... I want the simpler ratios in a given size range to fare best. I guess I should figure out if we want the scores to be periodic as the interval size...
hi Gene, i've shifted this thread over to here so as not to bother the regular tuning list members. as usual, i sense intuitively that the explanation you've...
monz, gene is talking about the *beat rate ratios* in the close- voiced root-position triads, since bob brought that up. getting different beatings into...
hi paul, thanks. i've been following the thread enough to surmise that those numbers had something to do with beat ratios, but i'm still very unclear as to...
This got bounced as email by Yahoo, on the grounds that I don't have an account. Does anyone know how to cure that? ... The ratios are, for a closed position...
... So what happens as one inverts and re-voices these chords? ... All the beats happen at the same rate? Does that also mean they'll happen at the same...
... Go to http://groups.yahoo.com/mygroups/ and click 'e-mail prefs' and make sure the address is listed there. Then click 'edit my groups' and assign that...
If we look at the brat ratios of Wendell Well, they are approximately [r, 3/2, 3/2, r, 3/2, 3/2, 3/2, r, 3/2, q, r, r] where both r and q are nearly 2, but r...
... Blame Maple. ... What's really hairy, it turns out, is trying to sort out all the possibilities. I have more than 41 but less than 510 (depending on how ...
... Can it be written out as a polynomial? Then I could find the result for r = q myself. ... Brute force? I find it a little easier to use the beat rate...
Gene or whomever, can i please get a good, complete definition (with examples) of "brat", for the Tuning Dictionary? thanks. i've decided to create a page...
... For a major triad in close root position, let f be the ratio of the fifth to the root, and t the ratio of the major third to the root. Then the beat ratio,...
... Yes; I for one have no idea why I the Maj3rd/Min3rd ratio should be so important, how to parse the Scala output Paul and Manuel have been posting, how...
These each have five pure fifths. I give the scale, followed by the brats for each scale step. These are exact; there is an odd man out which is either 8/5,...
... how about finding the ones that best approximate werckmeister III, kirnberger II, kirnberger III, and valotti, for a start. be sure to try all rotation of...
... <wallyesterpaulrus@y...> wrote: Thanks; I was planning to look at beat ratios for some well-known temperaments (starting from meantones wasn't getting me...
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the tuning-math group. File : /well...
tuning-math@yahoogrou...
Mar 7, 2003 1:11 pm
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... I uploaded plots of the major thirds of some well-temperaments, going around the circle of fifths. The three "Smith Wells", decribed in the file, are the...
hey all, i've found some interesting meantones which give the lowest error-from-JI values thru the 11-limit: 11/48-, 8/35-, and 3/13-comma are three...
... What mapping are you using for 136? I can find two fairly good meantones [136, 215, 316, 382, 470] [136, 215, 316, 381, 470] Both have a fifth of 79...
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