Hi Graham, ... JSTOR's generous license allows *any* visitor to an institution which has a JSTOR account (i.e., a library) to access the complete articles. ...
... that's due to the http://en.wikipedia.org/wiki/Just_noticeable_difference limit of the human ear in http://en.wikipedia.org/wiki/Pitch_%28music%29 ...
... So how is that generous on the part of JSTOR? The institutions have to pay for that access. From what I know of academic pricing, they probably have to...
I'm working on a PDF about my proof of completeness of certain searches for rank 2 temperaments. I explained it here a couple of years ago but I don't think...
... The lattice version is about minimizing a single function that takes a free parameter. The first one is also about minimizing badness, but within a...
... For the 11-limit temperament ... I don't know a specific name, but the 7-limit version has been called "semisept". Of the other 11-limit "semisept"...
... I take it the "sept" refers to the 7-limit. In that case would an 11-limit extension be "semiundec"? ... Thank you! No temperament class is too obscure...
... You'd have to ask Gene about the "sept". It could be that the generator is half of the tempered interval 12/7. ... Yes, and both are from Gene Ward Smith....
... Unfortunately he's out playing with his science fiction friends. At least that's the last I heard. ... I was a bit dismissive of Harry. Maybe it is a...
... Incidentally, one reason for keeping summary.pdf is that I can't prove that the problem in lattice.pdf is properly bounded. So lattice.pdf is simpler and...
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 : /Paul...
tuning-math@yahoogrou...
Mar 5, 2008 8:08 pm
16985
Well, Here is my paper so far. I will post the Appendices to my Files Section. For now, just for fun, Notice that in 22-tET the Multiplicative Modulo Group...
I've been playing with generalized keyboard layouts for regular temperaments, and it occurs to me there ought to be some way to specify desired properties...
... This is the kind of thing the X System team are looking at. Do you have an X_System.pdf anywhere? As I don't think it's formally published yet I should be...
The PDF in question is now finished bar corrections. http://x31eq.com/complete.pdf I've also compiled a version that puts everything in one column which you...
... Section. ... Thanks. I am finding more typos myself. The paper needs a lot of work, but I am confident I have some good ideas. (The last paper I wrote was...
... Well, the vectors I'm trying to optimize aren't all linearly independent of each other. It occurs to me though that a brute force search might not be as...
... A layout can be defined by two linearly independent vectors. But yes, the two dimensional case isn't so difficult once you've chosen your temperament class...
I gave a badness function in http://x31eq.com/primerr.pdf that you could write as B**2 = det(<M|A_k|M> + (1 - epsilon**2)<M|A_B - A_k|M>) ... <H|A_k|H> Where...
... Bracketed operators should define the squares of measures, so that should have been B(E_k)**2 = k**2 E_k**2 + B**2 For the residual badness it gets simpler...
Here's something I found when browsing a Wikipedia mirror: http://www.reference.com/browse/wiki/Pseudo-polynomial_time The best temperament finding algorithms...
Hindoo scale: sa = 1 ri = 256/243, 16/15 = (81/80) x (256/243) Ri = 10/9, 9/8 = (81/80) x (10/9) ga = 32/27, 6/5 = (81/80) x (32/27) Ga = 5/4, 81/64 = (81/80)...
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