... As soon as I have a little program written, I should be able to find a modulo-11 labelled Steiner System. Alas, it does not look like it will be 22 sets at...
... As soon as I have a little program written, I should be able to find a modulo-11 labelled Steiner System. Alas, it does not look like it will be 22 sets at...
... Hi Paul - do you know about the 11-tET set {0,1,2,4,7}? It generates a "biplane" geometry shown here: http://www.maths.monash.edu.au/~bpolster/bi.html The...
... able to find ... like it ... than 22 ... generates a ... in ... meaning ... exactly ... its ... you ... it. I'll ... what this ... congruent to ... C# E B ...
... I used the 19-tet set of quadratic residues, yes (one voicing is given in my previous email). What I did with it wasn't exactly a Steiner system... I have...
... able to find ... like it ... than 22 ... generates a ... in ... meaning ... exactly ... its ... you ... it. I'll ... what this ... congruent to ... C# E B ...
First a boring 5-limit thing: I'm sure this has been gone over, but I have always felt that this relationship is important: 3^7/2^11 is 13.685006 cents sharp...
... But then again, this is against a just fourth, not a tempered one. One point is that (5 * 3^7 * 2^-13)^12 =~ 2^5, or rather 5^12 * 3^84 * 2^-156 = 2^5, so...
Hi Paul, ... But that's not correct. This interval is the skhisma. The difference between the 12-edo 5th and the 3/2 ratio is a grad, which is 1/12 of a...
Hi Paul, ... I just sent in a post explaining the correct discrepancy. ... You got his name wrong: it's "Kirnberger". -monz http://tonalsoft.com Tonescape...
... Thanx Monz. As you see I realized the error in my error. I will look at your pages. Last night, I had fun trying to combine the "landscape" comma which we...
... look ... plain "tuning", ... It's just four times the landscape comma, so there is no value added here...monz, are you aware of any synergies in combining ...
... If you combine them, you come up with the 7-limit 612&1848 temperament. Both 612 and 1848 are more notable in the 11-limit than the 7-limit, and it really...
... <phjelmstad@> ... temperament. ... limit, ... be ... Interesting. Here is a another more elementary way to combine them, I call it "splitting the atom" As...
... wrote: I'm not sure what the heck you are doing, but (landscape/atom)^(1/3) = |-55 30 2 1> = 36030948116563575/36028797018963968 Aside from 612 and 1848,...
... <phjelmstad@> ... One thing this accomplishes is tnis: giving a comma basis for atomic temperament in the 7-limit. The atom and the landscape comma don't...
... atomic ... do ... comma ... I'll have to run some calculations. I'm glad they (together) form some kind of comma basis, somewhere. Especially in the...
... * * * * * * Therefore, Synth^7 * Landscape^4 ... Synth^7/12 * Landscape^1/3 ... I haven't reconciled with your landscape/atom yet, but I am probably just...
... I can tell everybody hates it. It doesn't improve on the grad, I guess this will just go into the bin of "novelty commas" In cents: grad 1.955000865 ...
Re: Synthetic comma: Here's what I can salvage from this: Major third based on Landscape: 3^2 * 7 / 5^2 * 2 Perfect fourth due to Atom: 3^7 * 5 /2^13 Synthetic...
Hi all, I'm making Tonescape files of all of the TOP temperaments described by Paul Erlich in his "Middle Path" paper (_Xenharmonikon_ 18). The calculation for...
... I think you need to make the period mapping explicit. Maybe GeneratorCents*GeneratorNumber + Period*PeriodNumber if I understand the original formula...
If one counts the septachords in a 31 symbol system (not neccessarily 31-tET) you get 32,000 different scales. This is based on having one C, one D, etc. ...
... neccessarily ... one ... allowed, ... needs ... is, ... which ... Forgot to mention that you can only transpose the lowest value on the LHS plus the lowest...
see <http://blog.wikispaces.com/2007/05/math-in-wikispaces.html> for details The wiki in question is <http://xenharmonic.wikispaces.com>, though you are...
... Paul - I would guess you'd also want to weed out scales that weren't in ascending order. For example <Cx Dbb E Fx Gbb Ax Bbb>. If this is the case, then...
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