Mandelbaum on brun

http://www.anaphoria.com/mandelbaum.PDF

selection on Viggo Brun from MULTIPLE DIVISION OF THE OCTAVE AND
THE TONAL RESOURCES OF 19-TONE TEMPERMENT- M. Joel Mandelbaum 1961-

-- Kraig Grady
North American Embassy of Anaphoria island
http://www.anaphoria.com

The Wandering Medicine Show
Wed. 8-9 KXLU 88.9 fm

On 8/23/02 4:37 PM, "Kraig Grady" <kraiggrady@...> wrote:

> http://www.anaphoria.com/mandelbaum.PDF
>
> selection on Viggo Brun from MULTIPLE DIVISION OF THE OCTAVE AND
> THE TONAL RESOURCES OF 19-TONE TEMPERMENT- M. Joel Mandelbaum 1961-
>

Imagine my surprise. Someone trying to get my attention hmm? Anyway how
did *you* get a copy of the sacred scrolls LOL

Yup that was my favorite algorithm for years. Couple years into it is when
I started realizing that if you push nested scales up the list, you get a
convergence to webs just intervals. Ahh the memories.

I'd still like to check out that PSLQ thing but I can't get a straight
answer out of anyone as to how it works and the Greek text is, well... Greek

Funny, in 1960, he said everyone was getting different answers... only
carrying out to three decimal points will do that. Especially if someone
else carries it to four.

mArc

--- In MakeMicroMusic@y..., "Orphon Soul, Inc." <tuning@o...> wrote:

> I'd still like to check out that PSLQ thing but I can't get a straight
> answer out of anyone as to how it works and the Greek text is, well... Greek

You can play with it using the integer relations robot; for example
the email

do pslq
data (ln(2), ln(3), ln(5),ln(7),ln(11))
precision 12
end
finish

sent to ir@...

returns

Evaluating Linear Dependence:
Data: [ln(2), ln(3), ln(5),ln(7),ln(11)]

Method: PSLQ
Result (12): [265, -296, -308, 12, 256]

This tells us that 2^265 3^(-296) 5^(-308) 7^12 11^256 is a very small 11-limit interval, or comma.