Weierstrass Functions

hi Gene,

Brink has a book here at Sonic Arts,
_Fractals, Chaos, Power Laws,
Minutes from an Infinite Paradise_,
by Manfred Schroeder.

Chapter 3, "Self-Similarity -- Discrete,
Continuous, Strict, and Otherwise", has
a section called "Weierstrass Functions
and a Muysical Paradox", and the next section
is "More Self-Similarity in Music: The Tempered
Scales of Bach".

I haven't read it yet, but Brink talked about
it a bit and i wanted to note it here before
i forget about it.

Know anything about Weierstrass Functions?

-monz

--- In tuning-math@yahoogroups.com, "monz" <monz@t...> wrote:

> Chapter 3, "Self-Similarity -- Discrete,
> Continuous, Strict, and Otherwise", has
> a section called "Weierstrass Functions
> and a Muysical Paradox",

Oops ... my bad. It wasn't misspelled in the
book -- i did that. "Musical Paradox".

-monz

At 09:44 PM 6/15/2005, you wrote:
>hi Gene,
>
>
>Brink has a book here at Sonic Arts,
>_Fractals, Chaos, Power Laws,
>Minutes from an Infinite Paradise_,
>by Manfred Schroeder.

You surely remember, monz, that this book has
been cited on the tuning list many times over
the years, chiefly by Paul Erlich. I have it,
it's one of the best pop science books I've
ever seen, and I highly recommend it.

-Carl

--- In tuning-math@yahoogroups.com, "monz" <monz@t...> wrote:

> Know anything about Weierstrass Functions?

Here's Weirertrass's famous example of a nowhere differentiable
continuous function, which could be what you are looking for:

http://en.wikipedia.org/wiki/Weierstrass_function

Here is another Wikipedia article, orginally by some guy named Gene
Smith, about the most important functions with the name Weierstrass
attached to them, the Weierstrass elliptic functions:

http://en.wikipedia.org/wiki/Weierstrass%27s_elliptic_functions

Sadly, someone has screwed this up, so I'll have to go fix it.