> Now I'm going to scan through the boring historical
> stuff on your page for an explanation as to why there
> is a choice involving the second degree. Anything you
> can do to speed that up would also be appreciated.
Tom has a web page on this I'm trying to decipher: http://www.rzuser.uni-heidelberg.de/~tdent/septenarius.html It it he presents the deviations from JI fifths...
... ... Once more - this scale is NOT correct. Honestly, all you have to do is read the webpage from start to finish to find out exactly what Werckmeister...
... MY failures? What the hell do you mean by that? The very first table in the webpage gives the scale with complete clarity; for an unfathomable reason, some...
Hi gene your scale has degrees of 1568-edl you can see something about this EDl-based well temperament and 196-EDL and The Septenarius, Werckmeister's mythical...
... The DEFINITION of the scale is in the monochord numbers, which are the first table in the webpage. I was working on the assumption that people would start...
... Believe it or not, Tom, I have about 2323 phone calls, 30949 e-mails, and 3909409 web pages to answer and read every day, only a fraction of them about...
... It's got one sharp fifth, but no thirds sharper than 81/64 like Paul's Continuo tuning. It does have a fifth even flatter than the 1/4-comma fifths he so...
... Indeed... "the major thirds are perfectly consistent with Werckmeister's other tunings [of 1691]: the purest lie at F-A and C-E, while the little-used...
... The dynamic range of WTs is quite narrow, even if you do things like allow sharp fifths. Listening tests here suggest that it's harder to distinguish them...
... Oh get off it, Carl! There are a lot of serious people doing a lot of very good and solid research in this field. There's also a lot of good, solid...
... That's mainly because most of the ones that have been tested here aren't very unequal, and/or because of acoustic conditions (timbre and sustain). Try...
... Rameau's 1726 advice asks for a run of 7 quarter-comma fifths (starting on either C or Bb) then gradual widening over the remaining 5, the last two being...
... If we were to have a color test with things like cold orange-reds and a warm red-oranges, would you say that the colors are hard to distinguish based on a...
... No, but I couldn't even tell the difference between all of the scales. And as I said, I wasn't trying to identify them, either; just rate their consonance...
... Which are NUMBERS. This is, without doubt or question, a nonstandard notation for positive rational numbers. Had they been given correctly in this notation...
... W's modified stringlengths can be interpreted as absolute frequencies of an 5ths circle: a'440Hz a220 A110 e'330 e165 b' 495 1485/1484 f#"742 f#'371 ...
Comments below! ... frequencies ... Instead of 496 and 372. This avoids having a wide e-b fifth and is better for G major and D major. ... I don't think this...
... right, in order to get rid of the oversharp wolfs in W's original stringlength numbers, alike in his famous #3 the 'quaternarius' has only 4 flattend and 8...
... agreed, hence i do return to W's original 131. ... also right, hence so the resulting ratios get even more simple: The calculations benefit from that by...
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