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
This PTG archive page provided courtesy of Moy Piano Service, LLC