> From: Paul Erlich <paul@stretch-music.com>

> To: <tuning-math@yahoogroups.com>

> Sent: Monday, July 02, 2001 11:55 AM

> Subject: [tuning-math] Re: Hypothesis revisited

>

>

> It's completely different.

>

> 2^( (2*pi) + 1 / (4*pi) ) = 82.2967 = 7635.3ï¿½

>

> 2^(1/2 + 1/(4*pi)) = 1.4944 = 695.49ï¿½

Hmmm... oddly enough, Paul, when I plugged

both of these formulas into Excel they gave the

same result! (the latter of your two)

My choice of additional parentheses must have made

the difference. Here are the exact Excel formulas,

which require PI to have an empty argument: PI() .

=2^((2*PI()+1)/(4*PI()))

=2^((1/2)+(1/(4*PI())))

Is there any way to decide which of the two is

more elegant? Does it matter at all? Can you

explain why they work out to the same ratio?

-monz

http://www.monz.org

"All roads lead to n^0"

_________________________________________________________

Do You Yahoo!?

Get your free @yahoo.com address at http://mail.yahoo.com

I'm not sure how you define "elegant". The first version I posted (the PDF)

is what Derive believes is the simplest using its *default* simplification

rules. These rules can be changed, but for now I'll stick with Derive's

answer.

--

M. Edward (Ed) Borasky, Chief Scientist, Borasky Research

http://www.borasky-research.net http://www.aracnet.com/~znmeb

mailto:znmeb@borasky-research.com mailto:znmeb@aracnet.com

Q: How do you get an elephant out of a theatre?

A: You can't. It's in their blood.

> -----Original Message-----

> From: monz [mailto:joemonz@yahoo.com]

> Sent: Monday, July 02, 2001 10:01 PM

> To: tuning-math@yahoogroups.com

> Subject: Re: [tuning-math] Lucytuning "5th" (was: Re Hypothesis

> revisited)

>

>

>

> > From: Paul Erlich <paul@stretch-music.com>

> > To: <tuning-math@yahoogroups.com>

> > Sent: Monday, July 02, 2001 11:55 AM

> > Subject: [tuning-math] Re: Hypothesis revisited

> >

> >

> > It's completely different.

> >

> > 2^( (2*pi) + 1 / (4*pi) ) = 82.2967 = 7635.3ï¿½

> >

> > 2^(1/2 + 1/(4*pi)) = 1.4944 = 695.49ï¿½

>

>

> Hmmm... oddly enough, Paul, when I plugged

> both of these formulas into Excel they gave the

> same result! (the latter of your two)

>

> My choice of additional parentheses must have made

> the difference. Here are the exact Excel formulas,

> which require PI to have an empty argument: PI() .

>

> =2^((2*PI()+1)/(4*PI()))

>

> =2^((1/2)+(1/(4*PI())))

>

>

> Is there any way to decide which of the two is

> more elegant? Does it matter at all? Can you

> explain why they work out to the same ratio?

>

>

>

> -monz

> http://www.monz.org

> "All roads lead to n^0"

>

>

>

>

>

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