Since no one responded to Robert Scott's suggestion of using a value other than n^2, (the square of the partial number) I would like to ask for a little clarification of the information below. "instead of n^2, the | following lookup table: | | n C[n] (instead of n^2) | -------------- | 1 1.000 | 2 4.000 | 3 8.450 ............." The line that says n C[n] , I wonder what the letters mean. [n] , I take to mean to use the values you give instead of n^2. For example for the 3rd partial, instead of 3^2 or 9, you give 8.450. However "n C" of n C[n] I don't understand. Could you elucidate? I enjoyed reading the original pubublications of the experments inhnarmonicity. I am looking forward to reading about modern experiments with modern machines. ---ric ` ----- Original Message ----- From: Robert Scott <rscott@wwnet.net> To: <caut@ptg.org> Sent: Thursday, February 14, 2002 11:04 AM Subject: RE: frequencies | In answer to Richard's question, Denis Brassard writes: | | >>>>> | One equation used to find the frequency of a note is the following: | | I took the next 2 formulas from Dr. Albert Sanderson: | | (1.b) I=Bn^2 | B is the inharmonicity constant and n is the partial number. | <<<<< | | From my own empirical studies, I have found that the n^2 term | in the equation for inharmonicity does not agree with | actual measurements. I suggest using, instead of n^2, the | following lookup table: | | n C[n] (instead of n^2) | -------------- | 1 1.000 | 2 4.000 | 3 8.450 | 4 13.18 | 5 19.72 | 6 27.27 | 7 35.53 | 8 46.25 | 9 57.12 | 10 69.43 | 11 83.22 | 12 96.60 | 13 109.8 | 14 125.4 | 15 139.5 | 16 156.1 | | This is, in fact, what is used by TuneLab Pro and TuneLab Pocket. | | -Robert Scott | Real-Time Specialties |
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