roots

D.Martens cybertuner@planet.nl
Sun, 11 Mar 2001 21:34:34 +0100


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






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