roots

Richard Brekne Richard.Brekne@grieg.uib.no
Sun, 11 Mar 2001 22:55:22 +0100


You are doing something wrong Duncan. I ran that same seires by calculater and
got identical results. Which of course you have to. There is no difference
between multiplying 110 by the 12th root of 2   and multiplying 110 by the
1200th root of 2 one hundred times. Think about it.

by my calculator ..... 110 * (1200w2)^100 = 116,5409403795.....
                        and 110 * 12w2               = 116,5409403795...

For your information.... the exact results you come up with are the result of
takeing 110 times 1200w2 .....99 times instead of 100. That my friend... is your
error. Grin...

"D.Martens" wrote:

> Richard wrote in replie to Newton's reply :
> >Your answer is of course the correct one. And it yeilds nearly exactly the<
> >same results as the 12th root of 2 in Duncans tables re<
>
> Newton's root  1.0005777895 for 1200 w 2on my table produces following
> results:
> 1200w2           12w2
> 110                   110
> 116.4736431  116.5409404
> 123.3995262  123.4708253
> 130.7372438  130.8127827
> 138.5112848  138.5913155
> 146.7475943  146.832384
> 155.4736602  155.5634919
> 164.718605    164.8137785
> 174.5132829  174.6141157
> 184.8903825  184.9972114
> 195.8845367  195.997718
> 207.5324372  207.6523488
> 219.872958    220                       < between 0.13 and 0.12 Hz
> difference. Too much.
>
> My root for 1200 w2 :1.0005782715387 produces:
> A    110                   110
> > A#  116.4791983  116.5409404        < between 0.07 and 0.06 hz
> difference.Still too much.
> > B    123.4113571  123.4708253
> > C    130.7560774  130.8127827
> > C#  138.5379123  138.5913155
> > D    146.7828764  146.832384
> > D#  155.5185324  155.5634919
> > E     164.7740834  164.8137785
> > F     174.5804706  174.6141157
> > F#   184.9704764  184.9972114
> > G     195.9788344  195.997718
> > G#   207.6423453  207.6523488
> > A      220                   220
>
> My goal is to have the numbers the same till 5 numbers behind the comma.
>
>  other suggestions and comments anyone ?
>
> Duncan

--
Richard Brekne
RPT, N.P.T.F.
Bergen, Norway
mailto:Richard.Brekne@grieg.uib.no




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