back to list

Golden ratio in the Monzipedia

🔗Gene Ward Smith <gwsmith@svpal.org>

7/24/2004 7:39:03 PM

Bulbling about in it, I found this: http://tonalsoft.com/enc/

I'd amend this to change the claim that mathematicians use a capital
Phi for (1+sqrt(5))/2, and a lower case phi for (sqrt(5)-1)/2 = Phi-1.
In fact, they don't. (1+sqrt(5))/2 is usually called phi (lower case)
or tau (lower case), and occasionally phi' or tau' or something of
that sort is used for the algebraic conjugate, which is (1-sqrt(5))/2.
Of course if you want to use Phi for (1+sqrt(5))/2 and phi for Phi-1
there is nothing wrong with this; you simply say so.

🔗monz <monz@attglobal.net>

7/24/2004 10:41:08 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:

> Bulbling about in it,

"bulbling"?

> I found this: http://tonalsoft.com/enc/

it's obvious from what follows that you meant

http://tonalsoft.com/enc/golden.htm

since the Encyclopaedia now uses frames, the only
address you see in your address bar is the main one
to the Encyclopaedia index.

to get the exact URL for the page you want, you
have to copy the URL from the link in the index.

Opera lets you do this easily with a right-button
"copy link address" command. i think in Internet Explorer
you need to view the properties then copy.

> I'd amend this to change the claim that mathematicians
> use a capital Phi for (1+sqrt(5))/2, and a lower case
> phi for (sqrt(5)-1)/2 = Phi-1.
>
> In fact, they don't.

hmmm ... i picked that up on a webpage somewhere.
otherwise i would not know about such things.

> (1+sqrt(5))/2 is usually called
> phi (lower case) or tau (lower case), and occasionally
> phi' or tau' or something of that sort is used for the
> algebraic conjugate, which is (1-sqrt(5))/2.
>
> Of course if you want to use Phi for (1+sqrt(5))/2
> and phi for Phi-1 there is nothing wrong with this;
> you simply say so.

anyone else care to comment?

-monz