I am studying the different counting methods of Polya. The first I learned about on this newsgroup, the second, by way of conversations with contributors to...
Here's a paper by a Slovenian electrical engineer, where he calculates succesively higher values of |Z(t)|. He also notices that these come near octave...
This is a rather far-fetched connection, since it involves JI scales as the number of notes to the octave goes to infinity. It's about Farey sequences, but you...
... conversations ... as ... is ... in a ... been ... generate ... question ... bunch ... Mathematics ... Smith ... the ... Well, I have been studying the...
The phenomenon of the peak values of zeta(1/2+it) being dominated by near integers n = ln(2)t/(2 pi) turns out to be even more apparent when you look at...
... far. ... Yes. Actually, the article is from the 1961 Illinois Journal of Mathematics. "Symmetry Types of Periodic Sequences" by E. N. Gilbert and John...
... Here's an explanation of the relationship between looking at zeta peaks and the derivative. We have zeta(1/2+it) = exp(i theta(t))Z(t) where Z is the Z...
... I've uploaded a plot of |zeta| in green and |zeta'|/theta in red to the zeta derivatives folder, under zeta, in Photos. It's quite illuminating....
... This is what first got me interested in the tuning-math group. Unfortunately, in spite of reading 2 popular books on the RZH ("Prime Obsession" and "The...
I am trying to contact Brian Lee about the scores of Elsie Hamilton's music that we located in England and at the Anthroposophy world headquarters in Dornach, ...
I found these links on usenet: http://www.titanmusic.com/papers/public/ps-cmmr2004.pdf http://gsd.ime.usp.br/sbcm/2001/papers/rEmilios_Cambouropoulos.pdf ...
... Interesting, though somewhat frustrating. The first paper didn't do a very good job of explaining the algorithms. The second wasn't claiming as much...
I always considered enharmonic-spelling to be a burden with musical notation software. Is there any program that actually understands that a certain note in a...
hi Ozan, ... yes ... Tonalsoft's Musica does. it clearly differentiates all "enharmonically-equivalent" sets of notes. (release 1.0 now planned for summer...
... ... well, of course, *how* it differentiates between enharmonics depends on exactly how the particular tuning works. for example, if the user is working in...
... Which chart? The first one corresponds with what Erv Wilson called Mavila, in that Meta-Mavila is constructed analogously to Meta-Meantone in terms of how...
... I believe it was the one that eventually wound up on his ET page -- your favorite page. ... Ah, good. Just wondering if any of these oldies fell through ...
... Well, the page must have looked different then, because things you say "not on monz's chart" about are there now, at tonalsoft.com. ... also ... I did that...
Igliashon Jones pointed out to me that a fixed template of generic intervals (1-3-6 or 1-4-6 or 1-4-7) rotated through Porcupine[8] gives three major triads,...
... No doubt. ... Hmm. ... Awesome! Strangely, I think I had these downloaded, meant to bulk convert them to png or gif, and somehow dropped the ball and...
... There's 4:5:6:15, interspersed with a nice 7b5 chord on 1-4-6-9. There are actually three 4:5:6:7 approximations in the scale (though not respecting the...
... which ... get ... In order to get the approximation without respecting the mapping, you'd have to exploit the "wrapping around" of the ET. But since your ...
... Done! It's missing Hedgehog. And, if they're mentioned in your paper, Amity and Vishnu. Also, Pelogic is still called Pelogic. Should it be called ...
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