I've been working on my prime errors and complexities paper over the past week. Because I've had a really bad Internet connection I haven't been able to...
Hi graham do you permit me to put it in my site until your problem benig solved? Shaahin Mohajeri Tombak Player & Researcher , Microtonal Composer My web...
... I teach piano too, had five students at one point, but nobody under 12. (Well not since high school anyway) The full phrase is "easy peezy lemon squeezy"...
... For the smallest ratio among that 4 values we do obtain: ln(2)/ln(2401/2400) =~ 1663.89978... Round that to the next integer for: 1664=13*2^7 ET Hence ...
... Encyclopedia, ... of ... p/q>1, ... Finally, this is all making sense (almost). Taking the kernel space, a=[-19,12,0; 7,0,-3; 0, 28, -19] I see that...
I've updated it now with a new equation that means the octave-specific error might be almost as simple and stable as the octave-equivalent one. That's...
... Thanks! One thing to note is that the numerator's an approximation to badness squared. As the whole thing's error squared that means the denominator must...
... Wow--looks great! I look forward to reading it. ... calculate ... Right. You still need ... other ... It seems worth comparing; some sort of wedgie...
... I've got a good correlation between the std error*compelxity badness and m*n*std(err_m ^ err_n)/sqrt(n_primes) where m and n are the numbers of notes to...
... space, ... outer ... a ... I looked this up, one can just solve the Diophantine equation using the Generalized Euclidean Algorithm. Using the three...
... specific ... to ... I agree. I hope to finish your paper this weekend. You make it meaningful too which really helps me get my mind around it :) - Paul Hj...
Hi Paul, I haven't really been following discussions here much lately, but thought that i would direct you to my "bingo-card" page if you don't already know...
... What's the algorithm for multiple commas? This is still an unsolved problem for me. According to Mathword, "Generalized Euclidean Algorithm" isn't...
... Hang on, Mathworld lists LLL reduction as a suitable algorithm. That doesn't solve the difficult problem because it only *reduces* the lattice. It...
... That ... Triprime commas will do that for you. My personal algorithm is Hermite reduction of the triprime commas, followed by LLL. This in practice always...
... You can also generalize it to an nxn matrix containing means-of-errors-of-products. That gives us a complexity measure that works for temperaments of any...
... using ... commas ... unsolved ... That ... a ... Thanks Graham. I need to figure out your post. (Thanks for including mapping by steps which is another...
Harmonic Series Question - Calc Formula? Hi, I'm trying to understand a weird sort ot math, music related problem. Wondering if anyone out there may be able...
... The vectorized wedgie is the wedgie in vector form. That is, the wedge product of the two mappings flattened in a way that's standard in these parts. It's...
... got ... including ... Yes I see it is the wedge of the two mapping by steps vectors, which have been tinkered with a little. I'll figure it out, no need to...
Complete change of pace here. Been playing around with "GAP" and have verified something I thought may be true. Not a big deal, but it kind of brings group...
First off, here is what we know at the start; An unknown set of frequencies exists . Each frequency in the set is the product of two separate values (tones if...
... Integral Gaussian reduction in place of Hermote reduction (which is a standard form) should work. I don't know what algorithms you have on call with your...
... was ... you ... direct ... etc. ... 6x_6^2 ... occuring in various places of course) * Actually, in this case the 24 pieces are just 12 transposes of C3 ...
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