Gene Ward Smith
genewardsmith
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May 3, 2004
6:39 pm
10362
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...
Paul Erlich
paulerlich
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May 5, 2004
10:27 pm
10363
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...
Paul Erlich
paulerlich
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May 6, 2004
12:50 am
10364
... What is the bound of your paper at the moment?...
Gene Ward Smith
genewardsmith
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May 6, 2004
6:29 am
10365
... 390625/373248, 5971968/5764801, 50/49, 875/864, 1728/1715 ... 140625/131072, 525/512, 50/49, 1029/1024 ... You'd better give me the whole request, because...
Gene Ward Smith
genewardsmith
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May 6, 2004
6:51 am
10366
... 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....
Herman Miller
teamousechan...
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May 7, 2004
2:55 am
10367
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. ...
Paul Erlich
paulerlich
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May 8, 2004
12:17 am
10368
... 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...
Paul Erlich
paulerlich
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May 8, 2004
12:27 am
10369
... 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...
Paul Erlich
paulerlich
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May 8, 2004
12:40 am
10370
... <gwsmith@s...> ... tabulating, ... limit ... The hanson thing doesn't matter since catakleismic/hanson7 isn't being discussed anyway. I could give what I...
Gene Ward Smith
genewardsmith
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May 8, 2004
4:33 am
10371
... 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...
Paul Erlich
paulerlich
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May 8, 2004
5:14 am
10372
... 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...
Gene Ward Smith
genewardsmith
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May 8, 2004
6:29 am
10373
... save ... that ... Yes. ... Yes, in the next paper or two. Math content is minimal, at John's request....
Paul Erlich
paulerlich
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May 10, 2004
4:32 pm
10374
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...
Paul Erlich
paulerlich
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May 11, 2004
6:38 pm
10375
... 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...
Paul Erlich
paulerlich
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May 11, 2004
7:31 pm
10376
... 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,...
Carl Lumma
clumma
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May 11, 2004
7:57 pm
10377
... No, it's too early. ... Hmm . . . so it's not quite the same. Gawel might be this one, though: OUT ... Thanks, Carl!...
Paul Erlich
paulerlich
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May 11, 2004
8:24 pm
10378
... 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...
Paul Erlich
paulerlich
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May 11, 2004
9:01 pm
10379
... TM basis: {81/80, 686/675} commas: [1029/1000, 686/675, 81/80, 177147/175616, 10976/10935] ... TM basis: {49/48, 250/243} commas: [282475249/262144000,...
Gene Ward Smith
genewardsmith
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May 11, 2004
10:19 pm
10380
... 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....
Gene Ward Smith
genewardsmith
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May 11, 2004
10:24 pm
10381
... 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?...
Paul Erlich
paulerlich
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May 12, 2004
5:22 am
10382
... Sorry, I was thinking logs, but you mean the no logs....
Gene Ward Smith
genewardsmith
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May 12, 2004
6:39 am
10383
How do you calculate if a given comma vanishes in the temperament represented by a given wedgie?...
Paul Erlich
paulerlich
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May 12, 2004
8:17 pm
10384
What's going on here? [5, 13, -17, 9, -41, -76], TOP error 0.27611 "plus" [13, 14, 35, -8, 19, 42], TOP error 0.26193 "equals" [18, 27, 18, 1, -22, -34], TOP...
Paul Erlich
paulerlich
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May 12, 2004
8:56 pm
10385
... 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......
Carl Lumma
clumma
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May 12, 2004
9:09 pm
10386
... 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...
Paul Erlich
paulerlich
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May 12, 2004
9:15 pm
10387
... 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...
Carl Lumma
clumma
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May 12, 2004
10:01 pm
10388
... 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...
Gene Ward Smith
genewardsmith
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May 12, 2004
11:52 pm
Messages 10359 - 10388 of 17519   Oldest  |  < Older  |  Newer >  |  Newest
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