As a first attempt, I'm starting with the assumption that the notation system I'm looking for will have names for 4/3 and 3/2 -- for simplicity I'll call the...
... how about http://launch.groups.yahoo.com/group/tuning/message/81808 as second approxiamtion with other useful properites? Represented in extended...
Question: Has anyone here studied any of these lattices, in relationship to musical tuning? 1. A2.12 sublattice of the Leech Lattice (one of 23 Neimeier...
Let's get this out of the other chain:) Question: Has anyone here studied any of these lattices, in relationship to musical tuning? 1. A2.12 sublattice of the...
WOLFGANG VON SCHWEINITZ REDCAT January 24th, 2009 http://redcat.org/season/0809/mus/schweinitz.php "[Plainsound Glissando Modulation is] one of the most...
... Or, to the contrary, we have the option to keep those accidentals. The 2401/2400 ratio is a very small interval, around 0.7212 cents, but it can be...
This may be of interest: http://www.science-bookmarks.com/2009/04/very-short-history-of-mathematics.html I don't see direct citations, and I don't quite agree ...
Here's a presentation on the mathematical equivalent of MOS scales: http://www-irma.u-strasbg.fr/~kassel/ChristoffelNJ0407.pdf So, they're old, and they're...
A great find. The author is apparently unaware of the music connection, citing biology and such but not music theory. I like the graphic method. I bet Erv...
... I agree. This is exactly the type of math I am looking for. I was daunted at first by the 123 pages, but actually, it's kind of a Powerpoint style piece,...
Here is an interesting find, a paper on "David Lewin and Maximally Even Sets". As a "pleasant by-product" of Lewin's work with the FFT (Fast Fourier...
THEORY IN A NUTSHELL 1. The 132 Steiner hexads comprise 1/7 of the 924 total hexads (hexachords), in fact they comprise 1/7 in every BW (Black and White)...
p. 154: Projective Planes and Difference Sets This Chapter is exciting to me for a couple reasons. They discuss 7-tET, 13t-ET and 31-tET. 43-tET unfortunately...
... A better way to state this would be to say: A Z-related difference set (pair, or triple, or whatever) operated upon by the affine group action will produce...
Hello everyone, My name's Rick and I'm a new member. Forgive me for starting a new thread but I haven't got my 'daily digest' yet and couldn't find an answer...
... Rick, This looks really interesting. I am into algebra (groups, rings), and am learning more about complex analysis. I would be fun to start discussing...
... Hi Paul, Thanks for getting back. At this stage I don't know much about complex numbers either so you're not alone there. Unlike reals, I can't 'picture'...
... Actually Paul, there is one other problem that came up on the alternate tunings list which I can't find a math's solution for. And that is, how can the lcm...
... I can't seem to get to a lot of the links at the top. (Resources). I would say try to get to Gene's stuff and Graham's stuff to start. And don't worry...
In his essay "The 17-tone Puzzle -- And the Neo-medieval Key That Unlocks It" George Secor wrote: "Is 17-WT, then, the final step in this alternate history of...
Here is my compilation of data for diaschismic and kleismic temperaments, two of my favourite classes of all limits and my most favourite in the 5-limit. I did...
... Aha! This message was posted nearly 2 months ago and just showed up today! "Manu" & I have been discussing this off-list, and I'm now in the process of...
Here is an even temperament, fairly close to just. I haven't mastered the notation; how should this temperament be denoted? 2^840 is about 13^227. 7^153 is...
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