The first issue of volume 2 of the Journal of Mathematics and Music is up on the website: http://www.informaworld.com/smpp/title~content=g793346902~db=all It's...
... The error of the 7/4 is determined by the error in the 7/1 and the error in the 2/1 -- the octave. Make those errors small and the error in 7/4 is bound...
... If you don't care about the error of the 7/1, there doesn't seem to be much point in optimizing for it. You might as well determine the error of the 7/1 by...
I did some graphical comparisons of a few 7-limit temperaments showing the TOP-weighted error and an unweighted error based on the superparticular primes (2/1...
... They're continuous functions, presumably of the generators. I've already argued that Tenney-weighted prime errors aren't the best when the scale stretch...
... Actually I was playing with different kinds of error weighting based on the notion of the human voice as an ideal timbre. It didn't work out terribly well...
Be careful when trying to calculate the sum of a series where, for each term, the next term is ALWAYS bigger. It doesn't actually converge. Could you refine...
Cornell III, Howard M
howard.m.cornell.iii@...
Jun 6, 2008 1:59 am
17383
... (Clipped) ... I thought I would revisit this "bit of Landscape" and I came up with a better comma than my rather useless "synthetic comma" Let's take...
... Left out that landscape^(1/3) = 1.26 / 2^(1/3) if my calculations are correct, which can also be split into 7 pieces, and closes the loop here, I think:-)...
I recently posted a Sagittal notation for Wendy Carlos' Alpha scale to the tuning list. It turned out to be pretty easy to find a good notation. I went on to...
Hi Herman, Without looking at this too closely... I'm sure you know that beta is very close to 19-ET. It has 1212-cent octaves. The 7-limit TOP stretch for...
... seven ... are ... Of course I meant compare each of these to the grad, or to seven times the grad, if you don't want to split into seven pieces, in these...
... Hmm, that could be one way to notate it. It would be like using 12-ET notation for diminished, a practical notation for the sake of simplicity. But I want...
I've made an addition in Scala version 2.25k of Herman Miller's recent idea of instead of optimizing the deviations of primes, the deviations of p/p-1 instead....
... Thanks, it turns out the epsilon constant of the linear programming module was set a bit too low. I changed it from 1E-14 to 2E-14 and now it works better....
... Thanks, it's working for me now. I did a few tests and it agrees with the numbers that I'm getting. Interesting that MSR magic and orwell leave the 4/3...
... ET ... the ... octaves. ... sycamore ... that ... 3, 1> ... works ... same ... would ... choice. ... Could you please show how you came up with the...
... I ran the Beta generator (63.8 cents) through a program that finds the closest approximation to the primes. Since the Sagittal notation system repeats at...
... the ... system ... (the ... more ... perfect ... another ... Thanks. I thought that you started with a matrix 1 0 0 0; Gen1; Gen2; Beta Comma, which was...
... That's a good method if you know the comma you want to temper out, but Beta isn't so much defined by its commas. There was a recent thread in the tuning...
Could someone give me the exact math on multiple/movable bridges--for example, say you slide a pencil under the 5th or 7th or 12th (etc) fret of a guitar, I...
Hi As your question is related to string length , this may help you: http://240edo.googlepages.com/equaldivisionsoflength(edl) Â Shaahin mohajeri , Tombak...
If the string full length is "l" and its frequency is "f" then for length "m" the frequency will be "f*l/m". For the string at the distance "m" from one bridge...
Hi Dan, ... Right after i took my last math course, a year ago, Brink asked me about this, and my knowledge of logarithms was fresh enough that i was able to...
Dear list members, I am preparing 96 notes per octave piano Synklavier/MIDI (97 keys, one octave from middle C up to the next C) in order to have it 24 hours...
Dear List members, I clarify some points that I felt were not clear enough in the previous mail The original idea of having an ultrachromatic acoustic piano...
Ready to write my book on Hexachord Theory. I really feel I have pushed this theory about as far as you can. My original goal was to find a nice seven by five...
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