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 = 7635.3�
>
> 2^(1/2 + 1/(4*pi)) = 1.4944 = 695.49�

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 = 7635.3�
> >
> > 2^(1/2 + 1/(4*pi)) = 1.4944 = 695.49�
>
>
> 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
>
>
> To unsubscribe from this group, send an email to:
> tuning-math-unsubscribe@yahoogroups.com
>
>
>
> Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/
>
>
>