Efficienty and the rest

Dear members of the tuning digest,

Something happened to me which really, really annoyed me.

When my email box got as full as 50 megabytes, it happily emptyed itself,
and I lost all of the ageing tuning digest posts.

As a consequence, I got so annoyed, I drank a cup of lemon and Paeroa, and
checked out a transendental meditation class at the local "I" center.

Can someone please give me some website(s) where I can get ALL of the
existing tuning list posts?

Altho I had this information sent to me, I had that chucked out as well.

I still have to scan all of them, and I am experimenting with recreational
mathematics, and I need stuff to add to them.

Something funny happened to me, just the other day.

I found quite an oddball relationship between the golden proportion and e.

I know that "e^x" is given by:

x^1 x^2 x^3 x^4 x^n
1 + --- + --- + ---- + ----..... -----
1! 2! 3! 4! n!

BUt I am dieing to know if there is any such power sereis to generate the
golden proportion.

The derivative of e^t is proportional to e^t, however, the derivative of t^g
(where g=golden proportion) is proportional to the golden proportion.

Thus, as we can see from the power series, giving e^x above, e^x is related
to x^n, so, I may be guessing, but x^g may have its own little power series,
with a whole lot of ratios featureing n^x.

I am also interested if anybody is interested in experimenting with the
"n-bocinni series"-the reatios taken from this get real interesting, and I
feel that a composition made on the Fibonacci, Tribonacci, Quadbonacci,
Pentbonacci, Hexbonacci, Septbonacci, and the Unbonacci, the "Unbonacci" are
all of those numbers that are NOT in any of the n-bonacci series, -believe
me, there are a few, and also, if:

e^xi=cos(x)+sin(x)i, then x^gi=???

Also, can someone please explain the latest
angle of the tuning digest in terms of "efficiency", "periodicity", and
"entropy"?

Carl Lumma had an interesting explaination as to:

a/b, c/d and taken from this (a+c*phi)*(b+d*phi), but I really still haven't
got my head around the purpose of doing this, at least as yet.

I am always looking for new mathematical concepts.

What does this mean, and how does it pertain to temperaments?

---Sarn.

--- In tuning@egroups.com, Sarn Richard Ursell <thcdelta@i...> wrote:

http://www.egroups.com/message/tuning/14181

> Dear members of the tuning digest,
>
> Something happened to me which really, really annoyed me.
>
> When my email box got as full as 50 megabytes, it happily emptyed
itself,and I lost all of the ageing tuning digest posts.
>

Hello Sarn!

Personally, I think your computer did you a favor. If you pay a
"flat rate" for unlimited Web access and also don't mind tying up your
phone line, I would recommend "Web based" access to the Tuning List.

It's is, therefore, possible to SEARCH for a topic on it and, also,
you can immediately go to links that are being discussed in the posts.

Just go to:

http://www.egroups.com/

To turn these things "on and off..."
_________ ___ __ _ _
Joseph Pehrson